ELEN30011 Electrical Device Modelling Page 1 of 6 THE UNIVERSITY OF MELBOURNE Department of Electrical & Electronic Engineering Semester 2 Assessment — 2022 ELEN30011 ELECTRICAL DEVICE MODELLING Reading time: 30 minutes Writing time: 180 minutes Submission time: 30 minutes This examination paper has 6 pages Authorized materials: 1) A device or computer running Zoom, with working video camera and microphone. 2) Any hardcopy material and/or electronic media stored on an offline PDF reader. 3) Any paper, pens, pencils, rulers, and any dedicated handheld calculator (e.g. FX-100). 4) A mobile phone or tablet, for use as a scanner during submission time. Instructions to students: 1) This is an open book and Zoom supervised exam. It contains four (4) ques- tions, each with multiple parts. A maximum of 100 marks is available, with 25 marks allocated per question. Question parts may be worth unequal marks. 2) Your answers must be handwritten on paper and scanned. Writing with an electronic device is not permitted. 3) Your answers must be entirely your own work. Assistance, collaboration, col- lusion, or plagiarism is not permitted, by any means. 4) During reading time: Writing is not permitted, in any form. You may print the exam paper. Alternatively, you may download the exam paper to your PDF reader, which must then be disconnected from the internet. 5) During writing time: Attempt all questions. Write your answers using pen / pencil on paper. Commence each question on a new page. Ensure that all your handwritten pages, hardcopy material, and your PDF reader remain visible to supervisors at all times. Interaction with your device or computer running Zoom is not permitted, unless directed by supervisors. 6) During submission time: Cease writing immediately. Assemble your pages in ques- tion number order. Scan and combine them into a single PDF file, using your mobile phone or tablet. Check that all pages are included and clearly readable. Submit your PDF file using the Canvas Assignment window corresponding to this exam. Confirm your submission with supervisors. (OVER) ELEN30011 Electrical Device Modelling Page 2 of 6 Question 1 (25 marks)
