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If E=100sin(100t) volt and I=100sin(100t+π3)mA are the instantaneous values of voltage and current, then the r.m.s. values of voltage and current are respectively

a
70.7 V,70.7 mA
b
70.7 V,70.7 A
c
141.4 V,141.4 mA
d
141.4 V,141.4 A

detailed solution

Correct option is A

The Instantaneous value of voltage is E=100sin(100t)V We get E0=100 V,ω=100rads−1 The rms value of voltage is Erms=E02=1002 V=70.7 V The instantaneous value of current is I=100sin(100t+π3)mA Compare it with I=I0sin(ωt+ϕ) we get I0=100 mA,ω=100rads−1 The rms value of current is Irms=I02=1002mA=70.7 mA

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