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Rotational EMF

Find the magn...

Question

Find the magnitude and direction of the magnetic induction vector $\to B$ of an infinite plane carrying a current of linear density $\to i$ ; the vector $\to i$ is the same at all points of the plane;

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Solution

Applying Ampere's law in the loop shown,
$\oint B . d l = μ_{0} i (l)$
$⟹ B (2 l) = μ_{0} i l$
$⟹ B = \frac{μ_{0} i}{2}$
The magnetic field is horizontal and parallel to the plane.

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