Qstnid -Iv-46-the Current Generator I<sub>g</sub>‘ 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<sub>g</sub>. The Entire System Lies In A Vertical Magnetic Field B. Find The Velocity Of The Wire As A Function Of Time. <Span Style="background-color: #Ffff00;">figure</span></span> - 38: Electromagnetic Induction - Neet-xii-physics

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NEET-XII-Physics

38: Electromagnetic Induction

with Solutions - page 10

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#46
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.
Figure
Ans :
Because current i passes through the sliding wire, the magnetic force on the wire (F) is ilB.
Now,
Acceleration of the sliding wire, a = `` \frac{ilB}{m}``
Velocity of the sliding wire, v = u + at
∵ u = 0
∴ v = `` \frac{ilBt}{m}``
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