Question

There are $10$ resistors of $\frac{1}{10}\Omega$ each. The lowest resistance, that can be obtained by using all the resistor, is :

• A. $0.01\Omega$
• B. $0.001\Omega$
• C. $0.1\Omega$
• D. $1\Omega$

Answer 1

The correct option is A $0.01\Omega$

Given,

$n=10$ number of resistance

$R=\frac{1}{10}\Omega$

The lowest equivalent resistance is obtained in parallel combination,

$\frac{1}{R_{eq}}=\frac{n}{R}$

$\frac{1}{R_{eq}}=10\times 10$

$R_{eq}=\frac{1}{100}=0.01\Omega$

The correct option is A.