A) \[120\,\,V,\,\,100\,\,Hz\]
B) \[120/\sqrt{2}V,\,\,100\,\,Hz\]
C) \[60\,\,V,\,\,200\,\,Hz\]
D) \[60\,\,V,\,\,100\,\,Hz\]
Correct Answer: D
Solution :
The standard equation for \[AC\] supply voltage is given by \[V={{V}_{0}}\sin \omega t\] ? (i) Given,\[V=120\sin 100\pi t\cos 100\pi t\] \[V=60[2\sin 100\pi t\cos 100\pi t]\] Using formula\[\sin 2\theta =2\sin \theta \cos \theta \], we get \[V=60\sin 200\pi t\] ... (ii) Comparing Eqs. (i) and (ii), we get \[{{V}_{0}}=60\,\,V,\,\,\omega =2\pi n=200\pi ,\,\,n=100\,\,Hz\]
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