Electro Magnetic Induction And Alternating Currents Question 470

Question: A conducting wire xy of length $ l $ and mass m is sliding without friction on vertical conduction rails ab and cd shown in Fig. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

Options:

A) $ \frac{mgR}{Bl} $

B) $ \frac{mgR}{Bl^{2}} $

C) $ \frac{mgR}{B^{2}l^{2}} $

D) $ \frac{mgR}{B^{2}l} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ BI\ell =mg $ or $ B\frac{Bv\ell }{R}\ell =mg $

    or $ v=\frac{mgR}{B^{2}{{\ell }^{2}}} $



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