The current generator $I_{g}$ , shown in figure (38-E20), 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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Solution

Force on the wire =ilB,

$∴$ acceleration $= \frac{i l B}{m}$

$∴$ Velocity $= \frac{i l B t}{m}$

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