AAAIiXicfZVbb9MwFMczbisdlw0eeYmoJiGEpmYCMfG0Cw97GGNMdO3WVJPjOK01x45sd21m+UvwCl+Mb4OTpje7zFKl45O fzzn+H9eOMoKFbDb/rj14+Ojxk/Xa0/rGs+cvXm5uvboQbMghakFGGO9EQCCCKWpJLAnqZByBNCKoHd0cFd/bt4gLzOhPmWeol4I+xQmGQBpXJxxSLNVYX282mjvNcviuEVRGw6vG2fXW+k0YMzhMEZWQACG6QTOTPQW4xJAgXQ+HAmUA3oA+6hqTghSJnioL1v628cR+wrj5UemX3sUVCqRC5GlkyBTIgbC/Fc6V3woPF4lYyq+iVNsRIpHr+rZvrwXR2CpdJns9hWk2lIjCSeXJkPiS+YWcfow5 gpLkxgCQY7N5Hw4AB1Aa0ev1kKIRZGkKaKzCCGjfDGOgPqZGKg5yrZcZNGWQmU2JZUT0qWGUCiUaS56qYl5CX5HpBEffzD6+Z4gDyfh7FQLeTzHVJlg//FBY94FgPAWNdV9IIYGs0NL8HzrhJoi1Dyl0N+jNdiJkTpBqBNqWJEYprkSRQoWJEVcFWu064HlJlQGLXkaROteOelksGUW6uzvJXEYLs+LYAuKX6RenRRK7nBUB4mplPFtiZUWZmBdnJpgwagdm2USP2QYgIKv0YNnAqDmVboRjZOaFe wJbNGxXiWdhBeSq7XIH2qEOXOrQpQ5d6tKlLl2q5VItlzp1unrqQiduqBOXOl6mCn2PXaqjrUgdl7mymSuHiZi2cp24p3E0qHq+0MkVLR/JZUxiEq/8rzAyB5m594tnoeKWwdtkethmwiarAhbvwzxklM7Y0JTqVyduxRoxX1Teyem0imV0XBzlWVOqx8iOl7tQ7kB3LnTnbjvGRpT+YmNMZcbpdnjIiYWVLpvrcxBPOQoiApzrgqV2OuNxlRAimd4pRqnr6mQlk/vEPM+B/Ri7xsXuTvBpp/njY2 P/sHqoa94b7633zgu8z96+d+ydeS0PesT75f32/tQ2akFtr/Zlgj5Yq9a89pZG7egfgoUFuw== xˆ
AAAIiXicfZVbb9MwFM czbisdlw0eeYmoJiGEpmYCMfG0Cw97GGNMdO3WVJPjOK01x45sd21m+UvwCl+Mb4OTpje7zFKl45Ofzzn+H9eOMoKFbDb/rj14+Ojxk/Xa0/rGs+cvXm5uvboQbMghakFGGO9EQCCCKW pJLAnqZByBNCKoHd0cFd/bt4gLzOhPmWeol4I+xQmGQBpXJxxSLFWurzcbzZ1mOXzXCCqj4VXj7Hpr/SaMGRymiEpIgBDdoJnJngJcYkiQrodDgTIAb0AfdY1JQYpET5UFa3/beGI/Yd z8qPRL7+IKBVIh8jQyZArkQNjfCufKb4WHi0Qs5VdRqu0Ikch1fdu314JobJUuk72ewjQbSkThpPJkSHzJ/EJOP8YcQUlyYwDIsdm8DweAAyiN6PV6SNEIsjQFNFZhBLRvhjFQH1MjFQ e51ssMmjLIzKbEMiL61DBKhRKNJU9VMS+hr8h0gqNvZh/fM8SBZPy9CgHvp5hqE6wffiis+0AwnoLGui+kkEBWaGn+D51wE8TahxS6G/RmOxEyJ0g1Am1LEqMUV6JIocLEiKsCrXYd8L ykyoBFL6NInWtHvSyWjCLd3Z1kLqOFWXFsAfHL9IvTIoldzooAcbUyni2xsqJMzIszE0wYtQOzbKLHbAMQkFV6sGxg1JxKN8IxMvPCPYEtGrarxLOwAnLVdrkD7VAHLnXoUocudelSly 