Question Detail
Question
The equation of a sinusoidal waveform is given by I = 15sin ωt. Calculate the r.m.s value of current at t = 5s.
Correct Answer
Option C is the correct answer.
Detailed Explanation
For a sinusoidal current I = Ipeak sin(ωt), the RMS value (Irms) is given by Irms = Ipeak / √2. Here, Ipeak = 15 A. So, Irms = 15 / √2 ≈ 15 / 1.414 = 10.606 A. The time 't' (5s) is not required to calculate the RMS value of the current, as it represents the effective value of the current over a period.
Hint
The RMS value of a sine wave is its peak value divided by the square root of 2.