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The current generator ig, shown in , se...

The current generator `i_g`, shown in , 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 `l_g`. The entire system lies in a vertical magnetic field B. Find velocity of the wire as a function of time.

Text Solution

Verified by Experts

Force on the wire `= ilB`,
`:. Accelecation `= (ilB)/m`
`:. Velocity = (ilBt)/m`
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HC VERMA-ELECTROMAGNETIC INDUCTION-Exercises
  1. Consider the situation shown in . The wire PQ has a negligible resist...

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  2. The current generator I g, shown in . Sends a constant current I throu...

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  3. The current generator ig, shown in , sends a constant current I throu...

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  4. The system containing the rails and the wire of the previous problem i...

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  5. The rectangualr wire- frame, shown in has a width d, mass m, resist...

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  6. Shows a smooth pair of thick metallic rails connected across a battery...

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  7. A conducting wire ab of length l, resistance r and mass m starts slidi...

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  8. A bicycle is resting on its stand in the east - west direction and the...

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  9. A conducting disc of radius r rotates with a small but constant angu...

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  10. shows a conducting disc rotating about its axis in a perpendicular ma...

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  11. The magnetic field inn a region is given by vec B = veck (B0)/(L) y wh...

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  12. shows a straight, long wire carrying a current I and a rod of length l...

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  13. Consider a situation similar ot that of the previous problem except th...

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  14. Shows a square frame of wire having a total resistance r placed coplan...

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  15. A rectangular metallic loop of length l and width b is placed coplan...

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  16. Shows a conducting circular loop of radius a placed in a uniform, perp...

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  17. Consider the situation shown in the figure o fthe previous problem. Su...

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  18. Consider a variation of the previous problem. Suppose the circular loo...

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  19. Shows a situation similar to the previous problem. All parameters are...

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  20. A wire of mass m and length l can slide freely on a pair of smooth, ve...

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