The ratio of maximum to minimum resistance of 'n' resistors each of resistance R is given by:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \( n^{2} \)
The resistance is largest when the n resistors are joined in series, and smallest when they are joined in parallel.
\( R_{\max} = nR \)
\( \displaystyle \frac{1}{R_{\min}} = \frac{n}{R} \Rightarrow R_{\min} = \frac{R}{n} \)
\( \displaystyle \frac{R_{\max}}{R_{\min}} = \frac{nR}{R/n} = n^{2} \)