Two coils,X and Y,are kept in close vicinity | vedclass

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(A) The induced emf in coil $Y$ is given by Faraday's law of induction: $V(t) = -M \frac{dI}{dt}$,where $M$ is the mutual inductance between the two c

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(A) The induced emf in coil $Y$ is given by Faraday's law of induction: $V(t) = -M \frac{dI}{dt}$,where $M$ is the mutual inductance between the two coils.This implies that the slope of the current graph,$\frac{dI}{dt}$,is proportional to $-V(t)$.$1$. In the first interval,$V(t)$ is positive,so $\frac{dI}{dt}$ must be negative. This means the current $I(t)$ should be decreasing.$2$. In the second interval,$V(t)$ is negative,so $\frac{dI}{dt}$ must be positive. This means the current $I(t)$ should be increasing.$3$. Looking at the options,graph $A$ shows the current decreasing initially and then increasing,which matches the required behavior of the slope $\frac{dI}{dt}$ derived from the given $V(t)$ graph.

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 in the figure. The variation of $I(t)$ with time can then be represented by the graph labeled as:

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