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The unit vectors hati, hatj and hatk are...

The unit vectors `hati, hatj` and `hatk` are as shown below. What will be the magnetic field at `O` in the following figure

A

`(mu_(0))/(4pi) (i)/(a) (2 - (pi)/(2)) hatj`

B

`(mu_(0))/(4 pi) (i)/(a) (2 + (pi)/(2)) hatj`

C

`(mu_(0))/(4pi) (i)/(a) (2 + (pi)/(2)) hati`

D

`(mu_(0))/(4pi) (i)/(a) (2 + (pi)/(2)) hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
`B = (mu_(0))/(4pi) * (i)/(a) (hatk) + (mu_(0) i)/(4pi a) ((pi)/(2)) hatk + (mu_(0))/(4pi) (i)/( a) (hatk)`
= `(mu_(0))/(4pi ) (i)/(a) [ 2 + (pi)/(2] hatk`
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