Q. A wire of resistance R is divided in 10 equal parts. These parts are connected in parallel, the equivalent resistance of such connection will be

A) $0.01\ R$
B) $0.1\ R$
C) $10\ R$
D) $100\ R$
Explanation

(a) Each part will have a resistance $r = R/10$
Let equivalent resistance be $r_{R},$ then
$\frac{1}{r_{R}} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r}\ldots\ldots.$ 10 times
$\therefore\frac{1}{r_{R}} = \frac{10}{r} = \frac{10}{R/10} = \frac{100}{R} \Rightarrow r_{R} = \frac{R}{100} = 0.01R$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.