Answer
The equivalent resistance is $~~\frac{R}{3}$
Work Step by Step
We can find the equivalent resistance when the resistors are in parallel:
$\frac{1}{R_{eq}} = \frac{1}{R}+\frac{1}{R}+\frac{1}{R}$
$\frac{1}{R_{eq}} = \frac{3}{R}$
$R_{eq} = \frac{R}{3}$
The equivalent resistance is $~~\frac{R}{3}$.
