Resistance n,each of r Omega,when connected | vedclass

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(D) When $n$ resistors,each of resistance $r$,are connected in parallel,the equivalent resistance $R$ is given by:$R = \frac{r}{n}$From this,we can ex

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$n^2R$

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(D) When $n$ resistors,each of resistance $r$,are connected in parallel,the equivalent resistance $R$ is given by:$R = \frac{r}{n}$From this,we can express $r$ in terms of $R$ and $n$:$r = nR$When these $n$ resistors are connected in series,the equivalent resistance $R_{	ext{series}}$ is given by:$R_{	ext{series}} = n 	imes r$Substituting the value of $r$ from the first equation:$R_{	ext{series}} = n 	imes (nR) = n^2R$Therefore,the equivalent resistance in series is $n^2R \ \Omega$.

Resistance $n$,each of $r \ \Omega$,when connected in parallel give an equivalent resistance of $R \ \Omega$. If these resistances were connected in series,the combination would have a resistance in $\Omega$,equal to

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