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A conducting ring of mass 2kg and radius...

A conducting ring of mass 2kg and radius `0.5m` is placed on a smooth plane. The ring carries a current of `i=4A`. A horizontal magnetic field `B=10 T` is switched on at time `t=0` as shown in fig The initial angular acceleration of the ring will be
.

A

`40pirad s^-2`

B

`20pirad s^-2`

C

`5pirad s^-2`

D

`15pirad s^-2`

Text Solution

Verified by Experts

The correct Answer is:
a
Due to torque of magnetic field, ring will rotate about vertical
diameter. `tau=Ialphaimplies MB=Ialpha`
`implies ipir^2B=1/2mr^2alpha`
`implies alpha=(2iBpi)/m=(2xx4xx10pi)/2=40pi rads^-2`
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