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

Question

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

MARKS App · Accepted Answer

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

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