An alternating current is represented by i = I₀(sinωt + cosωt). What is the RMS value of this current over a complete cycle?
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An alternating current is represented by i = I₀(sinωt + cosωt). What is the RMS value of this current over a complete cycle?

G1 Physics · Accepted Answer

Using sinωt + cosωt = √2 sin(ωt + 45°), the peak current is √2 I₀. Hence, Iᵣₘₛ = (√2 I₀)/√2 = I₀.