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A system consists of two parallel plane carrying currents producing a uniform magnetic field of induction B between the planes. Outside this space there is no magnetic field. The magnetic force acting per unit area of each plane is found to be `B^2//Nmu_0`. Find N.

Text Solution

Verified by Experts

The correct Answer is:
`2`
(2) Let J is the current per unit length.
`B=2[(mu_0J)/2]=mu_0J`


Magnetic field due to one plane =`B//2`
Force on other plane `F=B/2(Jl_2)l_2`
This force is on the shaded part.
Force per unit area: `F/(l_1l_2)=B/2J=B/2 B/(mu_0)=(B^2)/(2mu_0)`
Hence `N=2`.
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