For the circuit given below, the driving point impedance is given by, Z(s) = \(\frac{0.2s}{s^2+0.1s+2} \). The component values are _________(a) L = 5 H, R = 0.5 Ω, C = 0.1 F(b) L = 0.1 H, R = 0.5 Ω, C = 5 F(c) L = 5 H, R = 2 Ω, C = 0.1 F(d) L = 0.1 H, R = 2 Ω, C = 5 FI got this question in a job interview.The origin of the question is Advanced Problems on Network Theorems in section Useful Theorems in Circuit Analysis of Network Theory

For the circuit given below, the driving point impedance is given by,

1.	For the circuit given below, the driving point impedance is given by, Z(s) = \(\frac{0.2s}{s^2+0.1s+2} \). The component values are _________(a) L = 5 H, R = 0.5 Ω, C = 0.1 F(b) L = 0.1 H, R = 0.5 Ω, C = 5 F(c) L = 5 H, R = 2 Ω, C = 0.1 F(d) L = 0.1 H, R = 2 Ω, C = 5 FI got this question in a job interview.The origin of the question is Advanced Problems on Network Theorems in section Useful Theorems in Circuit Analysis of Network Theory
Answer» Correct choice is (d) L = 0.1 H, R = 2 Ω, C = 5 F The explanation is: Dividing point impedance = R \|\| sL \|\| \(\frac{1}{sC} \) = \(\BIG\{\frac{(R)(\frac{1}{sC})}{R + \frac{1}{sC}}\Big\}\) \|\| sL = \(\frac{\frac{R}{1+sRC}}{\frac{R}{1+sRC}+sL} \) = \(\frac{sRL}{s^2 RLC+sL+R} \) GIVEN that, Z(s) = \(\frac{0.2s}{s^2+0.1s+2} \) ∴ On comparing, we GET L = 0.1 H, R = 2 Ω, C = 5 F.

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