Question

Calculate the equivalent resistance of two resistors having resistances $3\Omega$ and $6\Omega$ connected in parallel.

• A. $2\Omega$
• B. $4\Omega$
• C. $6\Omega$
• D. $8\Omega$

Answer 1

The correct option is A $2\Omega$

When two resistances $R_1$ and $R_2$ are connected in parallel, the effective resistance is given by:
$R_{eff}=\frac{R_1\times R_2}{R_1+R_2}$
Given, $R_1=3\Omega$ and $R_2=6\Omega$
$\therefore$Equivalent resistance, $R_{eff}$ = $\frac{3\times 6}{3+6}$ = $\frac{18}{9}$ = $2\Omega$.