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
$\frac{1}{R_{eq}}=$ $\underbrace{\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\cdot\cdot\cdot\cdot\cdot+\frac{1}{1}}$
$\therefore \,R_{eq} = \frac{1}{10}=0_{\times}1\,\Omega.$