MCQ
Two infinitely long conducting parallel rails are connected through a capacitor $C$ as shown in the figure. $A$ conductor of length $l$ is moved with constant speed $v_0$.Which of the following graph truly depicts the variation of current through the conductor with time ?
  • A

  • B


  • D

Answer

Correct option: C.

c
By Faraday's Law of induction,

$\varepsilon=-\frac{d \phi}{d t}$

$=-B l \frac{d x}{d t}=-B l v_{0}$

This emf should induce the movement of charges creating a current. But due to the attached capacitor, all charges are conserved.

Thus $I=\frac{d q}{d t}=0$

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