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Question

Physics Question on AC Voltage

The voltage of an A.C. source varies with time according to the equation V=50sin100πtcos100πtV=50\, \sin\,100\pi\,t\,\cos\,100\pi\,t . Where 't' is the sec and 'V' is in volts. Then

A

The peak voltage of the source is 100 V

B

The peak voltage of the source is 100/2100 / \sqrt2

C

The peak voltage of the source is 25 V

D

The frequency ofthe source is 50 HZ

Answer

The peak voltage of the source is 25 V

Explanation

Solution

V=50×2sin100πtcos100πt=50sin200πtV = 50 \times 2 \, \sin \, 100 \pi \, t \cos \, 100 \pi \, t = 50 \sin 200 \pi t V0=50Volts\Rightarrow \, \, V_0 = 50 \, Volts and ν=100Hz\nu =100 \, Hz