Current in circuit varies with time as i = 5√ 2 + 10 cos (ωt + π/6), then rms current in the circuit shall be ____ A.

Question

Current in circuit varies with time as \( i = 5\sqrt{2} ++ 1-\cos \left( \omega t + \frac{\pi}{6}\right)\)then rms current in the circuit shall be ____ A.

Answer 1

Answer is : 10

\(i = i_1+ i_2\sin \theta\)

\(\Rightarrow i^2 = i_1^2+ i_2^2 \sin ^2 \theta + 2i_1i_2\sin \theta\)

Taking average both side