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A long solenoid of radius R carries a ti...

A long solenoid of radius R carries a time (t) – dependent current `I=I_(0)(t-2t^(2))` A circular ring of radius = R is placed near the centre of the solenoid and plane of ring makes an angle `30^(@)` with the axis of solenoid. The time at which magnetic flux through the ring is maximum is :

A

0.5

B

1.0 sec

C

0.25 sec

D

0.75 sec

Text Solution

Verified by Experts

The correct Answer is:
C

`phi_(B)=BAcos60^(@)`
`=mu_(0)nI_(0)(t-2t^(2))(A)/(2)`
`=(mu_(0)nI_(0)A)/(2)(t-2t^(2))`
For `phi_(B)` to be `max^(m)`
`(dphi_(B))/(dt)=0 implies 1-4t=0 implies t=0.25 sec`.
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