Q. n conducting wires of same dimensions but having resistivites 1,2,3…..n are connected in series. The equivalent resistivity of the combinations is
A) $\frac{n(n + 1)}{2}$
B) $\frac{n + 1}{2}$
C) $\frac{n + 2}{2n}$
D) $\frac{2n}{n + 1}$
Explanation
(a) Resistivity of combination
$= (1 + 2 + 3 + \ldots + n)$
$= \frac{n(n + 1)}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.