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Axis of a solid cylinder of infinite len...

Axis of a solid cylinder of infinite length and radius R lies along y-axis. It carries a uniformly distributed current I along +y direction. Magnetic field at a point `(R//2, y, R//2)` is

A

`(mu_(0)i)/(4piR)(hati-hatk)`

B

`(mu_(0)i)/(2piR)(hatj-hatk)`

C

`(mu_(0)i)/(4piR)hatj`

D

`(mu_(0)i)/(4piR)(hati+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A
`B=((mu_(0)i)/(piR^(2))xxpi(R/sqrt2)^(2))/(2pisqrt2R/2)[cos45^(@) hati-cos 45^(@) hatk]`
`=(mu_(0)i^(2))/(4piR)(hati-hatk)`
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