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:
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$ BI\ell =mg $ or $ B\frac{Bv\ell }{R}\ell =mg $
or $ v=\frac{mgR}{B^{2}{{\ell }^{2}}} $
