An alternating current is given by i = i 1 cos ωt + i 2 sin ωt . The value of rms current is

Step-by-step solution

i = i 1 cos ωt + i 2 sin ωt i 2 mean = i 1 2 cos 2 ωt ¯ + i 2 2 sin 2 ωt ¯ + i 1 i 2 cos ωt sin ωt ¯ i 1 2 × 1 2 × i 2 2 × 1 2 + 2 i 1 i 2 × 0 i rms = i 2 mean = i 1 2 + i 2 2 2