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Question

Physics Question on Alternating current

A coil of inductance 0.1H is connected to 50V, 100Hz generator and current is found to be 0.5A. The potential difference across resistance of the coil is

A

15V

B

20V

C

25V

D

39V

Answer

39V

Explanation

Solution

I=EZ;0.5=50ZZ=100ΩI=\frac{E}{Z};0.5=\frac{50}{Z}Z=100 \Omega Z2=R2+ω2L2,thenR=78ΩZ^2 =R^2+\omega^2L^2,then\,R=78 \Omega NowVR=VLR2VL2=23VNow\,V_R=\sqrt{V^2_{LR}-V^2_L}=23V [VR2+VLR2][V^2_R+V^2_{LR}]