​ An AC current is given by I = I1 cos ωt + I2 sin ωt. The root mean square current is (a) I1+I2/√2 (b) (I1+I2)^2/2 (c) √I^21+I^22/2

Question

An AC current is given by I = I₁ cos ωt + I₂ sin ωt. The root mean square current is

(a) \(\frac{I_1+I_2}{\sqrt2}\)

I₁+I₂/√2

(b) \(\frac{(I_1+I_2)^2}{2}\)

(I₁+I₂)²/2

(c) \(\sqrt{\frac{I^2_1+I^2_2}{2}}\)

√I²₁+I²₂/2

(d) \(\sqrt{\frac{I^2_1-I^2_2}{2}}\)

√I²₁-I²₂/2

Answer 1

Answer is : (c) \(\sqrt{\frac{I^2_1+I^2_2}{2}}\)