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The magnetic field at the origin due to ...

The magnetic field at the origin due to the current flowing in the wire is

A

`-(mu_(0)I)/(8pia)(hati+hatk)`

B

`(mu_(0)I)/(2pia)(hati+hatk)`

C

`(mu_(0)I)/(8pia)(-hati+hatk)`

D

`(mu_(0)I)/(4piasqrt2)(hati+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
C

`B_(OD)=0`
`B_(OB)=0`
`B_(AB)=(mu_(0)l)/(4piasqrt2)[cos 45^(@)(-hati)-cos 45^(@)hatk]=(mu_(0)I)/(8pia)(-hati+hatk)`
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