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(A) Let the resistance of each identical resistor be $R$.When connected in series,the equivalent resistance is $S = R + R = 2R$.When connected in para

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$4$

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(A) Let the resistance of each identical resistor be $R$.When connected in series,the equivalent resistance is $S = R + R = 2R$.When connected in parallel,the equivalent resistance is $P = \frac{R 	imes R}{R + R} = \frac{R^2}{2R} = \frac{R}{2}$.Given the relation $S = nP$,we substitute the expressions for $S$ and $P$:$2R = n \left( \frac{R}{2} ight)$.Dividing both sides by $R$ (assuming $R 
eq 0$):$2 = \frac{n}{2}$.Multiplying by $2$,we get $n = 4$.Thus,the value of $n$ is $4$.

The resistance of the series combination of two identical resistors is $S$. When they are joined in parallel,the total resistance is $P$. If $S = nP$,then the minimum possible value of $n$ is

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