Q. 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) $nR$
Explanation
(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
$R_{p} = r/n = \frac{R/n}{n} = R/n^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.