71. A second order system has a transfer function given by:
If the system initially at rest is subjected to a unit step input at t = 0, the second peak in the response will occur at:
(a) 𝜋 sec
(b) 𝜋/3 sec
(c) 2𝜋/3 sec
(d) 𝜋/2 sec
(a) 𝜋 sec
(b) 𝜋/3 sec
(c) 2𝜋/3 sec
(d) 𝜋/2 sec
Answer: (a)
72. A lag compensator:
1. Improves the steady state behaviour of the system
2. Speeds up the transient response
3. Nearly preserves its transient response
1. Improves the steady state behaviour of the system
2. Speeds up the transient response
3. Nearly preserves its transient response
Which of the above statements are correct?
(a) 1, 2 and 3
(b) 1 and 2 only
(c) 2 and 3 only
(d) 1 and 3 only
(a) 1, 2 and 3
(b) 1 and 2 only
(c) 2 and 3 only
(d) 1 and 3 only
Answer: (d)
73. For a state model:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdIAAAGpCAYAAAA5hbc0AAAgAElEQVR4Ae2dvYvcStr29W8o7nQyZyfqqBMnJ3GygYJJHDh4YYOGDgzONhA0HDAcMDQMBsMBIzAsC2agMTwYlgGxvGCWppMXcxgEy2EfM3RwGAZxvZSkkkpSSS2ppdZHXwd2R62P+viVXJfuqrvuMsD/SIAESIAESIAEGhMwGj/JB0mABEiABEiABEAh5UtAAiRAAiRAAicQoJCeAI+PkgAJkAAJkACFlO8ACZAACZAACZxAgEJ6Ajw+SgIkQAIkQAIUUr4DJEACJEACJHACAQrpCfD4KAmQAAmQAAlQSPkOkAAJkAAJNCdw2OPWtmBaDrzmqbT3pO/BdWxYpgHDEP+7gmU7cL3H9vLIpEQhzQDhTxIgARIggQoEhGDdLDEPxMqAMQQh9e+xXS1gzFdw9g8AfBz2DpZzE4b5Cs59N2JKIa3wvvAWEiABErgMAr/DsWaRJSctuqxIPmB/u4ZlCktvA9u6Cu/vXUgfce+8gmk8w3L7h9JcPh62K5iGAfPawb0fXfIcWPIjQPk7s108KU9XOaSQVqHEe0iABEjgIghIIZ3Ddg/aGvv7G1wv38dDpU+ujZkQor6F1N9hsxCW5wrbB6mWURUetlgGQ70vsNn/qanXEzznZfBBQCHV4OEpEiABEiCBqgSOC2k2paEIqb/fYFEo6H9gu3wGwzCx2OyQkVkAFNJsu/I3CZAACZBAIwJjFdJECM3lFmJ2NP3fAa49DyxO/fXkeVqkaXL8RQIkQAIkUIvAWIU0EUq9ECZCqR+CTq7rny+HyDnScj68SgIkQAIXRGCsQiqHbg3ohTARSgrpBb3OrCoJkAAJnJ/AWIVUlptCev53hjkOg4D/Hc71VafrvIZRUZaCBIZOQApSsddutgbDcDaiRZptF/6+NALxeq4ZLOf3S6s960sCAyIwViHlHOmAXiIWpRcCtEh7wc5MSSBPYKxC+if2mxclXrnJ9WNzqPrreVLqGTobqTR4TAIk0AOBB+y3n/BRxGvVLabvoUSXm+VYhTSJXmQsNtjnForKod9s1CPZ0okzEoVUMuHfgRKQIbyU0GOGOheTDM+EwaYHEC2lDsnDHWwR09N4CccrCDImrW8lJJkxs+HK259c2DOVz9SHu2UHF9V5ykJa5f2o8751cu9YhRSAjF6ke4fKoh4FHCmknbxOTLQrAskQi2E8h+3+SGcUdzYGTOst7jrcsSGd8am/1HoVhSGL8pD/qIWYztdwD+rns4+Du44CgV/BWn+Fp14+tZhDfb6sExxqmWuVq8b7USvdtm+uK6SKJdh3iEDIj7IrXDvfU9GLwqhHJub2HfSBDymkbb9JTK9jAv69g2sR91L35Sg71JzAdFyoE5MP6/QM87kI+K1a2bqEE8s8H2VFdkxl/+h1aY78nGx33Tsx8qqJ4td7P/qscB0hFTurfE6C1psW7Nt9gVCdp06+d4tVsNOLhfWdF4ipPGdaN9ilPlrVMlFIVRo8HgUB+eWYtdx+wLWfw5i/wXY0lqgALsr9M+b2LbZBGLJjQqoMQ2XncwKLfIb56vYyLFH5vk5aSBu8H5LL2f9WEVJ5jzoFkT0umd7ouk6HPbYbZXs3Y4HlZot9oYiKAlFIu24Wpt86gcTqSgJIR1aaeY3NLh8ps/UitJZgNBQbWFIPUTzPIocGNVPNx0Q0f1r+5aymMaHjyQpp0/ejr7aVIlnhY7CvInaSL4W0E6xMtGMCsuMMLDIfh90NLHOB1fY+NbfRcSlOTz4Qv3k0JyPnwao4CGU/Jh6w21zDHI01LuuqWCJyWFa2reJQlQxhZ57LPhP8fsJhv8VmuQj3uTSTYbpcg4nNpT+9CzduDvLTWB/CQnE+BEOQQTkOOzhB2mbG8n+E5/49ydcwMV9usA02iM7lXO1E4/ejWvLt30Uhpddu+28VU+yMQGKRvdt+wmr+DNbmW8P5leRrMvb2VTrx8nNVRK8IQiSG8fCsLEfFNKXgLN5ie/sG89FZ44/wtm9CxygpiDGq6MOgwKFKbLQ8U+esJAvz/2DjvMcmmmuT81uG+QrO/WOcenBw+IaNNU8csnwPd2sr3MBZpi3Tjd4H86+/4uOn/4uDFNO47cLyzmIHt0d4d29hBXP5TUdJTnw/1NrGQUuUD5eq73gtJyAKKYVUffF4PHAC0iITHUPWMqhbdClgDToZo6Lo6YoUzGf+rHgeJ+Wo9o9RfkyIco/QGg+YyDpk57uVeeCcyIpnXqY3WJaCl/uYkBZsdh/JcD7dvHZwn/JqluVR71fetVxZRCXk8GtWrJXnYsHVvQgF505+P5R0KaQKjC4O6/7bTZeBARnSPPjrjATijXjL1l2esTz1sgo7+GTIUjxd9x+jFImRrZdNgZJiowpXdEO8zCczZyxEc7bC9kFRwFhIM+eRMEqxDu7PpBtkm9yfLMyXZTSQSiOuRyi+umvJO6r5UIif1x208X7o0u36HC3Sah/B6XagkKZ58Ne5CATDclfhHJih6xDPVZBm+QTLGWZZCwaQAbx1nXI6JzkvHFnRWksp/cRgf0kRTFltwsr7BX+Z/xQOtcabLYeiNot/R7WSaeQ46EQwOVc6bB+nldyvbReZd+lQab139PT3o6/WppBSSPt695hvTQLRsJx1g3+777AQHViqE66Z3Nlvl8OHJUPJx+algmE/MS98BzeIEaqx6M5er6YZSh6q1fYHtqu/Yfvj39gsTGXNsLDUXmK5/SOdmRSzWPzkZZ0ISquzqrjp0pDpA9Lq1IpscluNI8njhPejRm7t3kohpZC2+0YxtU4IyGUukTUXD/+pnXAnGbeUqJxPyw5BhslLi1S/eXBUBLnMJZrfkx35uD4mVJxSqJKPAWGRvVxt8RAPzUaiJ9r7+ev0sK5IqpGQJvmppckfy/Lph3bb5d/C+5GvwBnPUEgppGd83ZhVEwJRJ5MKDSiti6qdoi7fZG6ydKhPO3RX09koEMFnSNa/ZsojnULU+LmpW0JrPBUacHQfE6kKhT+kEAYjC6JNX8fORFKohMX3Y7/B8+ywrkhBPl/JIlWEMedspCkblPtL884P1etSKz138vtRkLp8r7TvcInlK+4/NjqSypJCSiFNvRD8MTQCYZi0q9wyF9nRNrfIziWk0prWW6MBb9nhaYVUPp9dTtHGx0TfrS2HM19gs/sXNi9vkh045IeC+Qr2367zw7qi6LWEVLm/0Nv5EfeffsOXwKHpiJDGMVqLvcf9+8+4+ZIZjs4hl+3b9P3IJZickO8VhTRh0upR0odQSFsFy8RaJRDMCZr6udB4x5OBD+/KOpR84ccfBRrLKgxGr7e84yHhUc0Vq2+IFCsTP81/xio1Byo/FAriK4tk6gppEJbxeeSslg3CIGLAOljZXxDGyJJl0w/txstfApHSBGEQa05Xv+SHo9Xqi+OT3o9sYn39pkVKIe3r3WO+5QRiD92CYdRYSIs6uvLkz3LVv8d2FUbaKXZKiYZtgw5Z3dlG9dDVxyCNhbTEgzkOTlBohZ2FRHEmhWJ4zKFHDvmLIUqVm8hKYZrdyCB+rzRDm6kIUUoahR8qSgCJnNVXYY3vSe9HMdLzX6GQUkjP/9Yxx2ME5Fe67JxSHZz4ipfh2mRnOMBdTyqVUbOXahCN509lWzRRx+zwYWg9LYN9TCWDrJiEkMOh8eienMV7rCHOcV0M7/6k36oqGN79STOsK4eEZd2jv4sNdrtN6NEt353gb8ZTV4QIdOwwAlFwXVinf4crNz2Q4p5Ko+iDTYQIdJLdTIIQge/wyQ13ESkkeNL7kYnWVJjJuS40ENLDHrdiU/aSkZpzlT6dzwP2t2tYpv7jNX0vh3bTPPiLBCZPQIhPJjLQ5OvMCp6HQA0hFR8xN8ouK4MRUvFB9F6Jv0whPc+7w1xIYEwEhHWnOvOMqews68AJVBFSaeldwbI3iQXfu5Am+6Oalo3fhJUcjERQSAf+0rF4JHBmAiIw+y9r3Ixqq7kzM2J2JxA4LqT+/gbXy/fx8Hk8v9+3kIoPzOsVbuRQfOx7QSE94YXgoyQwLQK+9z+42XyKO7Bp1Y61GQaB40KaLedghDRfMNgzMedOIc2i4W8SIAESIIHOCFBI6bXb2cvFhEmABEjgEghQSCmkl/Ces44kQAIk0BkBCimFtLOXiwmTAAmQwCUQoJBSSC/hPWcdSYAESKAzAhRSCmlnLxcTJgESIIFLIEAhpZBewnvOOpIACZBAZwQopBTSzl4uJkwCJEACl0CAQkohvYT3nHUkARIggc4ISCHNbCJQErVotAEZCvZ4pZB29nIxYRIgARIggTyBZK9Xo0Rs88+d4Uy880+VyEanlcc47XE+TQIkQAIkcJkEkiDxhggOb1qwb/c4DAGG3NotCFovgut/xv7gd1YyCmlnaJkwCZAACUyRQMHwb2rP1+6twDzZZE/RQNhT5ZFD1TNYzu/5R088QyE9ESAfJwESIAESuGwCFNLLbn/WngRIgARI4EQCFNITAfJxEiABEiCByyZAIb3s9mftSYAESIAETiRAIT0RIB8nARIgARK4bAIU0stuf9aeBEiABEjgRAIU0hMB8nESIAESIIHLJkAhvez2Z+1JgARIgAROJEAhPREgHycBEiABErhsAhTSy25/1p4ESIAESOBEAhTSEwHycRIgARIggcsmQCG97PZn7UmABEiABE4kQCE9ESAfJwESIAESuGwCFNLLbn/WngRIgARI4EQCFNITAfJxEiABEiCByyZAIb3s9mftSYAESIAETiRAIT0RIB8nARIgARK4bAIU0stuf9aeBEiABEjgRAIU0hMB8nESIAESIIHLJkAhvez2Z+1JgARIgAROJEAhPREgHycBEiABErhsAhTSy25/1p4ESIAESOBEAhTSEwHycRIgARIggcsmQCG97PZn7UmABEiABE4kQCE9ESAfJwESIAESuGwCFNLLbn/WngRIgARI4EQCFNITAfJxEiABEiCByyZAIR1d+/s4uGvMDRNz+w6HyuX/Add+DsN4Dtv9Ufkp3qgjcCaWhzvYcxPGfA334OsKwnMkQAIDIFAopL7nwrEtmIYBI/jfAsvN3+F6j8DDF6xvduA/7T5akELaB/V0nhTSNA/+IoHLJqARUh+H3Q0s08R86WAvv4R9D65jwzKFsJpYbHRC+ge+OP/Ew8lM20qnqCBdp1+U7znOT7luLfN7+CecL3+0nCiTIwESuDQCeSGVw0mLDfY5kzMRWZ2Q+vsNni+3JwtpW+kUNWbX6Rfle47zU65bu/z+xH7zEssthbRdrkyNBC6PQEZIfTxsV8FwrlkoiKID+kveIvW/w7m+QvFzFeG2lU5Rdl2nX5TvOc5PuW4t8/PvHVybzyikLXNlciRwiQQyQipE8kU4J1rm4JCdI/XvsV0tgudOEtK20ilqya7TL8r3HOenXLeW+fneLVbCicegkLaMlsmRwEUSyAgpIIYGF5GDkWndYCfnSIvwHL5hY11FDknSMUn8VTupB+y3v8FW75svsdnuE6/TSukAEHO1n95hGXSEIh/hBLVN5nKblvOwx9b5EJQx+Bg47OAsxceBifnqFl4wzO3jsP+CjzknrEz+2bQg6r+Jy2xab3EnnLZS/z3Cc98r96xxu/8P9jfvsH1IxtiFE9gntZwijaPsRNr/gPNRzHGr7aIUQJQ5uC7b8AqW7YTOZcptaFQ3NQF5HLJ0HNGWs3CEIzUPb8C0BINwxj3t/HYFa/01ahOZnuCQrYOY599gG6UByKkJWUflr7nC9uEpaN+E039w2DtRmyyw2t7DRwHLhy2Wgf9ANk0f8HfYLIRwh9cqfWwG77kTvmtB2ZJ3AEEZjr8ryXtBT23lLeEhCbROICekiIYH5T96w7Rg3yqCpy1C2ZDwI+6dVzAN2RGpHf8LbPZ/KimWpSOfmyedqO/hbh16FlcSfRSkn+kEzb/+io+f/i8OUkyj+eJwOFAV1gfsNtcwVeerXFrv4Ny8jwRBetwaMFJz0NH5+QqO7PRl3monmk07NfxeUDelzmGb5oU0tNBminPZI7y7t6FjmXmNzS5yH8vm/9cqdVOaVzlUP9gC5zX7Az5uPkbCLbkKTm+x/edv2Ly/C4UztrwzDm/yvZ2/wTb4SFFEM8VaFOIPbJfPMh97CT/J6a/vfsOnf/03ElMh9v/G/0ZTH/Ke1Byr8j4aRubdDsT0GazNt+TjUeGRPpTli0RZfQfEx4BY/nTsXREJxh9YFNI0X/4igXYJ5IVUpC878XjpiwFjvsSN6xUseUk6odzXtux8M51BOBeb6QyVTj+XDsIlB+a1g3v14zzuFLNp6UCVlFPJ20iVVaYjO7eMEMn6pTprJZ+sVR9bJ2pHG6adq7MQjde/pCxSIBl+T9+v5JkS2Kj8cb6Z8ksBSpVfPKOIfmqYX8mnUt0kP91fyVSzJlZyVT/AZFXkqElcZqVMqbrL9FXWIhF5PsMiSF9eM4rn+4tYiuclz9SIjGD5C6xa636V0aHU+xiWL932Il/duxIB4x8SIIFOCeiFNMjyAfvbdbTcRQ5XFQypKSKU/wceOSGlBDDp+LKWWaGzU9Cx6jq+RFjSaem4JfnmyllWhyCpyLI2X8G5V4Zl4w5f7azL8pEdtVIX2THH1pSu7PJcUt90HcryFB2tHF5U8hWnA1Eq+AiJRUG9XpaPpm6y2Nq/8n41/ejGgvKKq7E1qwhMOFpwhWvnu/KxV5S+PJ9mEeZcdu142YLyyTnY6ANEWPyvV58yH4BRWiV/dPWM27HSu1KSOC+RAAm0RqBESKM8xLzTZol5bJ1qrIejIqSUN5hjU+Y4Y6tC3FPUSSfn4yHnuDxS5A3oLUkl78L0y/JWn1ePxbyng00wjyrKcIKQKlZmMJTuuPn5vzjrNoVUpqURsiA/eV0dik7aIi3k4oEKIhTXQ71fk39NIU0lK6zp/Rc48XubTb+snGXXolxKyhbekVjzpvUGf1va0XBzupTHfmmFtNa7ciwHXicBEmiDwHEhDXIRHZN0uhCikf3yL+tco2LGgiycg25x5yzDqEmVhFR26DoLog6GsnKWXVPzkI5DYk5xg+3dx8jJ5BQhVeezog8DMTetFVTJIjv0eKT8us4/PpcVGlnfJM3kIyU5NzwhFe/pNvy4CZzZ/gdOMBearV+ZWJZdi7jE3MreRznPm81bsj3+Vy+kdd6V43nwDhIggdMJZIRUdJLvcJNyAJKZJF/ZoVVYVTik04caKSnpjNPDscn5dCctxaN5pxTWoih9cbXsWsRAOm+ojh5tDO1KxBnvXsE570QlWZxZSOMPnjJOFUQorqs4kPdr2rVErPQCI4VrgaWzixx6itKX53VCWHYtKnxJ2ZLqifL8FYv5rHF8Y309ZQ7yg07xBs7OWctb+ZcESKBTAhoh/RtWZdFe6s6bSaEpcFipJqRK552aa63LRkkn5ZQi0im7Jq7LDjbjASnrd9LQbrYe6vx0VmRaFNK4TllRluXRMdGdk/dLRjqBkveof+X92TqK5tDP6Yqn8wIjy5SddihKX57XlbPsWlT2krKFdzzC29pYCg9dGSks9f6rDIqP8/XU3Vv2ruju5zkSIIG2CWiEdIVZTmTUbHUdjezIsh3y8fPVhBRALFjKMhq1WHjE/aff8EVZc5m6HPwoKo+4WHZNyV9xcAmSjMtV1ULX8dPFx1VGAGJrUOTYppAmdU6GboNaRf8nr6uCI89l21o8oqubml72WN5/qpDKdNRyquXJpl90v/pMNi2l7EeE1L//hNVrZe1xsFuPgbzHuZKm5lAvpHXeFU2iPEUCJNA6Aa2QptZ8ZrPUfmEXda7Hz1cW0mj5SzisnA3CEM7hruwvR+L8FpVHVLLsWvdCul1a+e3NIpHWD3NnhexI+Ys6/3iEITvvLZiEgpMWgLJ8ygQq+yIl6Ws3QSgqr9YiLcpXnj+jkIp/H9YvmW3P5G4xOsY6LuG5IiGt/q4Up80rJEAC7REoENLQociyf0tHhZGOHOoifVkWaZkFQ1hPOOz+AedfPxAuSxAetXJhvxiK+hV/u/45cTZ6useXT/8KRbAgnSAbOUep89ituhygMH3Z2akeqrJyovcOl/EIR6twUb0Q789Y/+0V/hJEtBEW6QO8L5/hPvw32vtTrL/N7CUpP0RS+4lGHX4q+MUD9s4K8+xym7gcmrQL6yaWGYrYsqJds8OfIliUDJmnzC/K4AI5rgqnSnVTGGYPYxZ5ay0pb1Z8xLDpm8iLXA6zy6AfypzyYY/b9Rtc/0VE3QqF9Mn7ik/uf5WPJsniATvn7/iXiOIVlykrvknhk7LJ56Nr0fuZ/vAQ15KPDxGJK4yQlKSnP0rqlN5Dtsa7IusS/9vT58SzJEACpxHQCGnkbBQsUwlD5iVLTrKWoJp51PELkUsJghIlJ3CeicK+yX/kIsTfTRS1JkiuKJ0or0wYuTBEYLRPqlqcwmNN+lKAMgKdtgSF4HzFWoY5jOsohUU4U72Hu/tHPlRc0JH/CzsZx1jNJxgq/k+w/dwPEf5PWbKRDm+nzA2qz6cW/mvqpgwFJ+2oWSoUe1VHXsO60ItaTkJwyuqWip4hGzHeHCFVpmCe+fco6pAsR/RXcPr9VsM2ssyl8AdsRHjDz9gfnqJN0DUBRZSgI2Eowv8tKJM6xJsMq6fKLcr2v/9OhQFMRlr0z2TfrdTrGlvjaQbhM+HQ7rF3JUhP/hujkKbw8gcJtE0gI6RtJ8/0SIAESIAESGDaBCik025f1o4ESIAESKBjAhTSjgEzeRIgARIggWkToJBOu31ZOxIgARIggY4JUEg7BszkSYAESIAEpk2AQjrt9mXtSIAESIAEOiZAIe0YMJMnARIgARKYNgEK6bTbl7UjARIgARLomACFtGPATJ4ESIAESGDaBCik025f1o4ESIAESKBjAhTSjgEzeRIgARIggWkToJBOu31ZOxIgARIggY4JUEg7BszkSYAESIAEpk2AQjrt9mXtSIAESIAEOiZAIe0YMJMnARIgARKYNgEK6bTbl7UjARIgARLomACFtGPATJ4ESIAESGDaBCik025f1o4ESIAESKBjAhTSjgEzeRIgARIggWkToJBOu31ZOxIgARIggY4JUEg7BszkSYAESIAEpk2AQjrt9mXtSIAESIAEOiZAIe0YMJMnARIgARKYNgEK6bTbl7UjARIgARLomACFtGPATJ4ESIAESGDaBCik025f1o4ESIAESKBjAhTSjgEzeRIgARIggWkToJBOu31ZOxIgARIggY4JUEg7BszkSYAESIAEpk2AQjrt9mXtSIAESIAEOiZAIe0YMJMnARIgARKYNgEKae/t6+Nhu4K52GDv914YFoAESIAESKAmAQppTWCt3364gz2fYbHZgTraOl0mSAIkQAKdE6CQdo64KIM/sd+8gGEY6f+ZK2wfKKlF1HieBEiABIZGgELac4v4+w0Wxgts9n/2XJIa2fseXMeGZcqPgCtYtgPXe6yRCG8lARIggWkQoJDm2vEJnvMybSUGVuNLON5T7u7TTkRW6ZisUP8e29UCxnwFZ/8AwMdh72A5N2GYr+Dcl4lpEds5bPdwGko+TQIkQAI9EaCQ5sAnnf3MdtG2dKaz+wPb5TOYyy2EJA3/v0fcO69gGs+w3P6hFDdymDIMmNcO7iuPTP8Ox5rBMCikCkwekgAJjIwAhTTXYGcUUn+HzWJEjkZBeYXlqZnHfdhiGQz11hmmppDmXj+eIAESGB0BCmmuyc4npOH8aNa6yxVoMCfC8howLAderlShdW0YZg0PZAppDiNPkAAJjI4AhTTXZC0IqXDG+fQunDcM5ldNzJfvM844cji0jgWXK+wZTyRc9EPRB7j2PJhb1l/XFZVCqqPCcyRAAuMiQCHNtVciGPXnSBPHG9Na4zZwxpHzikZmLlQK6XPY7g/A93C3fo21OB7kf4lQ6rkk3PQWq65SFFIdFZ4jARIYFwEKaa69EkHQC0bugfiEf+/gWswTztdwD4rHjefAEpZpdkj08A0b6yr0EJ4vsdnuMVzfVTl0a0DPJeGWq2dMKHtAIc0S4W8SIIHxEaCQ5tosEQS9YOQeCE/43+FcC1GMLEz1tiIhVe8Z/LEUPQrp4JuKBSQBEjgrAQppDncTIfVxcNeYC6szFzP3B1z7OYzckpFcxgM/QYt04A3E4pEACfREgEKaA99ESKXIKB6rgcPRR2yWCxjGAktnN+Bh2xwEzQnOkWqg8BQJkAAJoIKQCgeaz7BXH2rtTuLvP2Blf8ZenSscBfAGQirXVwYeumrYvA9wnC8jZKBrqCQ2sN4rN7lefUhcDhczIIOOOM+RAAmMg8ARIX3A3llhYb3FXe04qo/wtm8wj0PJjQMI0EBIn1zYM0MfqGAs1T5aTullrBu+Fg9Lq7zOulgK6VHsvIEESGDwBEqE9AG7zUssVrfwFAfUejWK5g7Na2x24wiCd5KQzmy43cYUrIe/7btl9CJdZCNpleuuFZaDQlqIhhdIgARGQ6BASCMBzC7jaFStaB3l/A22ta3aRhme+FADi7RURIRlbmO5+TbyOVKBVVqdV7h2vqf2Tw2jHpmY23c16kkhPfFl5eMkQAIDIKAX0mCz6We5zrJxeQOhmdXsZBvnduKDDYRU7IASeO1ewVp/jS1433Ph2BZmjYbGT6xGR4/73i1WwU4vFtZ3XiCm8pxp3WBXa06cQtpRMzFZEiCBMxLQCGlkQdYaojtWYumIMoZweE2EVNT/EZ77XgkLaMC0bHwcdJCFY+1WcP2wx3azDJf7BA5WCyw32wZOVRTSAsI8TQIkMCICeSGNhin1nplRzURH+lHd2FnEkt1gG4TE09deBjwvTVf/6JnPNhXSMxdzEtlRSCfRjKwECVw4gZyQyrmuxWaXmgOLOckIPvGcp4/D7gaWCI2XC0YQPwWUOaoot/V/SCE9XxtQSM/HmjmRAAl0RSAjpHIItmgJQ7IEIm1ZSn94A1sAACAASURBVCeUkqFb6ZBjlNzTVS1rpUshrYXrpJsppCfh48MkQAKDIJARUimIRUIKhIHZs16b8jklsk+2erGQltyTfaaX3xTS82GnkJ6PNXMiARLoikBaSGOxq2o1iqhHX+DEjidlIllBbLuqZa10KaS1cJ10M4X0JHx8mARIYBAEGgqpENBtGEc22P7rf+Asn8Ewqghpdl/OQXBQCkEhVWB0fEgh7RgwkycBEjgDgQZCKiIeXcNMBWKvYm1WuecMNT6aBYX0KKLWbqCQtoaSCZEACfRGIC2kceSaojlS6WyUjWBTQSTjYeMyq7U3DkrGFFIFRseHFNKOATN5EiCBMxDICOkxr10pmFmhledLRDIW0uyzZ6hlrSwopLVwnXQzhfQkfHyYBEhgEAQyQgqUryOVgpkVQ3m+REi5jrRGg0eWf9m63Bqpnf3WoK2rOKxRSM/eNsyQBEigdQI5IYW0HLWdeBQ+0BDh76K4qoc9btdvcP2Xq9jZ6Mn7ik/uf1OFZWSjFI7yH0Gs4xkKg2KUP93z1R9w7eflwTniElJIYxQ8IAESGC2BvJDiSKxd38Pd2oIZxFi9ghVs3v0UBW03YMyXuHHDYOYJFTlkXMVKSZ7q56jPoV3JSW4OHv1tNe5xd1Tlx5KR2uA8O3qh5k8hVWnwmARIYJwENEIKoJPdX0ykoyENFVifQhoyCQVpDB8dmjYMRjSqWtMUUg1BniIBEhgZAb2Qym3BzFdw7h9PrNIF7Ed6IqH045FVOhIrNF12OcdeZoWqT1BIVRo8JgESGCeBAiEVlQkFcCbnQhvVLwpoP7vGZvfQKIXzP1THIo2crGY23Ke2ShqmOQ7rPVvnyEmq8kcAhTRLkL9JgATGR6BESEVlHrB3VpjPV3BKtkjTV/sR3t1bWKMSUVGT6kIaxh1uOVJTraFRPfn+zkbWtNZRTVcqCqmOCs+RAAmMi8ARIRWVEeEAP8NefcDer145f/8BK9uB6506NFw9z3burCikhx2c5SL2VK6BprSY4fxo1aHR0qTOfzHy+K5uTVNIz99IzJEESKBtAhWEtO0sh57eMSGVnX/Gs1Z6qhYNa/oe3E/vsJybCL1axWbo7zMfGjJy1NAcjR7huX8PYyvLeuq8s4P1oyVriXNNL1nOYbuH3FWeIAESIIExEKCQ5lrpmJBGD8j1tkXCGacrLHonEFDTWuM2GCJX1uMut0hmj6WQPoft/gCCpUavsRbHff0nLW/Tgn27h5A7OaRtZOseCencvsMBYmj/VyzX4rjoPwppERmeJwESGA8BCmmurSoKqefAEtbZkfnAWHTma7gHZQBYPm858NQyHL5hY4ngFuGa3M02FC/1lrMd+9/hXIuyRMIeZywF8CUcT/WykhsaCGt9geVmi71a5/h5eSDToUUqifAvCZDA+AhQSHNtVkVIpeVoYGa7UKUklVyhEAEoEtJUAn3+kFZzdoMCUSYpgFkhrVtemQ6FtC453k8CJDAcAhTSXFtUEVIZgajMKchPoj3lrNYojJ5R9nyuYOc9EQTlEPO52fnapF7VnYqKik4hLSLD8yRAAuMhQCHNtVUVIZUCkBUZNTFNIP/A4ehj5LSzwNLZlcwfqmmd+zixuJOha+Fw9A84myXmhnCUco4M21Yps+RIi7QKLd5DAiQwTAIU0ly7VBBSuZNNWSAG6YwkvVyDvyI28Qc4zpcWRChX8BZPSIs77ZlsWjY+Op+wrb2muKhoFNIiMjxPAiQwHgIU0lxbJUKaDr6ezAfGwdmzjkJqWk8u7JmBnGeres9gjw9w7TmM1oeei9jSIh3sq8CCkQAJHCVAIT2KKHtDIgaljkZSSMus1mzSg/kthZQCN5gmYUFIgAQGS4BCWrtpCoT08A039m/YyeUecmg3u9YyyO8R3tbGcvNtoHOkcmhX7wzle7d4vXyf1LU2Qz5AAiRAAtMhQCFt0JZPro2Z2Nz82sG9L+ImfMXaeoHV9h7JSlHp3XoFa/0VXnTB91w4toWZ9RZ3Qw6fGHntmmo5hbOUY8OaWVjfZfecbQCSj5AACZDABAhQSJs0Ympzc+HBuilwwBGeru+VsIAGAoedPoMs1Kiv793hJognLDcYt2B/HLqjVI0K8lYSIAESaIEAhbQFiEyCBEiABEjgcglQSC+37VlzEiABEiCBFghQSFuAyCRIgARIgAQulwCF9HLbnjUnARIgARJogQCFtAWITIIESIAESOByCVBIL7ftWXMSIAESIIEWCFBIW4DIJEiABEiABC6XAIX0ctueNScBEiABEmiBAIW0BYhMggRIgARI4HIJUEgvt+1ZcxIgARIggRYIUEhbgMgkSIAESIAELpcAhfRy2541JwESIAESaIEAhbQFiEyCBEiABEjgcglQSC+37VlzEiABEiCBFghQSFuAyCRIgARIgAQulwCF9HLbnjUnARIgARJogQCFtAWITIIESIAESOByCVBIL7ftWXMSIAESIIEWCFBIW4DIJEiABEiABC6XAIX0ctueNScBEiABEmiBAIW0BYhMggRIgARI4HIJUEgvt+1ZcxIgARIggRYIUEhbgMgkSIAESIAELpcAhfRy2541JwESIAESaIEAhbQFiEyCBEiABEjgcglQSC+37VlzEiABEiCBFghQSFuAeP4k/sB2+RMWmx3882fOHEmABEiABBQCFFIFxjgOfRzcNebGC2z2f46jyCwlCZAACUyYAIV0TI3r77BZmDAMI/U/c7nFw5jqwbKSAAmQwIQIUEhH15h/Yr95AWOxwX4S47qP8FwHtnUVfxyYlg3H9ThsPbp3kwUmgcskQCHNtfsTPOdl3Kkn1t9LON5T7u6zn4is0mlYoY/wtm8wNxZYOjscBMzDDs5yAcO4wrXzvaGY/g7HmuXbcGbDHUATnv2dYYYkQAKdEqCQ5vAmQjqzXXTX7/p42K5gZoZpE+FWh2/NxLHoYYul+QzL7R+5ko/thH/v4No0kPsoCOpowDBfwbl/PL1angNLcKaQns6SKZAACeQIUEhzSM4lpLmMK53w9xssJuFoFA1RG7qPAuGV/AyGoXxAVKJTcBOFtAAMT5MACbRBgEKaozhkIY3Ex1xh+zDyCdLYcUo3ZK5Y623MBVNIc285T5AACbRHgEKaY9mCkPoe3E/vsJxLD1sT8+V7uN6pw5SRpdaGuOTqfeYTUtwKPgqeXBszMRxbcL1WaWVeHNqthY03kwAJVCNAIc1xOkVIfRz2TiCgprXG7V4sSnnEvfMqmAvNzQXm8j52IhLS+RruwYfvfcV6+WtwfOzJoV2PhbJI3KT4GTqLtWZtZFpFedVMjreTAAmQgEqAQqrSCI6bC6l0njEioYuTlh255cCLTzY58HHY3cAyhSOSsHI32AZi3SStPp9Rhm6LxE0yo5D22VDMmwRIoAIBCmkOUkMh9b/DuRZrIZ/Ddn+kU5WicLKQppMd76+EcaEnrWRGIR1vM7PkJHAhBCikuYZOOvnqy19k2D5DEyjhB1z7OQytd2ou8ws5QYv0Qhqa1SSBiyBAIc01cxMh1SzXCByOPmITBBdQAg7k8rvME5wjvcx2Z61JYIoEKgipcKD5DHv1AXv/AfvtJzibZbWg6f4ON6tfIqebseBrIKTxUg41iMIVLPsDHOcL9oeRL1XpoOnC9bDFXrnx9aI51DplksPEbaRVJ1/eSwIkcBEEjgjpA/bOCgvrLe68hzDGaxyJp9ruI753i9X8eRICbvBYGwjpkwt7ViwKg69yHwWU0Yu0wSWSod/TPZ0BUEj7aGHmSQIXQ6BESB+w27zEYnULTzWoSjvAAm6HO9jzZ7A238J4qgW3DeP0CUJKi6dGE8rhcF1ko7KoRzWykLdSSCUJ/iUBEuiAQIGQRs4z2WUcogBNhBRAuDRkgdX2vmEg8g5qr02ygZDKoV1t8AARmN3GchQfEVogHZ1UrM5rB/fqx5rkqXv/mpSGQtqEGp8hARKoSEAvpJEFqd19o6GQApGV0VbnWLGC9W9rIKSQXrtXsNZfYwve91w4toVZMDR+alSj+jUZ/BP+PbarcKeXmJs8Z15js2tpl1UK6eBfBRaQBMZMQCOkUSQerXXV3CIVkEIHkpYCkXdGvYmQisKIfTXfK2EBDYh9NT9u9yMYzu4MZoWEhQPbRuHWQaAJCmmFduAtJEACTQnkhTQaVit08khZpP9Jd4KmBfu2RDjkkF2RSDetRavPNRXSVgvBxNokQCFtkybTIgESyBDICelRqzEW0jmspY0b1wvmPH3vDjfBmkkTc/uuwAorczDJlKy3nxTS3tB3lTGFtCuyTJcESABARkgreEvGQqpZ/hLMrYodTzRh8gLcMv0hD+9SSCf3L4NCOrkmZYVIYEgEMkJawWIsE1LpUGQY0A8NSyHVhdIbChYK6VBaorVyUEhbQ8mESIAE8gTSQirnMLWL5KOHS4VUOhQVCWWy5MEY7J6aFNL8azLyMxTSkTcgi08CwybQnZBqHYoUIdVeHwIsCukQWqHVMlBIW8XJxEiABNIEuhNSrcWpCKn2erpw/fyikPbDvcNcKaQdwmXSJEACaSHFqXOkiVByjpQv12AIUEgH0xQsCAlMkUBGSKUzkC7+aVT90jnSY8/L60XOSENATIt0CK3QahkopK3iZGIkQAJpAhkhlc5CJctTyoQ0Wv5iZmOnxnlWsHjje/s6GKuQCrY/YbHZDTyWcVvtGo1+VJkioJC2BZ3pkAAJaAjkhBTSc7eog5KxUMV2avNlHJABh2/YWFcwrRvsivbflGkP1tFIEBqjkMpYv5q1vZpGn8Sp4KNtVu3DgUI6iSZnJUhgqATyQoojsXaDmoi4sn/HJohkFG1mPV9icySu7NGoSYOgNDIhlR8n8T6xYXvo56gHAfjEQiTTA4Za57KPMwrpicz5OAmQQBkBjZACKNv9pSy10mtRB1jW4ZU+f66LIxPSAEvEtmgU4VzozphP+FFW0QKnkJ6xZZgVCVweAb2Qym3BzFdw7tvZ/mvS+5H2/d5EVul0rdAs4JofZRTSLED+JgESaJFAgZCKHMIh3lnZnGfVggTzp3NYo9jcuo5FGjlPzWy4T1VhlN2XLB9KDVuqQ5jxseIQFjiAlXhal2XZ97XYeS2aIojrp/kdW9wh98ofDhTSvluZ+ZPApAmUCKmo9wP2zgrz+QrOvtkmy773FWtrLCIq6lxdSEMru/+lPLWGOafwOgcWeEVHI1FfCukUWp11IIHBEjgipKLcPg77z7BXH7D3a9bD3+FmtYYTbbVW8+mebq8opIcdnGjbuH6XnNQc5uyJapvZhh8ONSxwCmmb+JkWCZBAhkAFIc08Mfmfx4T0dzjWDIVDr0XOVL4H99M7LOdimzkxbGlivnwP1zt1DjoaXo6HPYfSQHrPbrl/bfNSyuHvio5GIiMKaXPcfJIESOAoAQppDtExIY0ekMtOioQzTldY9E4goKa1xm0wRB4tMSrcbi5+uMJBJKTzNdyDj2AofflrcFzh4W5ukda6acG+3QebvMthcOMor2NFkkIa7Xnre7hbv8ba/VH8IIW0mA2vkAAJnEyAQppDWFFIZed8xBKMBSQSujg7+bzlwItPNjnwcdjdwDKllbvBtuF8dpPcc8/43+FcX2k2d5eW/Es43omeWVHwj8Cyr7B+mRZprpV4ggRIoEUCFNIczCpCKq0iAzPbRaEsFIqKMtx4spDmKtDjCWlpm5jbd4ElmhSmRSFNEq12JD9aWvOurpYt7yIBErgMAhTSXDtXEdLIwccoc3iRYft0m5z/gGs/h1H6fK5gwz8RxVo2chvDJywqL1lps7YU0jZpMi0SIIEMAQppBki15S/SuipzeInmLg1lvWfgcPQxCq24wNLZZay2XGFGdCKx0o14uFs4HP0DzmaJeeBc5WBfFIe5y5pSSLuky7RJ4OIJUEhzr0AFi1QGESgbKpTOSKkAA1ew7A9wnC/9CEqurm2ekFZ6OpCCadn46Hzqd96WQtpmQzMtEiCBDAEKaQaIapGml7gkTjLhOkYDRtn85pMLe2bgdC/VXAEHeuIA154PZLhajhikRd0o+/AZKFUWiwRIYPgEKKS126iCxSrSlEJ6MZ23FNI5bPdQmyofIAESIIGxEqCQ1m65AiE9fMON/VuyF6sc2tWum3yEt7WxHEXs4aqA5NCu3gHL927xevk+4VM1Wd5HAiRAAgMnQCFt0EBPro2ZCKZw7eDeRxgEwXqB1fYeSRRF6al6BWv9FV50wfdcOLaFmfUWdydHNWpQ+C4fibx2TbVuwsHKsWHNLKzvPIVPlwVh2iRAAiRwPgIU0iasg2g6Fsw41F9REAThtfpeCQtoIHC+ObIBepMiDeUZ37vDjbrhu4hu9HGKzlVDIc5ykAAJ9E2AQtp3CzB/EiABEiCBUROgkI66+Vh4EiABEiCBvglQSPtuAeZPAiRAAiQwagIU0lE3HwtPAiRAAiTQNwEKad8twPxJgARIgARGTYBCOurmY+FJgARIgAT6JkAh7bsFmD8JkAAJkMCoCVBIR918LDwJkAAJkEDfBCikfbcA8ycBEiABEhg1AQrpqJuPhScBEiABEuibAIW07xZg/iRAAiRAAqMmQCEddfOx8CRAAiRAAn0ToJD23QLMnwRIgARIYNQEKKSjbj4WngRIgARIoG8CFNK+W4D5kwAJkAAJjJoAhXTUzcfCkwAJkAAJ9E2AQtp3CzB/EiABEiCBUROgkI66+Vh4EiABEiCBvglQSPtuAeZPAiRAAiQwagIU0lE3HwtPAiRAAiTQNwEKad8twPxJgARIgARGTYBCOurmY+FJgARIgAT6JkAh7bsFmD8JkAAJkMCoCVBIR918LDwJkAAJkEDfBCikfbcA8ycBEiABEhg1AQppr83n47D/AmezxNwwYIj/mRbs2z0OvZaLmZMACZAACVQlQCGtSqr1+3w8bFcwjStY66/wfAD+PbarBQzjOWz3Rz7Hhy2W5gts9n/mr/EMCZAACZBALwQopL1gF5lGQrrYYC9ENPrP32+wMAyYyy0e5Mng7w+49nMYmftTt/AHCZAACZDA2QlQSM+O/EiGgdWZFlIprsHQrxwCNp5huf3jSGK8TAIkQAIk0DUBCmnXhGumH4qmZmjX32GzmGGx2UExYGumPoTbH+G5DmzrKpwTFta3ZcNxvZHXawhsWQYSIIE+CFBIc9Sf4Dkv404+sQJfwvGecne3esL/Duf6Gear23DOVEk8FNixW6GP8LZvMDcWWDq70KHqsIOzFPPCV7h2vtcXU8+BFVvpkcOWYWBmu+i4tZTW4SEJkMAlE6CQ5lo/EdLzdsYP2G2uMbNusDtkbc5oPtVcYfuQvZarwGBP+PcOrs30sHVQ2Gg42zBfwbl/PKH8fbXdCUXmoyRAAqMnQCHNNWEfnXFkqc3XcHMiKgr4J/abFyN3NIrqoJ3b/QPb5TMYhnni0HUfbZd7gXiCBEjgwghQSHMNfu7O2MfBXWM+f4OtV2CNBfOjpsaTN1f44Z6I6mAYuiFyuRTIOPFj4dxtN1zcLBkJkMD5CFBIc6xb6Ix9D+6nd1jOzWiu1cR8+R6uRih97xarxUtsdspiFzHU+VxZFhMMfZ5qreUqet4Tci6zYHj6ybUxCwJSnDJ83ULbnZcKcyMBEpgAAQpprhFP6YxFpCInEFDTWuN2L8TxEffOK5jataFiSHORcbKJLFR1vWgkpHP7Dgc8wrv7Fcu1OB7Pf7FQzmy4Oi8gKbRai7VqPU9pu6p58D4SIAESSBOgkKZ5AGjeGUtnGiM71ylFwnLgKfnp14eGnqfpgAyhI5IQY0N4vG622GvnUpXEB3WoDN1SSAfVMiwMCZDA6QQopDmGDYU0WLoi1kZq1oAWCGku68meSJgaFNLJtjIrRgKXSoBCmmv5pNOvvvwlGo4VFqM6JBukHYX203qr5jKf6AlapBNtWFaLBEgAAIU09xo0EVLN8o3A4egjNkGwASUAQS6/yzjBOdLLaGfWkgQukUAFIRUONJ9hrz6kgqsfg+XvP2Blfx7ZXJ6oVQMhjZd2JJF1RKQey/4Ax/kyQgbHWrf+9Xg+uMBrN75eNPRbKcsGbVcpXd5EAiRAAsUEjgjpA/bOCgvrLe40SzeKkxVXZJCBFZzAe7X87uFcbdAZP7mwZ2Iv0VOWbgyHQCclkdGLDN02cMnQb9rJqm5JGrRd3Sx4PwmQAAlkCJQIqfAUfYmFJu5rJo2Sn9HcoXmdXidZ8kT/lxp0xlJIT7Km+q95tyWQw9+6eMFlUY/qlKpB29VJnveSAAmQgIZAgZDKaDtFIes0KRWeitZRlkXuKXy2jwsNOmM5tKu1SIVlbmO5+TaqdZ/tk1eszmsH92rIYMkvu2yodiEatF3tPPgACZAACaQJ6IX0cAd7/iwTKCD9YK1fQUc5QxhQoNaTPdzcpDOWXrtXsNZf451bfM+FY1uYNRoa76HqXWfp32O7Cnd6iTnJc62MWjRpu64rzfRJgASmTkAjpJEFqbWumuKQQ3e6+bGmaXb1XNPOWOyz+V4JCxjus/lxu79wSzTbTg/YbzcKJxE+cYNtK/PoTdsuW0b+JgESIIHqBPJCGg2zHXX6OOyx3Swxl3tBmhZsx42tsWwRpFfm0XSzD579NzvjsyNvLUO2XWsomRAJkEBlAjkhDQWvPEB6EGh9/kwZxpRBB8zi4VvptdmqpVu5njVuZGdcA9bAbmXbDaxBWBwSuAgCGSGVQ7A6z8qIR4HFKi1OQ7u8AYB0KCm6Phjc7IwH0xS1C8K2q42MD5AACZxMICOkZUsURF7S81IjtNJppMjzMhbScmv35BqdnAA745MR9pYA26439MyYBC6YQFpIY7ErcgqSQlt0vYykfJZCWkaJ104hQCE9hR6fJQESaEagnpAeFdqyQkghNTBshyN2xmWtOOxrbLthtw9LRwLTJNBQSDVDu0f5SCGlRXoUFW9oSIBC2hAcHyMBEjiBQFpIIcWuSCjl9RIx9H/Hly//D2rgmqB8sTVb8uwJFWnvUXbG7bE8d0psu3MTZ34kQAK5bdSOee1KZyMRoP0VnPvHHEN//xvW2z9y5xOv3SKRzj/Sz5m+O2Ox284XONk1urdTC+wgAjM40TZz4a45prXG7UmBGfpuu37eWOZKAiTQL4GMRQocXUcahA80YYhADPP0zi6+9xXr5a9wDzl7FOA60gotLT9UlFCD0hvaeA7b/ZFJI7o/t5l45rbB/YxGNkwL6zsvGL0I1yabMLRe3+L+n7DY7PIjHam6UUhTOPiDBEjgLARyQhpbjoWds4/D7gaWqe69KY91nX1YD7nOdNiORqKsfXbGemEsZBd81MwqCMxZ3qUameiEsWg0RMYxruIp3mfb1ag+byUBEpgUgbyQokqsXTH8uFWG5Y7FS5WdZJXOsG++A+yMI2s++QiRPOUHTPR38FGjytpWWuPK0H88r56uZ8Ihm94A2y5bRP4mARKYHAGNkALoZPcXc+DLXmTbDq8zDi3SvLUfnh/Dx4lkW/Y3+jjIDe1G5wtHSNQ0h9d2aul4TAIkME0CeiGF3JBb71BUD8UF7EdaD0i9u/3vcK6fYZ7bYD0SmFFboQkK/97BtbnAanufngeNrNJiKzRJo99hebUcPCYBErgkAgVCKhCEAjizbrDTOQ9VohTNp86usdk9VHqi/5vqWDWR08zMhvvURckfsNtcQ98GYd7VBKaLsrWY5uEbNtYclm7z82BYWxnuLc22TtuVJsSLJEACJFCZQImQijQesHdWmGe8c6ul/gjv7i2sUYmoqFn1zji0orqK1PQIb/sG89xQZ0Q/sNTG6GiUeXsCr+TnhbsG1Ru+rt52mVLwJwmQAAk0JnBESEW6wrHoM+zVB+w1q1qKcvb3H7CyHbhefq1p0TPDOF+xMz7s4CwXMIwuAkxEQ+vzN9gW8AsFpqqlNgyy+VKI7fd+1gxbyzvrDl