Question Detail

PHY 102 Test Compilation PHY 102 14 Objective Question
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Question

The equation of a sinusoidal waveform is given by I = 15sin(ωt). Calculate the r.m.s value of current.
Options
A 21.7 A
B 15.8 A
C 10.6 A
Correct Answer
D 7.5 A
Correct Answer

Option C is the correct answer.

Detailed Explanation

For a sinusoidal alternating current, the peak current (Ipeak) is the amplitude of the sine function. In I = 15sin(ωt), Ipeak = 15 A. The RMS (Root Mean Square) value of current (IRMS) is given by IRMS = Ipeak / √2.IRMS = 15 A / √2 ≈ 15 / 1.414 ≈ 10.607 A.Rounding to one decimal place, IRMS = 10.6 A. The time 't=5s' mentioned in the original question is irrelevant for the RMS value calculation.

Hint

Remember the relationship between peak and RMS values for a sinusoidal waveform.

Question Info

Course: PHY 102
Topic: Test Compilation PHY 102 14
Type: Objective
Difficulty: Not specified
Question 1009 of 1819
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