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Question: r.m.s. value of alternating current in a circuit is 4 A and power factor is 0.5. If the power dissip...

r.m.s. value of alternating current in a circuit is 4 A and power factor is 0.5. If the power dissipated in the circuit is 100W, then the peak value of voltage in the circuit is

A

50 volt

B

70 volt

C

35 volt

D

100 volt

Answer

70 volt

Explanation

Solution

P=VrmsirmscosϕP = V _ { r m s } i _ { r m s } \cos \phi100=Vrms×4×0.5100 = V _ { r m s } \times 4 \times 0.5

Vrms=50 VV _ { r m s } = 50 \mathrm {~V} so