9XbDuZPP+SAAmQQAsEKghpC7mMKoljnfHvcKxZuI5Wbmqu/i2as/Q9uJ/eYTmP1uAawtP5vfZDI1hTuXiZHg4XQ5zPN9HHjPRwHZ6jke+5+KQGkzAWWN7caTZ8Dy3uRWrqQNTrNZ7H60WjofNKjkbiJTvWdqN6EVlYEiCBkRCgkOYaqmJnLJdmFAlnnK6w6J1AQJPIPZEDlqEbFhbiscC1811xuoks1FhQpJBGnry+h7v1a6xzARviQpzhIJoGMK5g2Z+xF/PqgaPUFQxDYzmLD4NZ1pkttFCTwAuRkEbD26UBP4IaVmy7M9BgFiRAApdDgEKaa+uKnbHnwBKWaCxuuYSCE3IeNRexRz5vOfCUR8Mh2/S6ySCKVFZ0AwcdIVIiwtQSm22fIQTlh4GZmeuULGewnN+VWkZDtqolHx+roqsG/zi2VlkkL/MzMLNddOL/pdSChyRAAiQgCFBIc+9Blc5YWoRHOuzYIsuvAUWBkOaKM4IThR8LsbBlhbSrSlVpu67yZrokQAKXSoBCmmv5Kp2xtKhU6ymbkAxtp7NaxRDmc/2QZzaZwf+WddE4Xcm4zEeHv9uqZJW2aysvpkMCJEACIQEKae5NqNIZS4ejMmefaH5P9eoNHI4+RqEVF1g6Oxxy+Y/sRBS+0DASFoHDkRM5VjVaOtWUQZW2a5o2nyMBEiABPQEKaY5Lhc5YikdZIAbpjBTP/Yl5T+GI8wGO8yV0xsnlPb4T2jld04L90YFz9nnbCm03PsQsMQmQwMAJUEhzDZR0xtLJJ/z7Eo4Xuq/E4pFxFEol9eTCnol9W1fYPtRYgJtKZPg/nlwbs6wj1DmLLeeaUx8sR+auz1k+5kUCJDB5AhTS2k2cCG2pZ6gU0jKrtXbew3tACmkpi+EVmyUiARIggdYIUEhroywQ0sM33Ni/JXGJ5dCu1iIVwQhsLHWxZWuXp98HpHWujfkrwv+9fp0OLNFvcZk7CZAACbROgELaAKm0wsxrB/ci7oD3Wp5UkAAAD7tJREFUFWvrRWbnEum1ewVr/TWO7CMccRzbwsx6i7uC8H8NitTjI5HXrmlhfedFQSQe4bkObBGIXql7j4Vk1iRAAiTQGQEKaRO0QSQhC2YwL1cWKEAIynslLKAB07Lx8exOOE0qWeMZ4Y18s8Q8nqcUTlW/Ybsfy44/NerKW0mABEggQ4BCmgHCnyRAAiRAAiRQhwCFtA4t3ksCJEACJEACGQIU0gwQ/iQBEiABEiCBOgQopHVo8V4SIAESIAESyBCgkGaA8CcJkAAJkAAJ1CFAIa1Di/eSAAmQAAmQQIYAhTQDhD9JgARIgARIoA4BCmkdWryXBEiABEiABDIEKKQZIPxJAiRAAiRAAnUIUEjr0OK9JEACJEACJJAhQCHNAOFPEiABEiABEqhDgEJahxbvJQESIAESIIEMAQppBgh/kgAJkAAJkEAdAhTSOrR4LwmQAAmQAAlkCFBIM0D4kwRIgARIgATqEKCQ1qHFe0mABEiABEggQ4BCmgHCnyRAAiRAAiRQhwCFtA4t3ksCJEACJEACGQIU0gwQ/iQBEiABEiCBOgQopHVo8V4SIAESIAESyBCgkGaA8CcJkAAJkAAJ1CFAIa1Di/eSAAmQAAmQQIYAhTQDhD9JgARIgARIoA4BCmkdWryXBEiABEiABDIEKKQZIPxJAiRAAiRAAnUIUEjr0BrEvQ/Ybx1slgsYhhH8z7TWuN0/DKJ0LAQJkAAJXBoBCumoWvwPbJfPYJgW1ncefAC+d4vV3IQxX8M9iDPqfz4etiuYiw322UvqbTwmARIgARJoTIBC2hhdHw8KIf0Ji80uENGwBH9iv3kBw3iG5faPdKEOd7Dns8z96Vv4iwRIgARI4DQCFNLT+A3g6cjqTAmpFNdw6FcOARvmCtsHmqYDaDQWgQRIYEIEKKSjb8xINDVDu/5+g4XxApv9n6OvZVEFfM+FY1swo/liMextOy48fi8UIeN5EiCBlglQSHNAn+A5L2NHntiaM17C8Z5yd/d9wr93cG0usNreK8O9olSRwE7YCg3nh2eYLx3sg/nhB+ydFeaGAfPawX1rYlr0Tsxhu4e+XwHmTwIk0DMBCmmuAZJOc2a76E465ZBsZvhVWlapv6Z+nvPwDRtrDmvzDfnuPHRMMpdbTNKf1/8O5/oK+eHqyCHLuMK18z3zcZFr7IYnfodjzWAYFNKGAPkYCUyKAIU015znEtJcxvVO+PfYrp5jbt9pRFS48+6wWUzX0SgctjaQ/1BQPlA681amkNZ7WXk3CUybAIU0175jENIfcO2fMV/dFs4FhkKj8eTN1XeMJ6Qz1QyW83u+Ag9bLE1h6Xc1P0whzUPnGRK4XAIU0lzbtyCkvgf30zssxfrOYIjWxHz5Hq73mMut/olHeNs3WFg32MXrRoUV9hrP42Ux0irrSkjql7rdJ6SQFXwoPLmwZ0JIC66fXBiZP4d2T0bJBEhgAgQopLlGPEVIfRz2TiCgSbShR9w7rwKv0vwwZC7z4yeEtTV7BedeFeXQQk3Wl0ohfQ7b/SGiNuBu/RprcTyF/2KhLBIyKXQFFuvJDGT6RfmfnAETIAESGBEBCmmusZoLaehBa+SjDHkOLGGZWg68XH51TsghTZ2DUsb6ChyRrkKLeL7EZrvXz6XWyX4o98ZDt0VCJoWOQjqUJmM5SGDKBCikudZtKKTSi9SIrEA13daEVE30go8lz0KvWQrpBb8drDoJnJ0AhTSHvImQ+ji462D9opHzFBXDrs87nK/LVWD6J2iRTr+NWUMSGBEBCmmusZoIqVy7qKz3DByOPka7tCywdHbTGVrNMTvzCc6Rnhk4syMBEigjUEFIhQPNZ9irD+U7iATC4eBjEK4t8hb1d7hZ/TKyLb4aCGmwZlN66Mr5yytY9gc4zpco6k5ZM/BaLQIx78y8sEwkvl40hypvbPpXDh13lX7TcvE5EiCBPggcEdIw5NrCeou70qUb0iKTIpIsuwjDuD0fkUXWQEilhTThcHx9vJzFecr3TRkBUG+WQ7+dtQeFVMXNYxK4dAIlQvqA3eYlFiWL/nPwZAeWXQgfbOf1rCCUXS6Vnk+cIKQzG253MQV75jKk7OXyHl1kI6A46lFbdaCQtkWS6ZDAFAgUCGnkPKPZUaS00kVCKiLWFQZXL02xh4sNhFQOJWotIBFAwcZSGw+3h+pNJUv5rpnZNbVyiZDGe7q1ulNIW0PJhEhgAgT0QhpZkLWDfsvOLWuRBqCiDq6uOJ8dcgMhhfTavYK1/hqH7ZNbfM2ODo2fvZITyDCM8BTs9BLzleeuOh79oJBO4AViFUigNQIaIY0i8WitqyP5lgqpHHIrmNc6kvT5LjcRUlG6R3jueyUsoAHTsvFxSoEQztcIFXMSjnDbyDM6mp8/S/AJCmnFBuJtJHARBPJCGg1THg1nJ7x0HRtWEBxciMZb3O3+UR4svHQIdCi8mwrpUMrPcnRPgELaPWPmQALjIZAT0tBR44jVGEXxCcQz8OZ9hHf3FteWhb+U7rohvS0Lli0MghuFdBDNMOhCUEgH3TwsHAmcmUBGSKWjRpnQRZF6ck4eiSdl8fZVMv0jQn1mCOnsKKRpHvyVJ0AhzTPhGRK4XAIZIT1uMYbet3ohlMsOjgupgXwovaE0AoV0KC0x3HJQSIfbNiwZCZyfQFpI5Rym1utWFE5alAUW6xFnI0CxWnMxac9feX2OFFI9F55NCFBIExY8IgESqCmkRyzWOkLaxCv4LO1FIT0L5lFnQiEddfOx8CTQMoF6QhpbrLRIW24HJjcqAhTSUTUXC0sCHRNICymOWJzxdf0cKY5apHJomHOkHbcrk++UAIW0U7xMnARGRiAjpFLoCizOeI5UH+O0jpAeXafaG8gxDu0+YL91UoEJTGs9sl13Omrwwx5b550SKEPsyvP5xB15KKQdtRaTJYFREsgIaYXoQ7HVmY9lGnr0iggzye4vaSrHLN703f38GpuQRkxNC+s7D76Ia+zdYjU3YWjDMUYOX4N19mqx1aN3NbXeefsGc8PE3L7L7w8b3F/07qrlopCqNHhMApdOICekkPOghR2tjGdqwEh13v/EzbvXcaQjw9BYrTLtwToaiddhjEL6ExabXSCi4QtdMrIQxFGeZe6f6D8DnTAWvoPR+ujC915lRCFVafCYBC6dQF5IUSXWrogr68C2riAE0zCi4bL7WyzNaEPrT24cvF1CrhQ1Sd7c29+xCakOlFxmpA7RS3GVe8ZGfwf9UaOr26nnpAW/wvZB2O9yFCbDxVDZZfOkkGaJ8DcJXDIBjZACaLr7SynJqCMffMc9BSGNWGuGdsOPmSrDl6WNOd6