The LCR circuit in the figure below is driven by a voltage source with V AC = V

Question

The LCR circuit in the figure below is driven by a voltage source with

VAC = Vmax sin(2?ft),

where

Vmax = 12 V,

R = 250 ?,

and

C = 35 nF.

(a) If the resonant frequency is

fres = 91 MHz,

what is L?
H

(b) What is the amplitude (the peak value) of the current when

f = fres?

A

The LCR circuit in the figure below is driven by a voltage source with VAC = Vmax sin(2?ft), where Vmax = 12 V, R = 250 ?, and C = 35 nF. The LCR circuit in the figure below is d (a) If the resonant frequency is fres = 91 MHz, what is L? H (b) What is the amplitude (the peak value) of the current when f = fres? A

Explanation / Answer

a) fo = 1/(2*pi*sqrt(L*c))

L = 1/(4*pi^2*fo^2*C)

= 1/(4*pi^2*(91*10^6)^2*35*10^-9)

= 8.75*10^-11 H

b) at f = fo

Ipeak = Vmax/R

= 12/250

= 0.048 A or 48 mA

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