Question

We have n resistors each of resistance R. The ratio of the combination for maximum and minimum value is:

• A. n
• B. $n^2$
• C. $n^3$
• D. $\frac{1}{n}$

Answer 1

The correct option is B $n^2$

Maximum resistance is attained by combining all resistances in series and is $R_1=nR$

Minimum resistance is attained by combining all resistance in parallel and is given by $R_2=\frac{R}{n}$

Now, $\frac{R_1}{R_2}=\frac{nR}{R/n}=n^2$

Answer-(B)