The current generator I_g shown in figure, sends a constant curre… - Vidyadip

Question

The current generator $I_g$ shown in figure, sends a constant current i through the circuit. The wire ab has a length l and mass m and can slide on the smooth, horizontal rails connected to $I_g$. The entire system lies in a vertical magnetic field $B$. Find the velocity of the wire as a function of time.

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Answer

Force on the wire $=\text{ilB}$
Acceleration $=\frac{\text{ilB}}{\text{m}}$
Velocity $=\frac{\text{ilBt}}{\text{m}}$

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