What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)
Practice Questions
1 question
Q1
What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)
πr²I
2πrI
Ir²
πrI
The magnetic moment (μ) of a circular loop is given by μ = I × A, where A is the area of the loop. For a circular loop, A = πr², thus μ = I × πr² = πr²I.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)
Solution: The magnetic moment (μ) of a circular loop is given by μ = I × A, where A is the area of the loop. For a circular loop, A = πr², thus μ = I × πr² = πr²I.
Steps: 6
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.
