Question

A set of 'n' of identical resistors each of resistance Rare connected in series and the effective resistance is found to be 'X When these 'n' resistors are connected in parallel, the effective resistance is found to be 'Y'. Find the ratio X/Y.​

Answer 1

Answer:

${number \: of \: resistors}^{2}$

Explanation:

n = number of resistors

Rs = equivalent resistance of series

Rp = equivalent resistance of parallel

Rs = n × Rare = X

Rp = Rare / n = Y

X/Y = Rs/Rp = n × Rare / Rare/n

X/Y = Rs/Rp = n^2