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A current i ampere flows in a circular a...

A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at its centre. The magnetic induction `B` at the centre is

A

`(mu_(0)i)/R`

B

`(mu_(0)i)/(2R)`

C

`(2mu_(0)i)/R`

D

`(3 mu_(0)i)/(8R)`

Text Solution

Verified by Experts

The correct Answer is:
D

`B=(mu_(0))/(4pi)((2pi- theta)i)/R=(mu_(0))/(4pi)((2pi-pi/2)xxi)/R=(3mu_(0)i)/(8R)`
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