A) \[\text{V }\!\!~\!\!\text{ = 165 sin (100 }\!\!\pi\!\!\text{ t)}\]
B) \[\text{V=331 sin}\,\text{(100 }\!\!\pi\!\!\text{ t)}\]
C) \[\text{V=220}\,\text{sin}\,\text{(100 }\!\!\pi\!\!\text{ t)}\]
D) \[\text{V=440 sin (100 }\!\!\pi\!\!\text{ t)}\]
Correct Answer: B
Solution :
\[E={{E}_{0}}\,\,\sin \omega t\] Voltmeter read rms value \[\therefore \] \[{{E}_{0}}=\sqrt{2}\times 234V\] \[=331V\] and \[\omega t=2\pi nt=2\pi \times 50\times t\] \[=100\pi t\] Thus, the equation of the line voltage is given by \[E=331\,\,\sin \,(100\pi t)\]
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