Question

Two resistances of each $2$ ohm are connected in parallel. Find their equivalent resistance.

Answer 1

Let the two resistors be $R_1$ and $R_2$ and

$R_1=2\Omega$

$R_2=2\Omega$

In parallel combination,

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

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

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

$R_{eq}=1\Omega$