7VcqmWS506XT11oRM31IlLHS9Thb7HLtXRVqSOy1zZzJXDRExbuU7c0zgaVD1f6OSKlo/kMiYxiVf+VxiZg8zc+8WzUHHL4G0yPWwzYZNVAYv3YR4ySmdsaEr1qxO3Yo2YLyrv5HRaxT I6Lo7yrCnlYzR24uUulDvQnQvduduOsRGlv9gYU5lxuh0ecmJhpcvm+hzEU46CiADnumCpnc54XCWESKZ3ilHqujpZyeQ+Mc9zYD/GrnGxuxN82mn++NjYP6we6pr3xnvrvfMC77O37x 17Z17Lgx7xfnm/vT+1jVpQ26t9maAP1qo1r72lUTv6B4qkBbw= yˆ
AAAIiXicfZVbb9MwFMczbi sdlw0eeYmoJiGEpmYCMfG0Cw97GGNMdO3WVJPjOK01x45sd21m+UvwCl+Mb4OTpje7zFKl45Ofzzn+H9eOMoKFbDb/rj14+Ojxk/Xa0/rGs+cvXm5uvboQbMghakFGGO9EQCCCKWpJLAnqZByB NCKoHd0cFd/bt4gLzOhPmWeol4I+xQmGQBpXJxxSLNWdvt5sNHea5fBdI6iMhleNs+ut9ZswZnCYIiohAUJ0g2YmewpwiSFBuh4OBcoAvAF91DUmBSkSPVUWrP1t44n9hHHzo9IvvYsrFEiFyNP IkCmQA2F/K5wrvxUeLhKxlF9FqbYjRCLX9W3fXguisVW6TPZ6CtNsKBGFk8qTIfEl8ws5/RhzBCXJjQEgx2bzPhwADqA0otfrIUUjyNIU0FiFEdC+GcZAfUyNVBzkWi8zaMogM5sSy4joU8MoF Uo0ljxVxbyEviLTCY6+mX18zxAHkvH3KgS8n2KqTbB++KGw7gPBeAoa676QQgJZoaX5P3TCTRBrH1LobtCb7UTInCDVCLQtSYxSXIkihQoTI64KtNp1wPOSKgMWvYwida4d9bJYMop0d3eSuYwW ZsWxBcQv0y9OiyR2OSsCxNXKeLbEyooyMS/OTDBh1A7Msokesw1AQFbpwbKBUXMq3QjHyMwL9wS2aNiuEs/CCshV2+UOtEMduNShSx261KVLXbpUy6VaLnXqdPXUhU7cUCcudbxMFfoeu1RHW5 E6LnNlM1cOEzFt5TpxT+NoUPV8oZMrWj6Sy5jEJF75X2FkDjJz7xfPQsUtg7fJ9LDNhE1WBSzeh3nIKJ2xoSnVr07cijVivqi8k9NpFcvouDjKs6aUj9HYiZe7UO5Ady505247xkaU/mJjTGXG6 XZ4yImFlS6b63MQTzkKIgKc64KldjrjcZUQIpneKUap6+pkJZP7xDzPgf0Yu8bF7k7waaf542Nj/7B6qGveG++t984LvM/evnfsnXktD3rE++X99v7UNmpBba/2ZYI+WKvWvPaWRu3oH5LDBb0 = zˆ out of the page
AAAIgnicfZXPT9swFMcDY6Prf sF23CVahTShCTVs03bYAdgOHBgDtNJCUyHHcVILx45sl7ZY+Qt23f64/Tdz0qQ0doelSs8vn/ee/X2uHaQEC9lu/11ZfbD28NF643HzydNnz19sbL48F2zEIepARhjvBUAgginqSCwJ6qUcgSQgqBtcf 82/d28QF5jRn3KaokECYoojDIHUrtOzq41We6ddDNc2vNJoOeU4udpcv/ZDBkcJohISIETfa6dyoACXGBKUNf2RQCmA1yBGfW1SkCAxUMVKM3dLe0I3Ylz/qHQL72KEAokQ0yTQZALkUJjfcufSb7mHi 0jU6qsgycwMgZhmzS3XjAXBxFi6jD4PFKbpSCIKZyuPRsSVzM11dEPMEZRkqg0AOdabd+EQcAClVrvZ9CkaQ5YkgIbKD0Dm6qENFGOqpeJgmmV1BlUM0rOKqCMipppRypdoInmi8nkBfUO6Exx91/v4k