Problem 26.30 A 19 nF capacitor is connected across an AC generator that produce

Question

Problem 26.30

A 19 nF capacitor is connected across an AC generator that produces a peak voltage of 4.0 V.

Part A

At what frequency f is the peak current 57 mA ?

Express your answer using two significant figures.

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Part B

What is the instantaneous value of the emf at the instant when iC=IC?

Express your answer using two significant figures.

Problem 26.30

A 19 nF capacitor is connected across an AC generator that produces a peak voltage of 4.0 V.

Part A

At what frequency f is the peak current 57 mA ?

Express your answer using two significant figures.

f = Hz

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Part B

What is the instantaneous value of the emf at the instant when iC=IC?

Express your answer using two significant figures.

V = V

Explanation / Answer

Vc = ( 1/(2**f*C) ) * Im

=> Vc/Im = ( 1/(2**f*C) )

=> Im/Vc = 2**f*C

=>   f = (Im/Vc)*(1/(2**C))

= (57*10^-3 / 4)*(1 / (2**(19*10^-9)) =   119366.20 = 11.93*10^4 Hz

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