Question

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

Answer 1

Answer: (A)

0.01 R

Answer 2

Each part will have a resistance $r = R/10$

Let equivalent resistance be $r_{R,}$then

$\frac{1}{r_{R}} = \frac{1}{r} + \frac{1}{r} + \frac{1}{r}...........10\mspace{6mu}\text{times}$

$\therefore\frac{1}{r_{R}} = \frac{10}{r} = \frac{10}{R/10} = \frac{100}{R} \Rightarrow r_{R} = \frac{R}{100} = 0.01R$