V-i graphs for parallel and series combinatio | vedclass

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(A) For two identical resistors of resistance $R$,the equivalent resistance in series is $R_{Series} = R + R = 2R$.The equivalent resistance in parall

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$A$

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(A) For two identical resistors of resistance $R$,the equivalent resistance in series is $R_{Series} = R + R = 2R$.The equivalent resistance in parallel is $R_{Parallel} = \frac{R 	imes R}{R + R} = \frac{R}{2}$.Thus,$R_{Parallel} In a $V-i$ graph,the slope of the line represents the resistance $(R = \frac{V}{i} = 	ext{slope})$.From the figure,the slope of line $A$ is less than the slope of line $B$.Since $R_{Parallel} Therefore,line $A$ represents the parallel combination.

$V-i$ graphs for parallel and series combination of two identical resistors are as shown in the figure. Which graph represents the parallel combination?

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