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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

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