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R.M.S value of the sinusoidal waveform v(t)=211sin(7.25t+7π÷78.3).

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R.M.S value of the sinusoidal waveform v(t)=211sin(7.25t+7π÷78.3).

(a) 149.19 V

(b) 156.23 V

(c) 116.57 V

(d) 178.64 V

I have been asked this question by my school teacher while I was bunking the class.

My question is based upon Induction Motors in chapter Speed Control of Direct Current Motors & Induction Motors of Electric Drives

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The correct option is (a) 149.19 V

To explain: R.M.S value of the sinusoidal waveform is Vm÷2^½ = 211÷2^½ = 149.19 V and r.m.s value of the trapezoidal waveform is Vm÷3^½. The peak value of the sinusoidal waveform is Vm.

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