Question

The magnetized wire of magnetic moment M is bent into an arc of a circle that subtends an angle of 60 at the center. The equivalent magnetic moment is ?

Answer 1

Hey mate,

◆ Answer- 3M/π

◆ Explanation-
# Given-
θ = 60°

# Solution-
Resultant magnetic moment of a wire bent into arc of circle subtending angle θ at centre is given by-
M' = 2Msin(θ/2) / θ

Substituting values-
M' = 2Msin30 / π/3
M' = 3×2×M×1/2 / π
M' = 3M/π

Hence, equivalent magnetic moment of a wire will be 3M/π.

Hope that is all...

Answer 2

Answer:

Explanation: No need of hefty formulas

Just remember this M=m L

Now, in this case, using R∅=L

R= 3L/π

Now, M'= m R

Substitution, we get M'=3M/π