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Question: An alternating current source of frequency 100 Hz is joined to a combination of a resistance, a capa...

An alternating current source of frequency 100 Hz is joined to a combination of a resistance, a capacitance and a coil in series. The potential difference across the coil, the resistance and the capacitor is 46, 8 and 40 volt respectively. The electromotive force of alternating current source in volt is

A

94

B

14

C

10

D

76

Answer

10

Explanation

Solution

VC=40voltsV_{C} = 40volts, VR=8voltsV_{R} = 8volts

E.M.F. of source

V=82+(4640)2=10voltsV = \sqrt{8^{2} + (46 - 40)^{2}} = 10volts