Question

The equivalent resistance of $n$ resistors each of same resistance when connected in series is $R .$ If the same resistances are connected in parallel, the equivalent resistance will be

• A. $R / n^{2}$
• B. $R / n$
• C. $n^{2} R$
• D. n R

Answer 1

Answer: (A)

Effective resistance of $n$ resistance each of the resistance $r$ in series $R_{s}=r \times n=R$ (as per question); so $r=R / n .$ When these resistances are connected in parallel, the effective resistance
$R_{p}=\frac{r}{n}=\frac{R / n}{n}=\frac{R}{n^{2}}$