Question

Ten identical wires each having a resistance of one ohm are connected in parallel. The combination will have a resistance of

• A. $0.1\Omega$
• B. $10\Omega$
• C. $0.01\Omega$
• D. $1\Omega$

Answer 1

Answer: (A)

Given: No. of wires = 10 and resistance of each wire $=1\Omega$. We know that relation for equivalent resistance of wires connected in parallel
$\frac{1}{R_{eq}}=$ $\underbrace{\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\cdot \cdot \cdot \cdot \cdot +\frac{1}{1}}$
$\therefore R_{eq}=\frac{1}{10}=0_{\times }1\Omega .$