Question

1. The following is a lumped model for an antenna. The input is vin and we are interested in the current through the inductor, iout. 0.5 F 0.5 H 0.5 Ω + − vin iout (a) Find the transfer function G(s) = Iout(s) Vin(s) (b) Use the linear approximation rules to sketch the Bode Plot for G(s). (c) According to your sketch, what is the steady state output if the input is vin(t) = cos(10t)?

Answer 1

(a)
`G(s) = (i_(out(s)))/(v_(in)(s)) = (2S)/(S^2+4S+4)`

(b) see plot in the attached explanation.

(c)
`i_(out)(t) = 0.2 Cos(10t-63)`

Step-by-step explanation:

See attached solution a to c