What is the magnetic moment of a circular loop of radius r carrying a current I?

What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)

What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)

Step 1: Understand that the magnetic moment (μ) is a measure of the strength of a magnetic source.
Step 2: Know that for a circular loop carrying a current, the magnetic moment is calculated using the formula μ = I × A.
Step 3: Identify that A is the area of the circular loop.
Step 4: Calculate the area (A) of the circular loop using the formula A = πr², where r is the radius of the loop.
Step 5: Substitute the area (A) back into the magnetic moment formula: μ = I × πr².
Step 6: Simplify the expression to get the final formula for the magnetic moment: μ = πr²I.

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