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

Options

A. `mu_(0)i//R`
B. `mu_(0)i//2R`
C. `2mu_(0)i//R`
D. `3mu_(0)i//8R`

Answer

D

Explanation

`B=(mu_(0)i)/(4piR)xx(3pi)/2=(3mu_(0)i)/(8R)`