Question

What is the correct expression for the rms value of current?

(a) Irms=Im/2

(b) Irms=Im/√2

(c) Irms=Im/4

(d) Irms=Im

This question was posed to me in unit test.

My question is taken from Average and RMS Values of Sinusoidal & Non-Sinusoidal Currents and Voltages topic in portion Alternating Voltage and Current of Basic Electrical Engineering

Answer 1

Right answer is (b) Irms=Im/√2

To explain: Irms^2 = ∫0^πdθ i^2/2π = Im^2/2

Irms=Im/√2.