A system consists of two parallel planes 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 $$B2N$$μ$$0$$. Find N.

Question

A system consists of two parallel planes 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 $$B2N$$μ$$0$$. Find N.

Infinity Learn · Accepted Answer

Let J be the current per unit length. $$B=2$$μ$$0J2=$$μ$$0JMagnetic$$ field due to one plane $$-$$ $$B/2$$ Force on other plane $$F=B2Jl1l2$$ This force is on the shaded part.  Force per unit area: $$Fl1l2=B2J=B2B$$μ$$0=B22$$μ$$0$$ Hence N $$=$$ $$2$$

Magnetic field due to current element

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A system consists of two parallel planes 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 $\frac{B^{2}}{N μ_{0}}$ . Find N.

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Magnetic field due to current element

Unlock the full solution & master the concept.

A system consists of two parallel planes 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 B2Nμ0. Find N.

Let J be the current per unit length. B=2μ0J2=μ0JMagnetic field due to one plane - B/2 Force on other plane F=B2Jl1l2 This force is on the shaded part. Force per unit area: Fl1l2=B2J=B2Bμ0=B22μ0 Hence N = 2

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A system consists of two parallel planes 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 $\frac{B^{2}}{N μ_{0}}$ . Find N.