Electro Magnetic Induction And Alternating Currents Question 512
Question: ABCD is a wire frame in the shape of an isosceles trapezium (i.e., length AB = length CD) enter a magnetic field with flux density B at t=0 as . If the total resistance of wire frame is R. What is the value of the induced current in the wire frame after t seconds, assuming that the frame has to entered the field completely by then? [v=Velocity of frame]
Options:
A) zero
B) $ \frac{Bv}{R}(2vt,\sin ,\theta +\ell ) $
C) $ \frac{Bv}{R}( \frac{2vt,}{\tan ,\theta }+\ell ) $
D) $ \frac{B}{v} $
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Answer:
Correct Answer: C
Solution:
-
Total effective length crossing the flux lines
$ =\frac{2vt}{\tan ,\phi }+l $
Current $ =\frac{B( \frac{2vt}{\tan ,\phi }+l )v}{R} $
