Question: If the current in an AC circuit is given by I(t) = I0 cos(ωt), what is the RMS current? (2023)
Options:
I0/√2
I0
2I0
I0/2
Correct Answer: I0/√2
Exam Year: 2023
Solution:
RMS current I_rms = I0/√2 for a cosine function.
If the current in an AC circuit is given by I(t) = I0 cos(ωt), what is the RMS c
Practice Questions
Q1
If the current in an AC circuit is given by I(t) = I0 cos(ωt), what is the RMS current? (2023)
I0/√2
I0
2I0
I0/2
Questions & Step-by-Step Solutions
If the current in an AC circuit is given by I(t) = I0 cos(ωt), what is the RMS current? (2023)
Step 1: Understand that I(t) = I0 cos(ωt) represents the current in an AC circuit, where I0 is the peak current.
Step 2: Recognize that RMS (Root Mean Square) current is a way to express the effective value of an AC current.
Step 3: For a cosine function, the formula to find the RMS current is I_rms = I0 / √2.
Step 4: Substitute I0 into the formula to calculate the RMS current.
RMS Current Calculation – The root mean square (RMS) current for a sinusoidal waveform is calculated using the peak current (I0) divided by the square root of 2.
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