LgUU6yw/tRufTln1RNSmkRWR4ngQukYBeSOW2YLkwgM0RTXo/0uZYOnmymPVYPmY6wRLs0HPvvII5f4NtECM6ySf8wCizQpN7AQqpSoPHJHDpBAqEVGAJh3hn1g12h3AIrDGswzdsrHnHe0Q2Ll3mwToWaTRMOLPhPmWSafRTDslmhxl1vwuWIJWyDss7XI/pMmgR62AqQcdDPaezuH0cdjewZtfY7B4yGUXcK4+WUEgzAPmTBC6aQImQCi4P2DsrzOcrOPts51ONm+99xXo0IirqVF1IpZfyYITJv8d29Tw/bCmbqtbwpXxoGn9DT+afYbs/NBWKLPVKjkbicQqpBiJPkcDFEjgipIKL2Dz5M+zVB+zrGqb+DjerNRw3XJYxDsoVhfSwg7NcwDAKLMOzV1Z4nf6M+eo25+Qli1Jv+FI+NYG/wZz/c6y294pns1KvyJO3+gcRhVShx0MSuHgCFYT00hgdE1LZiapDicpx0fCg2Aj9kxoYwMR8+R5uZq6uGe1wSdIiNQwvhitf43m8LEYOG+uGPZvl2s5TwgP876lgEsZ8iZu2Pr4CK/1FZlpBDBO/xGb/Z1iFYJlMnQ8i+Q7MYbuHdjAwFRIggdESoJDmmu6YkEYPRFaMUSSccbrConeCyDpJtKFoiZFurW38XI0DIQSzV3DuH5WHQgs18UKVQhoF0vA93K1fY60d6lSS6fJQWvWmBft2HwRIkMPlx7lWKVhY59m1g3t1NCWwUP+SE9IwSIPYpP5XLNeagA1xlhTSGAUPSIAEQCHNvQQVhdRzYAnHlyPzarEwZJeiyOctB16uDHVORPN7WiecjBdq4IgUrf2dL7HZhuJVJ7fW7vW/w7kWZclGyJIi9RKOd6IHl/zY0bFJfQA9YLe5hhnct8Bysz0SQlCWkRZpa+8DEyKBEROgkOYar4qQSuvOwMx2UdjdF4oFgNaENFeBEZyQFrkuVJ8UqRaEtDMSsowU0s4QM2ESGBEBCmmusaoIqbQCMxZfKi0fB3eNudZqjcLRlUbPSSU2rR/B0KqpicmcMKvu+NMHGgppH9SZJwkMlQCFNNcyVYRUdqRljjty3aPixBI4HH2MHGsWWDq7fOD0XHmmdiKx5pNhceFw9A84m2UYUH7pHBla7ZuJbH9apH23BPMngSEQoJDmWqGCkAZengaMskAM2vm5KA6x82XgQpGD0uIJac0rns7C6cqy8dH5hG3D9cotFrBCUhTSCpB4CwlcDAEKaa6pEyENA/LLDj+ZswvXYxowyhyFnlzYM7FDThIcPZfVRZ44wLXnMEY1rF30TtAivchXmJUmgQwBCmkGyPGfSada6mgkhbTMaj2e2QTvkEJKEZpg47JKJHCRBCiktZu9QEgP33Bj/5bEJZZDu1qLVARQsLHcfLvAOVI5tKt31BKh/F4v3ycca7cPHyABEiCB8xKgkDbg/eTamIl5vWihfxhP+EUmBJ30QL2Ctf4ah+3zPReObWFmvcVdK1GNGlSg70cir11TZSAcsRwb1szC+m5MISX7hsn8SYAE+iZAIW3SAkFUICtawC9C/W0KnGSEN+r7IKqRnG8NnGr6DITQpL4dPON7d7gJYhVHc9AiutHHS3bC6gAykyQBEjgLAQrpWTAzExIgARIggakSoJBOtWVZLxIgARIggbMQoJCeBTMzIQESIAESmCoBCulUW5b1IgESIAESOAsBCulZMDMTEiABEiCBqRKgkE61ZVkvEiABEiCBsxCgkJ4FMzMhARIgARKYKgEK6VRblvUiARIgARI4CwEK6VkwMxMSIAESIIGpEqCQTrVlWS8SIAESIIGzEKCQngUzMyEBEiABEpgqAQrpVFuW9SIBEiABEjgLAQrpWTAzExIgARIggakSoJBOtWVZLxIgARIggbMQoJCeBTMzIQESIAESmCoBCulUW5b1IgESIAESOAsBCulZMDMTEiABEiCBqRKgkE61ZVkvEiABEiCBsxCgkJ4FMzMhARIgARKYKgEK6VRblvUiARIgARI4CwEK6VkwMxMSIAESIIGpEvj/XY7mHxZj59kAAAAASUVORK5CYII=)
Answer: (a)
74. If the transfer function does not have pole-zero cancellation, the system can always be represented by:
(a) Unity feedback
(b) Characteristic equation
(c) Completely controllable and observable state model
(d) Neither completely controllable nor observable
(a) Unity feedback
(b) Characteristic equation
(c) Completely controllable and observable state model
(d) Neither completely controllable nor observable
Answer: (c)
75. For the given transfer function:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAABDCAYAAACV4BBUAAAMLklEQVR4Ae1dv4vjOBT2v+E67XTTbeUqzTTXbLOFizRTbLdFIMXCFQdXBKa66sAQFg4OFsPCNcdAuOaagXRbhHTLMaTZ4hjCsQyLeYd+PFuSJVl2Mo6TvIUltkeWnj5Jn56enp4joH+EACFACCgIRMo1XRIChAAhAEQK1AkIAUJAQ4BIQYODbggBQoBIgfoAIUAIaAgQKWhw0A0hQAgQKVAfIAQIAQ0BIgUNDrohBAgBIgXqA4QAIaAhQKSgwUE3Q0Gg2CzgNltDMRSBLkgOIoULauxBVrVYQzaOIYoi438MY5MUdhu4n6cQ87QxJNMPsNo+D7JapywUkcIpt945yC5JIZ4u4clXn+IL5JNrSGb3sGXqw+4zZOkVxJMcHkmd8CHX+m9ECq0hoxcOikAgKRSbDMbRa8g232TxBTwtZxBH1zBdfj2oSJeeGZHCpfeAY9c/iBS+wSZ7DVE8g+WTohY8LWEaW5YZx67TiZdPpHDiDXjy4oeQgkwTjTPYKJwAnBQiaFx6nDxI/VaASKFfvKk0EwEkhfQdvEukwTFOYX6/gR2mdZGC6zm+R7+dECBS6AQbvXQ4BJ5gnb2HWb4WJFBs4eGO7TBcwST/IrYkXYPf9fxwwl1kTkQKF9nsA6+0OdjNexRfPqflAwJymN+jkEKxXcGnbArjpm0oWx3ZOnKUwjxfia0pWxp6dtoI1EjgKyyn12Ro7KlVeyaFJ9jkM0iiMUyzJWx2qtUotMYF7DZLyKZjiJIZ5Bvv7nZoppTuKAiIXYXaTF/TAHD7Ud2SBKhvUx6lEmdXaGtSwFk+MTzQ4nQOHz/5Zm+2dpxAHE8gWx9iIMv8ohuYr/49u4a5jArJrcZoDLPlo7QfoE3BaNfdA8yTGOJ0AWs2mZDz0ot1kRakgLP8FaTzvHIvLR5hORsLF1Vzy6gU+xke87e68aj82x4XWHb8FvJHcnfdA8kjvcq0vr8g/ziHNEY3Z+a+nMHSogEW2wdYMA2RT0isH/7ZUds8UnVPpNhAUvgXVvMbiKIrSLPP1VYRVlLuF4/mK/iOz9Rf3E9+AZfU4jGHSUx71SrcdE0I7INAACngLB+5/cz5GvCVw90UVcSXckdFwtLXm/uAQu8SApeMQDMpyFk+6qqioyXZdFE9IOrC4ETurgeElLK6YAQaSAFn+e7quRiwoe8/wWb5O8zTK/0YLfNw821BInE5bRoX3MJUdUKgJQJ+UpAW36izhf87bPNbiKKQWRx3E8YwRe82eIbtwy/CCOUd8P9Ano4gim4h31qtGhZY8B00cLX5bVOOpWh6RAgMGAEvKXxfzWHELL2dVf8drOYJRCHHW3G2T3PYaoAxbeVNPeCGlkY6t0QJzFelx7yWon5DpFDHhJ4QAuD7QtT+SweAFoMVSSG5g1VrpyYknxGk+T/UroQAIbAHAh5NAWdSm+qPHmaqym3bXcA8QmZw3EWIIE7v4N6yT+2u5/BIoR5eTMWKrgmf4/UB9zgSf3GTwvcVzEdMcNtgZy9XW5WR6pGmldiGFFiIrTXkqnPK3d+B5xuIFGiQHW+QnRr22hC13ASQgnuWL20OTiNgi+VDKdwzbFcfYCrP1ofF4BseKZTVoQtC4MQQ2IMUcGfBt924x2Atdz5cmoqKdBfyQS2mywxDuw8q+nR9Xgi4SQGdjpwW/ZABj8Rhs0s0AYnvBhgPS1nbDFYihaYWoL9fJgJuUgDcfXAMaNwt0CLs1kFsdl5ybTkiKQRoCiiLcxlTl4ueEAKEgB0BDykww584rhrFKdw9bOXXetjJtj8rr8MmHwacxZ3p5IytxUZgZeTcrtBsU8CdEAd52es93Ke7DSy7BqAZbq32kIxNGhP9ZG6r3DD+xhvH2ZxWmZ1EYjYR36RzyFc4ZtuJ7ScFlpfspFX8BHa09VfIl59hnb+FUWP0JNQ4HDN+sYXVp48iaIoao4G5Nn/8K+BoLNoTTv1AVAG79QLSkUrA7RrzJFKzSeJ2oUdlbhRcThLj25axOISX7Cj9BR4u7UtSfCfvtf1UcwPezaTQkEHQn6V63zzrB+WmJTqbo9NcK/vBEzAGd2XeKB9E0aDodtPlU2xsosh/LXeI+JH6WmwDnAwshtyOyzze1qPQ2BkF7FZ3kPic4diEtJhC0lEeO+CGJs2ijC0eArfWASBIJtR+MLYEw5hN1rk+ifKvaiVVAFy7wLWn/ZBC6dOgROitidLhwdkEWWGOWz9AMn+ox6oAswOEakRiUNZCnakwd/kUGxJ8Ofs+w3b5IySsU2ryS1JwLhtVQUKvZZ1C4nJ4SZYdvMsqUgslBb4UdoUIEHUQkxRGkpLaXxzS78NlEmVcQVr68WBUM+NjOYxj2Je1Wp5w7okUGGAoOIVjqw0BPtDsg73Y/AYzPgv/J76S1GDYrfJuJgVhBFbLRfuMY6nHm5F9lUl9h/U8+ZFYjQBeghRYN7KUX1VaXsl6WAf7N9gsfhLflUC5relqmcp6+khB1lnLTy5vNWzMvNvIZCtDDn6tXCyDlf+q4ewQphW/PZICKxBDuu0TuJVpWDIsl2ac1Cs2nDtU+/HLyubXkmUH9nYaVhvZGQ5GCo5BywddW6OtreM78nc0TNmmaFdKprCwGcr4QB41dHIhj1dLYnIcmhRkfnq5SLQGkTpwaJSprczYb6yEYReiZ1IQQmDw10sI8S7UN9SOUJ1UO4id+evNdWBScHUuXB40GpAVCXleo+7LB/7+dWUU40FZrx0DP2DAS3lqn7JXROaXLgzMdHjP07s1BaF5mYSKpODRvjB/9tsoE/YDI7Ctmod2HTrpVC8dhRSq4s/9yjZbfoXl7GflQ6lylm1kcuwMKqH48BPp9VlLSe/qfK7nyqv6pTwDk/wIS83Cj3V/A9N3aBCzB1sVg0kdNKwj/wwz69ekA/AK1Xba1pWnb0sKGIreJAsdxfIuRCYZyZqdOWo2YiIphfYb79HpUky62AMB0eHR8GTJKKQT8Nd8pIANb7H0ozpe/srO6SrX9dwiOjAjKN9GRU1ITcT+9gGmM7SIVwFzartQvMwRJLP7ACt9MynYZ2xVNnntrassp8TNh60YcK5yXc8tEgVoCvItZdeohqeWMfYNIgUNluPeYEQp+yxZxpwYmKbg1DAUMIvtPcwS3zaqkphfuogNl1Uhx+abSUEYIwNmZi8pmLKjat9VU1A1IUve+KiVTLjz48ubSAGhHdivsndd2zeXA6VvUsAAOKaBM1T15lt+N9VHXIIQd5GCfLmc/XzrZUEKXtKSmkffNgVBRuYBwZaDshUpIFHF4MZDlm+2s6e9yKbgAWe/P7EB8F5zNBJqpMnqoY3WMKBqwor0jZ3F2M0QMjaomtw/xPSWY4P1tqwvz6fWEWUdlOfFZgG32Vq60Ad08qABH0AcDK9OA9CtKdi1PlnnRtKXDeiUifWT93CjYsVeaSTxluUD2RRqQ+lwD1jHfKWsk6WqpwyIsizesE0D8QvkExbl2mOfKDNkF02kUJ1t8X6Kjcumzn6CxEamAxHXHCpvS1xHV3YCtCmoTk6SEBUjpViSuAdeEGmBzLdhIKI3bKSUr0Fo3vAB65aN21iYF2X50SRcFpnOS4K0bLFP3TLJd1RZUbOqaZ+K4EEkqqQnUtDBOOyd4aEWsfWy65CKCEVnndXloKxH92laMweQApss0eeDG9Qsdg+TFHAmsxngVMLjrtC/VQfnWPpkCtlyo3htmt6aLEiwL5y/rJNJSLaG4yRlG8CSMGzyG1pTLdtGUmBvGH4prD73ap1ZGpMUQmSq9ye++5D9UX3CsSbw4D0aLRLToxKB9ka78tWLueCzaPDZB6mZ+WbRc0du2Gcfzh39Q9TPt713iPxPOQ+mUeQwHU+UI/wh9cFTkvJL1SGvnEsaPCVZno8IrxgZGsOx6iclP6o+g4lpUOqn9AGWwpYMh4in8K40gg6wkgcVidldXjaewkHFpcwIAUJg6AiQpjD0FiL5CIGeESBS6BlwKo4QGDoCRApDbyGSjxDoGQEihZ4Bp+IIgaEjQKQw9BYi+QiBnhEgUugZcCqOEBg6AkQKQ28hko8Q6BkBIoWeAafiCIGhI0CkMPQWIvkIgZ4RIFLoGXAqjhAYOgJECkNvIZKPEOgZASKFngGn4giBoSNApDD0FiL5CIGeESBS6BlwKo4QGDoC/wN1T049oNtzgwAAAABJRU5ErkJggg==)
The corner frequencies will be respectively:
(a) 2 rad/sec and 10 rad/sec
(b) 4 rad/sec and 10 rad/sec
(c) 2 rad/sec and 5 rad/sec
(d) 4 rad/sec and 5 rad/sec
(a) 2 rad/sec and 10 rad/sec
(b) 4 rad/sec and 10 rad/sec
(c) 2 rad/sec and 5 rad/sec
(d) 4 rad/sec and 5 rad/sec
Answer: (b)
76. A single phase transformer has total core loss of 1000 𝑊 at 420 𝑉 , 60 Hz and total core loss of 400 𝑊 at 210 𝑉 , 30 Hz . The total core loss at 350 𝑉 , 50 Hz will be nearly:
(a) 593.4 𝑊
(b) 685.4 𝑊
(c) 777.8 𝑊
(d) 869.8 𝑊
(a) 593.4 𝑊
(b) 685.4 𝑊
(c) 777.8 𝑊
(d) 869.8 𝑊
Answer: (c)
77. In a transformer, the core loss is 120 𝑊 at 40 Hz and 82.5 𝑊 at 30 Hz . Both losses are measured at the same flux density. The hysteresis and eddy current losses at 50 Hz will be:
(a) 100 𝑊 and 62.5 𝑊
(b) 95 𝑊 and 62.5 𝑊
(c) 100 𝑊 and 52.5 𝑊
(d) 95 𝑊 and 52.5 𝑊
(a) 100 𝑊 and 62.5 𝑊
(b) 95 𝑊 and 62.5 𝑊
(c) 100 𝑊 and 52.5 𝑊
(d) 95 𝑊 and 52.5 𝑊
Answer: (a)
78. What is the condition for progressive winding in dc machine?
![](data:image/png;base64,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)
Answer: (a)
79. A dc shunt generator has an induced voltage on open circuit of 127 𝑉 . When the machine is on load, the terminal voltage is 120 𝑉 . For the field resistance of 15 Ω, armature resistance of 0.02 Ω and by ignoring armature reaction, the load current will be:
(a) 360 𝐴
(b) 354 𝐴
(c) 348 𝐴
(d) 342 𝐴
(a) 360 𝐴
(b) 354 𝐴
(c) 348 𝐴
(d) 342 𝐴
Answer: (d)
80. A 100 kVA, 6600/330 𝑉 , 50 Hz , single-phase transformer took 10 𝐴 and 436 𝑊 at 100 𝑉 in a short-circuit test, referring to the high voltage side. The voltage to be applied to the high voltage side on full-load at 0.8 𝑝.𝑓. lagging when the secondary load voltage is 330 𝑉 will be:
(a) 6914 𝑉
(b) 6734 𝑉
(c) 6452 𝑉
(d) 6172 𝑉
(a) 6914 𝑉
(b) 6734 𝑉
(c) 6452 𝑉
(d) 6172 𝑉
Answer: (b)
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