Question

If four resistors each of $1\Omega$ are connected in parallel. The effective resistance will be:

• A. 0.5 Ω
• B. 0.25 Ω
• C. 2 Ω
• D. 4 Ω

Answer 1

The correct option is B

0.25 Ω

Given:
Resistance of each resistor $R=1\Omega$
Number of resistors = 4
The equivalent resistance of resistors connected in parallel $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+..\frac{1}{R_n}$
$\frac{1}{R_{eq}}=\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{4}{1}$
or $R_{eq}=\frac{1}{4}=0.25\Omega$