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A long straight wire, carrying I is bent...

A long straight wire, carrying I is bent at its mid-point to form an angle of `45^@)`. Induction of magnetic field ( in tesla) at point P, distant R from point of bending is equal to

A

`((sqrt(2)-1)mu_(0)i)/(4piR)`

B

`((sqrt(2)+1)mu_(0)i)/(4piR)`

C

`(mu_(0)i)/(4sqrt(3)piR)`

D

`(mu_(0)i)/(8R)`

Text Solution

Verified by Experts

The correct Answer is:
C
`B=(mu_(@)l)/(4pisqrt(3)R//2)[sin90^(@)+sin(-30^(@))]`
`=(mu_(@)l)/(4sqrt(3)R)`
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