Question: In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
Options:
I0/√2
I0
2I0
I0/2
Correct Answer: I0/√2
Exam Year: 2021
Solution:
The RMS value of a cosine function is I0/√2.
In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS
Practice Questions
Q1
In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
I0/√2
I0
2I0
I0/2
Questions & Step-by-Step Solutions
In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
Step 1: Understand that I(t) = I0 cos(ωt) represents the current in an AC circuit, where I0 is the maximum current.
Step 2: Know that RMS stands for Root Mean Square, which is a way to calculate the effective value of an AC current.
Step 3: Remember that the RMS value of a cosine function is calculated using the formula: RMS = I0 / √2.
Step 4: Apply the formula to find the RMS current: RMS current = I0 / √2.
RMS Current Calculation – The RMS (Root Mean Square) value of an alternating current is a measure of the effective value of the current, which for a cosine function is calculated as the peak current divided by the square root of 2.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
