1.

A circular coil with radius 10 cm and 10 no. of tightly wound identical turns is kept perpendicular to uniform magnetic field 2 xx 10^(-4)G intensity. Now, it is rotated with angular velocity 2pi "rad s"^(-1) about an axis passing through it but perpendicular to magnetic field. Then, at ........s, least time magnetic flux passing through it becomes half of maximum magnetic flux.

Answer»

`1/2`
`1/12`
`1/6`
`1/4`

SOLUTION :We have `Phi=NAB COS (OMEGAT)`…(1)
`THEREFORE Phi=Phi_"max" cos (omegat)`…(2)
(Where `Phi_"max"` = maximum magnetic FLUX passing through the coil )
Now , we are given `Phi=1/2Phi_"max"`
`therefore 1/2 Phi_"max"=Phi_"max" cos (omegat)`
`therefore cos (omegat)=1/2`
`therefore omegat =pi/3`
`therefore (2pi)t=pi/3`
`therefore t=1/6s`


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