Question

Four resistors are connected in parallel. Each resistors has a resistance of $2\Omega$. The effective resistance of the combination is:

• A. 8 Ω
• B. 0.5 Ω
• C. 4 Ω
• D. 0.25 Ω

Answer 1

The correct option is B

0.5 Ω

Given:
Resistance of each resistor = $2\Omega$
Equivalent resistance of parallel combination
$\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+...\frac{1}{R_n}$
Effective resistance of the four resistors connected in parallel $\frac{1}{R_e}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=2$
$\therefore R_e=0.5\Omega$