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Question

Physics Question on Alternating current

A120 V, 60Hz a.c. power is connected 800Ω800\Omega non-inductive resistance and unknown capcitance in series. The voltage drop across the resistance is found to be 102V, then voltage drop across eapacitor is

A

8V

B

102V

C

63V

D

55V

Answer

63V

Explanation

Solution

V2=Vc2:Vc2=V2VR2V^2=V^2_c:V^2_c=V^2-V^2_R Vc2=(120)2(120)2;Vc=63VV_c^2=(120)^2-(120)^2;V_c=63V