SIOJOPbygc8TjDNdLLYf5db94FgUoHaui+lkECWaGH+D51xM8TYhxRZ3xvMdyLklCDV8jJTkhAluBRFCuVHWlzlZWrXAs8KqkiY9zII1FlmqZeGklGU9XdnlYtsfpofW0DcovziNC9iLmdJgrCMDOchR lWUirvF6QkmjJqJWTrTY74BCMgyPVg61GpW0o1xiPQ8d89gg4bdsvA8rYBcdW1uP7OofZs6sKkDm7qwqQub6thUx6aOra4e29CRnerIpg7rVK7voU31MiNTz2YuTebSYgKWGbWO7NM4HpY9X+jkkpaPZ R2TmIRL/yuM3IFMX/j5e1BydfAmqg7bXNhoWcIRxQu1g2TO+nqpbnnilsSIu6DiTk6qVdTRSX6U503JA9XEyje1oakF3drQrb3tEGtR4sXG6JVpp93hEScGVrhMLuYgrDgKAgKs64IlZjntsZUQIqruFK 3UVXmyotl9op9nz3yMbeN8d8f7uNM+/dDaOygf6obz2nnjvHU855Oz5xw6J07HgQ5yfjm/nT+NtcZ2w2u8n6GrK2XMK6c2Gl/+AROyAjs= R
AAAIgnicfZXNThs xEMcXSkuafkF77GXVCKlCFcrSVu2hB6A9cKAUUEMC2Qh5vd6Nhdde2Q5JsPYJem0frm9T71dI7BRLkcazv5mx/+PYQUqwkO3235XVB2sPH603HjefPH32/MXG5stzwUYcog5kh PFeAAQimKKOxJKgXsoRSAKCusH11/x79wZxgRn9KacpGiQgpjjCEEjtOuVXG632TrsYrm14ldFyqnFytbl+7YcMjhJEJSRAiL7XTuVAAS4xJChr+iOBUgCvQYz62qQgQWKgip Vm7pb2hG7EuP5R6Rbe+QgFEiGmSaDJBMihML/lzqXfcg8XkVior4IkMzMEYpo1t1wzFgQTY+ky+jxQmKYjiSgsVx6NiCuZm+vohpgjKMlUGwByrDfvwiHgAEqtdrPpUzSGLEkA DZUfgMzVQxsoxlRLxcE0yxYZVDNIz2piEREx1YxSvkQTyROVzwvoG9Kd4Oi73sePFHEgGd9WPuBxgmmmk8X+u9y6DwSTGtTWfSmFBLJCC/N/aMmViLEPKbK+N5jtRMgpQarlZ aYkIUpwJYoUyo+0uMrL1K4FnhVUkTDvZRCos8xSLw0loyjr75aVi2x+mh9bQNyi/Pw0L2IuZ0mCsIoMZyFGVZSKu8XpCSaMmolZWuox2wAEZJkeLB1qNWvpxjhEep67S9igYbc qPEsrIFddm9vPLGrfpg5s6sCmLmzqwqY6NtWxqWOrq8c2dGSnOrKpw0Uq1/fQpnqZkalnM5cmc2kxAcuMWkf2aRwPq57PdXJJy8dyEZOYhEv/K4zcgUxf+Pl7UHGL4E1UH7aZ sNGyhCOK52oHyYz19VLd6sQtiRF3QcWdnNSrWEQn+VGeNSUPVBMr39SGphZ0a0O39rZDrEWJ5xujV6addodHnBhY4TK5mIOw5igICLCuC5aY5bTHVkKIqL5TtFJX1cmKyvtEP8 +e+Rjbxvnujvdxp336obV3UD3UDee188Z563jOJ2fPOXROnI4DHeT8cn47fxprje2G13hfoqsrVcwrZ2E0vvwDF4ECWw==r charge density
AAAIgnicfZXPT9swFMc DY6PrfsF23CVahTShCTVs03bYAdgOHBgDtNJCUyHHcVILx45sl7ZY+Qt23f64/Tdz0qQ0doelSs8vn/ee/X2uHaQEC9lu/11ZfbD28NF643HzydNnz19sbL48F2zEIepARhjvBUAgginq SCwJ6qUcgSQgqBtcf82/d28QF5jRn3KaokECYoojDIHUrtOTq41We6ddDNc2vNJoOeU4udpcv/ZDBkcJohISIETfa6dyoACXGBKUNf2RQCmA1yBGfW1SkCAxUMVKM3dLe0I3Ylz/qHQL7 