Question

Three resistor of $10\Omega$, $20\Omega$, and $30\Omega$ are connected in parallel in a circuit. Calculate the equivalent resistance.

• A. $6000\Omega$
• B. $0.017\Omega$
• C. $1\Omega$
• D. $60\Omega$
• E. $5.45\Omega$

Answer 1

The correct option is E $5.45\Omega$

Given : $R_1=10\Omega$ $R_2=20\Omega$ $R_3=30\Omega$

Equivalent resistance of parallel combination $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$

$\therefore$ $\frac{1}{R_{eq}}=\frac{1}{10}+\frac{1}{20}+\frac{1}{30}$ $⟹R_{eq}=5.45$ $\Omega$