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A part of a long wire carrying a current...

A part of a long wire carrying a current `i` is bent into a circle of radius `r` as shown in figure. The net magnetic field at the centre `O` of the circular loop is

A

`(mu_(0)i)/(4r)`

B

`(mu_(0)i)/(2r)`

C

`(mu_(0)i)/(2pir) (pi+1)`

D

`(mu_(0)i)/(2pir) (pi-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
The given circuit can be considered as follows
`B_("loop")=(mu_(0)i)/(2r) o.`
`B_("conductor")=(mu_(0)i)/(2pir) o.`
`B_("net")=(mu_(0)i)/(2pir)(pi+1) o.`
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