Question

Four resistors each of resistance $2\Omega$ are connected in parallel. What is the effective resistance?

• A. $2\Omega$
• B. $5\Omega$
• C. $0.5\Omega$
• D. $8\Omega$

Answer 1

The correct option is C $0.5\Omega$

$\text{Step 1: Calculation of net resistance}$

For parallel arrangement,

$\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}$.

Resistance of every resistor $=2\Omega$

$\Rightarrow \frac{1}{R_{eq}}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=2$

$\Rightarrow R_{eq}=\frac{1}{2}=0.5\Omega$.

Hence, Option C is correct.