Obtain the transfer function G21 (s) in the circuit shown below.(a) (8 S+2)/(8 S+1)(b) (8 S+2)/(8 S+2)(c) (8 S+2)/(8 S+3)(d) (8 S+2)/(8 S+4)I got this question by my school teacher while I was bunking the class.Enquiry is from Network Function for the One-Port and Two-Port in chapter S-Domain Analysis of Network Theory

Obtain the transfer function G21 (s) in the circuit shown below.(a) (8

1.	Obtain the transfer function G21 (s) in the circuit shown below.(a) (8 S+2)/(8 S+1)(b) (8 S+2)/(8 S+2)(c) (8 S+2)/(8 S+3)(d) (8 S+2)/(8 S+4)I got this question by my school teacher while I was bunking the class.Enquiry is from Network Function for the One-Port and Two-Port in chapter S-Domain Analysis of Network Theory
Answer» RIGHT option is (d) (8 S+2)/(8 S+4) Explanation: From the CIRCUIT, the parallel combination of resistance and capacitance can be combined into equivalent in impedance. Zeq(S) = 1/(2 S+1/2)=2/(4 S+1). Applying Kirchhoff’s laws, we have V2 (S) = 2 I1(S) => V1 (S) = I1 (S)[2/(4 S+1)+2] = I1 (S)[(8 S+4)/(4 S+1)] The transfer function G21 (s) = V2(s)/V1(s) = 2 I1(S)/((8 S+4)/(4S+1))I1(S) = (8 S+2)/(8 S+4).

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