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A 2 muF capacitor, 100 Omega resistor an...

A `2 muF` capacitor, `100 Omega` resistor and 8H inductor are connected in series with an a.c. source. The peak value of emf of the source is 200 V.

What should be the frequency of the a.c. source for which the current drawn in the circuit is maximum?

A

39.8 Hz

B

45 Hz

C

25.6 Hz

D

20.8 Hz

Text Solution

Verified by Experts

The correct Answer is:
a
Current drawn in the circuit will be maximum when the frequency of the a.c. source is equal to the resonant frequency of the circuit.
`f_r = 1/(2pi sqrt(LC))`
`= 1/(2sqrt(8 xx 2 xx 10^(-6))`
`= (10^3)/(8 pi) = 39.8 Hz`
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