A) 1 V
B) 5 V
C) 10 V
D) \[5\sqrt{3}V\]
Correct Answer: D
Solution :
Instantaneous value of E is given by \[E={{E}_{0}}\cos \omega t\] Here: \[{{E}_{0}}=10\,\text{volt,}\]\[t=\frac{1}{600}\sec ,\] \[f=50\,Hz\] \[\therefore \] \[E={{E}_{0}}\cos \frac{2\pi t}{T}\] or \[E=10\cos \frac{2\pi \times 50\times 1}{600}\] \[=10\,\cos \frac{5\pi }{3}\times \frac{1}{10}\] \[=10\,\cos \frac{\pi }{6}\] \[=10\cos {{30}^{o}}\] \[=10\times \frac{\sqrt{3}}{2}\] \[=5\sqrt{3}\,\text{volt}\text{.}\]You need to login to perform this action.
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