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Find the magnitude of magnetic moment f...

Find the magnitude of magnetic moment for the current loop as shown alongside, if R=0.5 m and I =1A.

Text Solution

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Given, R=0.5 m, I=A
M=?
Magnetic moment, `M=IA =I[pi (r_(2)^(2) -r_(1)^(2))]`
`=[pi((0.5)^(2)-((0.5)/(2))^(2))] =pi(0.25 -(0.25)/(4))`
`=pi((1.0-0.25)/(4))`
`=0.589"A-m"^(2)`
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