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Problem 05 In R Out For the circuit above, answer the following questions. 1. Derive the formula for the transfer function angular resonant frequency omega_res (enter the right hand side part of the formula only) Use exactly same notations for L,C and R as in the circuit diagram. Hints for solving the problem. (1) Ignore trivial solution omega_res 0 (2) In case obtaining the resonant frequency using the condition imag(H)0 fails, try finding the resonant frequency using impedance resonance: imag(Z)0 Hints for entering formula 1) use multiplication symbol * explicitly; do not write LC for L*C 2) to enter square root of variable X, use either sqrt(X) or X(1/2) omega-res = Submit Answer Tries 0/5 2. Find the value of the resonant frequency fr (NOT the angular frequency) if the circut parameters are R=155 Ohm, C=1 uF ("u"-micro), L= 2 mH; (Unit: Hz) Submit Answer Tries 0/3 Problem 06 し2 R3 V The circuit above has the folloiwng prameters: R= 195 Ohm, C=0.5 uF ("u"-micro), L1 = 5 mH, L2-3 mH; 1. Find the resonant frequency fr (Unit: Hz; note: NOT the angular frequency) Hint: you can find the fr using the folloiwng steps (1) find the transfer function H using any technique (nodal analysis or SPICE simulation) (2) plot the imaginary part of H or the phase of H as a function of frequency (3) find the frequency at which im(H) 0 or angle(H)-0 As an alternative, you can derive the formula for the resonant frequency, either manually or using MATLAb symbolic calculations Submit Answer Tries 0/5 2. Find the magnitude M (in dB) of the transfer function at the resonant frequency fr Hint: you can find M using similar steps as in part 1. As an alternative, you can derive the formula for M and substitute om with om_res in it; then calculate M Submit Answer Tries 0/5 Submit All

Answer 1

As per HomeworkLib policy we need to answer only the first question if multiple questions are posted.... Please upload remaining questions separately... Please find the explanation below for 1st question.... Hope you understand... Thanks in advance....

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