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Magnetic field in a space is given as B ...

Magnetic field in a space is given as `B = -(B_(o)x)/(R )hat(k)`. A circular ring of radius R having current I lies in the space with centre at origin as shown in the figure. Find the magnitude of net magnetic force acting on the circular ring due to the magnetic field.

A

`2iB_(0)R`

B

`pi iB_(0)R`

C

`2pi i B_(0)R`

D

xero

Text Solution

Verified by Experts

The correct Answer is:
B
`F_("net") = int "force on idy"`
`= 4("idy") ((B_(0))/(R )) (x)`
`= 4i(B_(0))/(R ) underset(0)overset(R )int sqrt R^(2) - y^(2) dy`
`= piiB_(0)R`
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