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A voltage of peak value 283 V and varyin...

A voltage of peak value 283 V and varying frequency is applied to series LCR combination in which `R=3Omega, L=25 mH` and `C=400 mu F`. Then the frequency (in Hz) of the source at which maximum power is dissipated in the above is

A

51.5

B

50.7

C

51.1

D

50.3

Text Solution

Verified by Experts

The correct Answer is:
D
Here `V_0 =283 V, R = 3 Omega , L = 25 xx 10^(-3) H, C = 400 mu F = 4 xx 10^(-4) F`
Maximum power is dissipated at resonance , for which
` v = (1)/(2pi sqrt(LC)) = (1xx 7)/(2 xx 22 sqrt(25 xx 10^(-3) xx 4 xx 10^(-4)) )`
` = (7 xx 10^3)/(44 sqrt10) = 50.3 Hz `
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