Question

The smallest resistance that can be obtained by combining 10 resistors each of resistance $10\Omega$ is

• A. $10\Omega$
• B. $0.5\Omega$
• C. $2\Omega$
• D. $20\Omega$
• E. $1\Omega$

Answer 1

The correct option is E $1\Omega$

When the resistors are connected in parallel combination, the equivalent resistance will decrease. Thus, if the 10 resistors are connected in parallel, we will get minimum resistance.

Thus, $\frac{1}{R_{eq}}=\frac{n}{R}$ where $n=10$ number of resistors which have same resistance and $R=10\Omega$ resistance of each resistor.

So, $\frac{1}{R_{eq}}=\frac{10}{10}$

or $R_{eq}=1$