Question

The lowest resistance which can be obtained by connecting 10 resistors each of 1/10 ohm is

• A. $1/250\Omega$
• B. $1/200\Omega$
• C. $1/100\Omega$
• D. $1/10\Omega$

Answer 1

Answer: (C)

$1/100\Omega$

Answer 2

Lowest resistance will be in the case when all the resistors are connected in parallel.

$\frac{1}{R} = \frac{1}{0.1} + \frac{1}{0.1}.......$ 10 times

$\frac{1}{R} = 10 + 10.......10$times

$\frac{1}{R} = 100$ i.e. $R = \frac{1}{100}\Omega$