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The magnetic field dvecB due to a small ...

The magnetic field `dvecB` due to a small current element `dvecl` at a distance `vecr` and element carrying current `i` is,

A

`d vecB (=(mu_(0))/(4pi)I ((d vecl xx vecr)/(R ))`

B

`d vecB =(u_(0))/(4pi) i^(2) ((d vecl xx vec r )/(r ^(2)))`

C

`d vecB =(mu_(0))/(4pi) i^(2) ((d vecl xx vecr)/(r ))`

D

`d vecB =(mu_(0))/(4pi)I ((d vecl xx vecr )/(r ^(3)))`

Text Solution

Verified by Experts

The correct Answer is:
D
According to Biot-Savart law, `dB=(mu_(0))/(4pi) (id l sin theta)/(r ^(2))`
In vector form, this is expressed as
`d vecB=(mu_(0))/(4pi) i ((d vecixx vecr)/(r ^(3)))`
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