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A rectangular toroid has 1000 turns. The...

A rectangular toroid has 1000 turns. The ratio of the outer to inner diameter is 1.6 and its height is 5.0 cm. Find the flux through this toroid, if current passing through it is 1.7 A.

A

`8 muWb`

B

`6 muWb`

C

`8 Wb`

D

`6Wb`

Text Solution

Verified by Experts

The correct Answer is:
A

`B=(mu_(0)NI)/(2pir)`
Now magnetic flux in a strip of thickness dr and heigth h is gives as
`dphi=Bdr.h=(mu_(0)NIhdr)/(2pir)`
So, `phi=int_(r_(1))^(r_(2))(mu_(0)NIhdr)/(2pir)=(mu_(0)NIh)/(2pi) (log) r_(2)/r_(1)=8mu Wb`
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