Question

lin(t) © İout(t){R BL=0 Given R, L and C. a) Calculate the magnitude and phase of the frequency response as a function of angular frequency. b) Calculate the half-power angular frequencies. c) Graph the magnitude and phase of the frequency response as a function of angular frequency

Answer 1

Answer

a) This is parallel RLC resonant tank circuit.

-> Current in Resistor is opposite to the branch current therfore io(t) will be 180 phase shift with iin(t)

-> io(t) is calculated by making s-domain equivalent circuit and using current division rule.

-> Transfer function H(w) = Io(w)/Iin(w) is caluculated replacing s by jw

b) Resoanant frequency and half power frequencies also caluclated

-> Half power frequeny is the frequency at which gain becomes 1/$\sqrt{2}$ times of maximum .

c) Magnitude and phase also plotted as a function of angular frequency.

** Detail Solution is attached here.

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