Find the magnetic field at a point P on the perpendicular bisector of the current carrying conductor :-

Options

A. `(mu_(0)i)/(2sqrt2pil)`
B. `(mu_(0)i)/(2pil)`
C. `(mu_(0)i)/(4pil)`
D. zero

Answer

A

Explanation

Here,
`cos theta_(1)=cos theta_(2)=(l)/(sqrt2l)=(1)/(sqrt2`
Then.
`B=(mu_(0)i)/(4pil)(cos theta_(1)+cos theta_(2))`

`=(mu_(0)i)/(4pil)(1)/(sqrt2+(1)/(sqrt2))=(mu_(0)i)/(2sqrt2pil)"(in ward)"`