The variation of current (I) and voltage (V) | vedclass

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(B) From the given figure $A$,we observe that the voltage $V$ increases non-linearly with current $I$,specifically $V$ is proportional to $I^n$ where

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(B) From the given figure $A$,we observe that the voltage $V$ increases non-linearly with current $I$,specifically $V$ is proportional to $I^n$ where $n > 1$ (as it is a concave-up curve).Power $P$ is defined as $P = V 	imes I$.Substituting $V \propto I^n$,we get $P \propto I^n 	imes I = I^{n+1}$.Since $n > 1$,the exponent $n+1$ is greater than $2$. This implies that the graph of $P$ versus $I$ will also be a concave-up curve,similar to the original $V-I$ graph but with a steeper increase.Comparing this with the given options,the graph in option $B$ represents an upward-curving (concave-up) relationship,which is consistent with $P \propto I^{n+1}$ where $n+1 > 2$.Therefore,option $B$ is the correct representation.

The variation of current $(I)$ and voltage $(V)$ is as shown in figure $A$. The variation of power $P$ with current $I$ is best shown by which of the following graphs?

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