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Question

A periodic waveform f(t)=(23cos10t)2V is given.
Its rms value will be

A
3.61 V
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B
10.80 V
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C
12.42 V
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D
77.18 V
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Solution

The correct option is C 12.42 V

f(t)=(23cos10t)2 V

=4+9cos210t12cos10t

=412cos10t+9(1+cos20t)2

=8.5+4.5cos20t12cos10t V

RMS value, frms=1TT0[f(t)2dt]=8.52+4.522+1222

=72.25+10.125+72

=154.375=12.42 V


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