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Question

Physics Question on Alternating current

A series LCR circuit has
L=0.01H,R=10Ω and C=1µFL = 0.01H, R = 10Ω\ and\ C = 1µF
and it is connected to ac voltage of amplitude (Vm)50 V. At frequency 60% lower than resonant frequency, the amplitude of current will be approximately

A

466 mA

B

312 mA

C

238 mA

D

196 mA

Answer

238 mA

Explanation

Solution

The correct answer is (C) : 238 mA
ω = 0.4 ω0....(i)
I=VZ=50R2+(ωL1ωC)2...(ii)⇒ I = \frac{V}{Z} = \frac{50}{\sqrt{R^2+(ωL-\frac{1}{ωC})^2}}...(ii)
⇒ I = 238 mA