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Find the magnetic field at the origin in...

Find the magnetic field at the origin in the fig. Shown in fig.

A

`(mu_(0)I)/(4R)(3/4 hat(k)+1/(pi)hat(j))`

B

`(mu_(0)I)/(4R)(3/2 hat(k)+1/(pi)hat(j))`

C

`(mu_(0)I)/(4R)(3/4 hat(k)+1/(2 pi)hat(j))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`B_(C) = B_(1)+B_(2)+B_(3)+B_(4)+B_(5)+B_(6)B_(7)`

`= 0+(mu_(0))/(4 pi) (I)/(R) (pi)/(2) hat(k)+0+(mu_(0))/(4 pi) (I)/(2R) (pi)/(2) hat(k)+0+(mu_(0))/(4 pi)(I)/(R) hat(j)`.
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