12–45 This problem looks at the effect of an inductor’s parasitic resistance on the circuit’s performance.

(a) Consider the circuit in Figure P12–45. Find the circuit’s transfer function TðsÞ =V2ðsÞ=V1ðsÞ. Let RP = 0 (an inductor without a parasitic resistance) and find the transfer function of the circuit with ideal components.How is the transfer function altered by the parasitic resistance? In general, describe how the poles and zeroes are affected by the parasitic resistance.

(b) Use Multisim to simulate the ac gain performance of the circuit with and without the parasitic resistance if R1 =50 Ω, RP =20 Ω, L= 100 mH, C =0:016 μF. Find Q, B, and ω0 for each case. Comment on the effect of the parasitic resistance on the circuit’s performance with respect to these three parameters.

Transcribed Image Text:

V(s) +1 R ww + Ls V(8) Rp FIGURE P12-45