"1. Consider the circuit shown below The transfer function for the above circuit ? can be expressed in the following form? ( ? ) ? ? ? ( ? ) ( ? ) ? = = ? [ ]? ? ( ? ) ( ?? ? ) ? ? ? ( ? ) ( ? ) Assume that the reference state for each capacitor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function?? ( ? ) 2 . Consider the circuit shown below The transfer function for the above circuit ? can be expressed in the following form? ( ? ) ? ? ? ( ? ) ( ? ) ? = = ? [ ]? ? ( ? ) ( ?? ? ) ? ? ? ( ? ) ( ? ) Assume that the reference state for each capacitor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function 3. Consider the circuit shown below. The transfer function for the above circuit ? can be expressed in the following form? ( ? ) ? ? ? ( ? ) ( ? ) ? = = ? [ ]? ? ( ? ) ( ?? ? ) ? ? ? ( ? ) ( ? ) Assume that the reference state for each inductor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function 1. Consider the circuit shown below The transfer function for the above circuit ? can be expressed in the following form? (? ) ? ? ? (? ) (? ) ? = =? [ ]? ? (? ) (??? ) ? ? ? (? ) (? ) Assume that the reference state for each capacitor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function?? (? ) The general transfer function of an Open circuited elements? ? 1 + ? ? = ? ×(? ) 8(? ) ? ? 1 + ? Where ? Is the transfer function with the extra element present.(? ) ? Is the transfer function with the extra element short circuited.8(? ) ? ? = |? ? =0 ? ? ? ? = |? ? =0 1 ? ? Impedance of the system when the output voltage is zero? ? Impedance seen from the extra element when the input voltage is zero? Z Impedance of the extra element Open circuiting ?? / / ? = ( ? //? +1 ?? )// 1 ??? 1 2 3 5 ? = ? +?? 1 2 / Z=1 ??4 / / ? = ( ? //1 ?? )+(? // 1 ? ? )( ) 8 ? 1 3 2 5 ? +? 1 2 1+ 1/?? 4 ? = ( ? //1/?? )+(? // 1/?? )×( ) ? 1 3 2 5 ( ? //? +1/?? )// 1/?? 1 2 3 5 1+ / 1 ?? 4 Open circuiting ?? ? = (( ? +1/?? )// ? )+ 1/??? 1 4 2 5 ? = 1/?? +?? 5 2 Z=1/??3 ? = ( ? ? //1/?? )// 1/??8(? ) 1 2 4 5 1/?? +? 5 2 1+ 1/?? 3 / / ? = ( ? ? //1 ?? )// 1 ?? )×( ) ? 1 2 4 5 (( ? +1/?? )// ? )+ 1/?? 1 4 2 5 1+ 1/?? 3 Open circuiting ?? / / ? = (( ? //1 ?? )//+? )//1 ??? 2 3 1 4 / ? = 1 ?? +?? 3 2 / Z=1 ??5 / / ? = ( ? //1 ?? )+? )// 1 ??8(? ) 1 3 2 4 1/?? +? 3 2 1+ / 1 ?? 5 ? = (? //1/?? )+? )// 1/?? )×( ) ? 3 2 4 (( ? //1/?? )//+? )//1/?? 1 2 3 1 4 1+ / 1 ?? 52. Consider the circuit shown below The transfer function for the above circuit ? can be expressed in the following form? (? ) ? ? ? (? ) (? ) ? = =? [ ]? ? (? ) (??? ) ? ? ? (? ) (? ) Assume that the reference state for each capacitor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function? ? 1 + ? ? = ? ×( ) ( ) ? 8 ? ? ? 1 + ? Where ? Is the transfer function with the extra element present.( ) ? ? Is the transfer function with the extra element short circuited.8(? ) ? ? = |? ? =0 ? ? ? ? = |? ? =0 1 ? ? Impedance of the system when the output voltage is zero? ? Impedance seen from the extra element when the input voltage is zero? Z Impedance of the extra elementTaking each capacitor as an open circuit Open circuiting ?? / ? = ? //(1 ?? )+? )? 1 2 2 / ? = 1 ?? +?? 2 2 Z=1/??1 ? = ( ? +1/?? )//?( ) 8 ? 1 2 2 1/ +? 2 2 1+ 1/ 1 ? = ( ? +1/?? )//? ×(? ) 1 2 2 / ( ? //(1 )+? ) 1 2 2 1+ 1/ 1 Open circuiting ?? ? = (? //1/?? )//? )? 1 1 2 ? = 1/?? +?? 1 2 Z=1/??2 ? = ( ? //1/?? )//?( ) 8 ? 1 1 2 1/ +? 1 2 1+ 1/ 2 / ? = ( ? +1 ?? )//? ×( ) ? 1 1 2 ( ? //(1/ )+? ) 1 1 2 1+ 1/ 2 ?? ?? ?? ?? ?? ?? ?? ??Consider the circuit shown below. The transfer function for the above circuit ? can be expressed in the following form? (? ) ? ? ? (? ) (? ) ? = =? [ ]? ? (? ) (??? ) ? ? ? (? ) (? ) Assume that the reference state for each inductor is an open circuit. Using the n Extra Element Theorem (nEET), derive an expression for the transfer function? ? 1 + ? ? = ? ×(? ) 8(? ) ? ? 1 + ? Where ? Is the transfer function with the extra element present.(? ) ? Is the transfer function with the extra element short circuited.( ) 8 ? ? ? = |? ? =0 ? ? ? ? = |? ? =0 1 ? ? Impedance of the system when the output voltage is zero? ? Impedance seen from the extra element when the input voltage is zero? Z Impedance of the extra element Taking each inductor as an open circuitOpen circuiting ?? ? = (? + ?? )//1/?? //? ? 2 2 3 2 ? = ?? +?? 2 2 Z=??1 ? = ( ? +?? )// 1/?? //?8(? ) 2 2 3 2 +? 2 2 1+ 1 ? = ( ? +1/?? )//? ×( ) ? 1 2 2 ( ? + )//(1/ //?) 2 2 3 2 1+ 1 Open circuiting ?? ? = (? + ?? )//1/?? //? ? 1 1 3 3 ? = ?? +?? 1 2 Z=??2 ? = ?? // 1/?? //? ( ) 8 ? 1 3 3 ?? + ? 2 1 1 + ?? 2 ? = ?? // 1/?? //? ×( ) ? 1 3 3 / ( ? + ?? )// 1 ?? //? 1 1 3 3 1 + ?? 2 ?? ?? ?? ?? ??"