The instantaneous value of emf and current in an A-C- circuit are- E-1-414sin 100- t-4 - I-0-707sin100- t- The RMS value of emf will be

The correct option is B 1 V E_rms = E_max√(2) = 1.414√(2) = 1 V ...

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Direct Current vs. Alternating Current

The instantan...

Question

The instantaneous value of emf and current in an A.C. circuit are; $E = 1.414 s i n (100 π t - \frac{π}{4})$ , $I = 0.707 s i n (100 π t)$ . The RMS value of emf will be

2 \sqrt{2} V

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1 V

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\frac{1}{2} V

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\frac{1}{2 \sqrt{2}} V

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Solution

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E = 1.414 s i n (100 π t - \frac{π}{4})

I = 0.707 s i n (100 π t)

E = 1.414 s i n (100 π t - \frac{π}{4})

I = 0.707 s i n (100 π t)

E = 1.414 s i n (100 π t - \frac{π}{4})

I = 0.707 s i n (100 π t)

I = \frac{1}{\sqrt{2}} s i n

E = \sqrt{2} s i n (314 t - \frac{Π}{6})

= 200 sin (ω t - \frac{π}{3});

= 10 sin (ω t + \frac{π}{6})

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