Using an ac voltmeter, the potential difference in the electrical line in a house is read to be 234 V. If the line freqency is known to be 50 cycles per second, the equation for the line voltage isA. (A) `V=165 sin (100 pi t)`B. (B) `V=331 sin (100 pi t)`C. (C) `V=220 sin (100 pi t)`D. (D) `V=440 sin (100 pi t)`

Using an ac voltmeter, the potential difference in the electrical line

1.	Using an ac voltmeter, the potential difference in the electrical line in a house is read to be 234 V. If the line freqency is known to be 50 cycles per second, the equation for the line voltage isA. (A) `V=165 sin (100 pi t)`B. (B) `V=331 sin (100 pi t)`C. (C) `V=220 sin (100 pi t)`D. (D) `V=440 sin (100 pi t)`
Answer» Correct Answer - B `E=(E_0) sin omega t ` Voltage read is rms value. `:. (E_0)= sqrt(2) xx 234 V =331 V` amd ` omega t = 2 pi f t = 2 pi zz 50 xx t = 100 pi t ` Thus, the equation of the line voltage is given by `E=331 sin (100 pi t)`.

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