Question

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

• A. $V=165\sin \left(100\pi t\right)$
• B. $V=331\sin \left(100\pi t\right)$
• C. $V=220\sin \left(100\pi t\right)$
• D. $V=440\sin \left(100\pi t\right)$

Answer 1

The correct option is B $V=331\sin \left(100\pi t\right)$

Potential read is rms value.
Equation of voltage = $234\sqrt{2}sin\left(2\pi 50t\right)=331sin\left(100\pi t\right)$