2KEAokQ0yTQZALkUJjfcufSb7mHi0jU6qsgycwMgZhmzS3XjAXBxFi6jD4PFKbpSCIKZyuPRsSVzM11dEPMEZRkqg0AOdabd+EQcAClVrvZ9CkaQ5YkgIbKD0Dm6qENFGOqpeJgmmV1Bl UM0rOKqCMipppRypdoInmi8nkBfUO6Exx91/v4kSIOJOPbygc8TjDNdLLYf5db94FgUoHaui+lkECWaGH+D51xM8TYhxRZ3xvMdyLklCDV8jJTkhAluBRFCuVHWlzlZWrXAs8KqkiY9zI I1FlmqZeGklGU9XdnlYtsfpofW0DcovziNC9iLmdJgrCMDOchRlWUirvF6QkmjJqJWTrTY74BCMgyPVg61GpW0o1xiPQ8d89gg4bdsvA8rYBcdW1uP7OofZs6sKkDm7qwqQub6thUx6a Ora4e29CRnerIpg7rVK7voU31MiNTz2YuTebSYgKWGbWO7NM4HpY9X+jkkpaPZR2TmIRL/yuM3IFMX/j5e1BydfAmqg7bXNhoWcIRxQu1g2TO+nqpbnnilsSIu6DiTk6qVdTRSX6U503J A9XEyje1oakF3drQrb3tEGtR4sXG6JVpp93hEScGVrhMLuYgrDgKAgKs64IlZjntsZUQIqruFK3UVXmyotl9op9nz3yMbeN8d8f7uNM+/dDaOygf6obz2nnjvHU855Oz5xw6J07HgQ5yf jm/nT+NtcZ2w2u8n6GrK2XMK6c2Gl/+AQN2Ajk= P
AAAIgnicfZXNThs xEMcXSkuafkF77GXVCKlCFcrSVu2hB6A9cKAUUEMC2Qh5vd6Nhdde2Q5JsPYJem0frm9T71dI7BRLkcazv5mx/+PYQUqwkO3235XVB2sPH603HjefPH32/MXG5stzwUYcog5kh PFeAAQimKKOxJKgXsoRSAKCusH11/x79wZxgRn9KacpGiQgpjjCEEjtOuVXG632TrsYrm14ldFyqnFytbl+7YcMjhJEJSRAiL7XTuVAAS4xJChr+iOBUgCvQYz62qQgQWKgip Vm7pb2hG7EuP5R6Rbe+QgFEiGmSaDJBMihML/lzqXfcg8XkVior4IkMzMEYpo1t1wzFgQTY+ky+jxQmKYjiSgsVx6NiCuZm+vohpgjKMlUGwByrDfvwiHgAEqtdrPpUzSGLEkA DZUfgMzVQxsoxlRLxcE0yxYZVDNIz2piEREx1YxSvkQTyROVzwvoG9Kd4Oi73sePFHEgGd9WPuBxgmmmk8X+u9y6DwSTGtTWfSmFBLJCC/N/aMmViLEPKbK+N5jtRMgpQarlZ aYkIUpwJYoUyo+0uMrL1K4FnhVUkTDvZRCos8xSLw0loyjr75aVi2x+mh9bQNyi/Pw0L2IuZ0mCsIoMZyFGVZSKu8XpCSaMmolZWuox2wAEZJkeLB1qNWvpxjhEep67S9igYbc qPEsrIFddm9vPLGrfpg5s6sCmLmzqwqY6NtWxqWOrq8c2dGSnOrKpw0Uq1/fQpnqZkalnM5cmc2kxAcuMWkf2aRwPq57PdXJJy8dyEZOYhEv/K4zcgUxf+Pl7UHGL4E1UH7aZ sNGyhCOK52oHyYz19VLd6sQtiRF3QcWdnNSrWEQn+VGeNSUPVBMr39SGphZ0a0O39rZDrEWJ5xujV6addodHnBhY4TK5mIOw5igICLCuC5aY5bTHVkKIqL5TtFJX1cmKyvtEP8 +e+Rjbxvnujvdxp336obV3UD3UDee188Z563jOJ2fPOXROnI4DHeT8cn47fxprje2G13hfoqsrVcwrZ2E0vvwDF4ECWw==r
