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A current carrying wire is placed in the...

A current carrying wire is placed in the grooves of an insulating semicircular disc of radius 'R', as shown in Fig. The current enters at point A and leaves from point B. Determine the magnetic field at Point D.

A

`(mu_(0)i)/(8pi Rsqrt(3))`

B

`(mu_(0)i)/(4pi Rsqrt(3))`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`r_(1)=2R sin 30^(@)=R, r_(2)=2R sin 60^(@)=Rsqrt(3)`

`B_(D)=B_(AC)+B_(CB)=(mu_0)/(4 pi)[(i)/(r_1)sin phi_(1)] * + (mu_0)/(4 pi)[(i)/(r_1)sin phi_(1)]?`
`(mu_0)/(4 pi)[(sin 60^(@))/(r_1)-(sin 30^(@))/(r_2)] * (mu_(0)i)/(4 pi Rsqrt(3)*`.
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