Question

A rod $AB$ slides on a V-shaped wire with speed $v$as shown, such that at any time $OA=OB=l$. The magnetic field in the region is perpendicular downwards and has strength B, the induced emf in the rod is

Answer 1

Given data

1. The velocity of the road is $v$
2. The side of the triangle is l.
3. The magnitude of the magnetic field is $B.$

Electromotive force

1. The electromotive force is the time rate of change in magnetic flux.
2. The EMF induced in a conductor with velocity $v$ is defined by the form, $\epsilon =B\overrightarrow{L}\times \overrightarrow{v}$, where, L is the length of the wire and B is the magnetic field.

Finding the electromotive force

As we know, electromotive force on a conductor is $\epsilon =B\overrightarrow{L}\times \overrightarrow{v}$.

In this case, the velocity and length are perpendicular to each other.

So, induced emf is $\epsilon =B\stackrel{}{l}v$.

Therefore, the induced emf in the rod is $\epsilon =B\stackrel{}{l}v$.