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Q.

Using an ac voltmeter, the potential difference in the electrical line in a house is read to be 234 V. If the line frequency is known to be 50 cycles per second, the equation for the line voltage is

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a

V=165 sin 100 πt

b

V=331 sin 100 πt

c

V=220 sin 100 πt

d

V=440 sin 100 πt

answer is B.

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Detailed Solution

E=E0 sin ωtVoltage read is rms value.∴E0=2×234 V = 331 Vand ω=2πft=2π×50×t=100πtThus, the equation of the line voltage is given byE=331 sin100πt

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