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 = Ipeaksin(ωt), the Root Mean Square (RMS) value of the current is given by Irms = Ipeak / √2. In this equation, Ipeak = 15A.Irms = 15 / √2 ≈ 15 / 1.414 = 10.606 A. The time t = 5s is irrelevant for finding the RMS value.
Hint
Remember the relationship between peak and RMS values for sinusoidal AC waveforms. The RMS value is a time-averaged characteristic, not dependent on instantaneous time.