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Question

A voltage of peak value 283 V and varying frequency is applied to a series LCR combination in which R=3 Ω;L=25 mH and C=400 μF. Then, the frequency (in Hz) of the source at which maximum power is dissipated in the above, is
  1. 51.6
  2. 50.7
  3. 51.1
  4. 50.3


Solution

The correct option is D 50.3
Given
V0=283 V              R=3 Ω
L=25×103 H     C=400×106 F
For maximum power XL=XC
ωC=1ωLω2=1LC
ω=1LC
f=ω2π=12πLC
=12×3.14×125×103×400×106=50.3

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