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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 sec

B

1.0 sec

C

0.25 sec

D

0.75 sec

Text Solution

Verified by Experts

The correct Answer is:
C
`phi_B = BA cos 60^@`
`= 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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