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A current carrying circular loop of radi...

A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with `xgt0` is now bent so that it now lies in the y-z plane.

A

The magnitude of magnetic moment now diminishes.

B

The magnetic moment does not change.

C

The magnitude of B at `(0,0,z),zgtgtR` increases.

D

The magnitude of B at `(0,0,z),zgtgtR` is unchanged.

Text Solution

Verified by Experts

The correct Answer is:
A
As the direction of magnetic field due to current carrying circular loop is perpendicular and it is perpendicular to plane of loop and unidirectional. Magnetic moment (magnitude),
`M=IA=I(pir^(2))`

When ring is bent, dipole moment for each part,
`M.-Ipi(r/2)^(2)" "[becausem=IA]`
`M.=(Ipir^(2))/4`
Resultant magnetic moment for both circular ring,
`M_("net")=sqrt((M.)^(2)+(M.)^(2))=sqrt2M.=sqrt2(Ipir^(2))/4`
Thus, `M_("net")ltM`
Thus, resultant moment will decrease.
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