A rod of length l is translating at a velocity v making an angle `theta` with its length. A uniform magnetic field B exists in a direction perpendicualr to the plane of motion. Calculate the emf induced In the rod, Draw a figure representig the induced emf by on equivalent battery.

Explanation

The situation is shown in figure
The component of the velocity perpendicular to the length of the rod is `v_|_ = sin theta
Only this component is effective in producing the emf in the rod
As the magnetic field is perpendicular ot the plane of motion, the emf induced across the ends is ` epsilon = v _|_ Bl = vBl sin theta`
In the figure shown, the positive charges of the rod shift towards left due to the force `vec qu X vecB
Thus, the left side of the rod is electrically positive
Figure shows the equivalent battery