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Two coils, X and Y, are kept in close vicinity of each other. When a varying current, I(t), flows through coil X, the induced emf (V(t)) in coil Y, varies in the manner shown here. The variation of I(t), with time, can then be represented by the graph labelled as graph: 

Option: 1

 


Option: 2

 


Option: 3

 


Option: 4

 


Answers (1)

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e=-\frac{d \phi}{d t}=-\frac{d}{d t}( B \cdot A )

\\ =-A \cos \theta \frac{d}{d t}(B) \\ \\ \quad=-A \cos \frac{d}{d t}\left[\frac{\mu_{0} I}{2 r_{1}}\right] \\ \ \\ \ \\ \quad e=-\frac{A \cos \theta \mu_{0}}{2 r_{1}} \frac{d I}{d t}


e \propto-\frac{d I}{d t}

  This means e will vary as the negative of the slope variation of l(t).

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