AAAIgnicfZXPT9swFMcDY6Prf sF23CVahTShCTVs03bYAdgOHBgDtNJCUyHHcVILx45sl7ZY+Qt23f64/Tdz0qQ0doelSs8vn/ee/X2uHaQEC9lu/11ZfbD28NF643HzydNnz19sbL48F2zEIepARhjvBUAgginqSCwJ6qUcgSQgqBtcf 82/d28QF5jRn3KaokECYoojDIHUrtOzq41We6ddDNc2vNJoOeU4udpcv/ZDBkcJohISIETfa6dyoACXGBKUNf2RQCmA1yBGfW1SkCAxUMVKM3dLe0I3Ylz/qHQL72KEAokQ0yTQZALkUJjfcufSb7mHi 0jU6qsgycwMgZhmzS3XjAXBxFi6jD4PFKbpSCIKZyuPRsSVzM11dEPMEZRkqg0AOdabd+EQcAClVrvZ9CkaQ5YkgIbKD0Dm6qENFGOqpeJgmmV1BlUM0rOKqCMipppRypdoInmi8nkBfUO6Exx91/v4k SIOJOPbygc8TjDNdLLYf5db94FgUoHaui+lkECWaGH+D51xM8TYhxRZ3xvMdyLklCDV8jJTkhAluBRFCuVHWlzlZWrXAs8KqkiY9zII1FlmqZeGklGU9XdnlYtsfpofW0DcovziNC9iLmdJgrCMDOchR lWUirvF6QkmjJqJWTrTY74BCMgyPVg61GpW0o1xiPQ8d89gg4bdsvA8rYBcdW1uP7OofZs6sKkDm7qwqQub6thUx6aOra4e29CRnerIpg7rVK7voU31MiNTz2YuTebSYgKWGbWO7NM4HpY9X+jkkpaPZ R2TmIRL/yuM3IFMX/j5e1BydfAmqg7bXNhoWcIRxQu1g2TO+nqpbnnilsSIu6DiTk6qVdTRSX6U503JA9XEyje1oakF3drQrb3tEGtR4sXG6JVpp93hEScGVrhMLuYgrDgKAgKs64IlZjntsZUQIqruFK 3UVXmyotl9op9nz3yMbeN8d8f7uNM+/dDaOygf6obz2nnjvHU855Oz5xw6J07HgQ5yfjm/nT+NtcZ2w2u8n6GrK2XMK6c2Gl/+AROyAjs= R Solid cylinder
AAAIh3icfZVbT9swFMcNu1C6G2yP e4lWIU3TxBq0C4/A9sADYwyttNBUyHGc1MOxI9ulLVa+w163b7ZvMydNS2t3WKp0fPI759j/49phRolUzebfldV79x88XKut1x89fvL02cbm8zPJBwLhFuKUi04IJaaE4ZYiiuJOJjBMQ4rb4dXn4nv7GgtJOPuh xhnupTBhJCYIKuM6C3hGB/Jyo9HcbpbDcw2/MhqgGieXm2tXQcTRIMVMIQql7PrNTPU0FIogivN6MJA4g+gKJrhrTAZTLHu6XG7ubRlP5MVcmB9TXumdj9AwlXKchoZMoepL+1vhXPqt8AgZy4X6OkxzO0Mox3l9 y7NjYTiylq7i3Z4mLBsozNBk5fGAeop7hZheRARGio6NAZEgZvMe6kMBkTKS1+sBw0PE0xSySAchzD0zjIETwoxUAo7zfJHBUwab2ZRYRGTCDKN1oPBIiVQX8xL6gk0nBP5q9vEtwwIqLt7oAIokJSw3yZLgbWHd BcLRFDTWXSmlgqpCS/N/6ISbINY+lMy7fm+2E6nGFOuGn9uSRDgllShK6iA24mo/1zsOeFpSZcKil2GoT3NHvSxSnOG8uzOpXGYLsuLYQuqV5eenRRF7OUsSRFVkNAuxquJM3i7OTAjlzE7Ms4kesw0gSJfpwbO+ UXMq3ZBE2MwL9wS2aNSuCs/SSiR02+X2c4fad6kDlzpwqXOXOneplku1XOrY6eqxCx25qY5c6nCRKvQ9dKlObmXquMyFzVw4TMhzq9aRexqH/arnc51c0vKhWsQUodHS/wqntyA3t37xKFTcIngdTw/bTNh4WcIB I3O1w3TGBmapXnXilsTI26DyTk6nq1hER8VRnjWlCNQjJ9/YhcYOdONCN+62I2JESeYbY1ZmnG6HB4JaWOmyuUTAaMoxGFLoXBc8tcsZj6uElPH0TjFKXVYnK57cJ+Z59u3H2DXOdrb9D9vN7+8bewfVQ10DL8Er 8Br44BPYA4fgBLQAAj/BL/Ab/Kmt197VPtZ2J+jqShXzAiyM2v4/H6QEqg==