Answer
The equivalent resistance is $~~2.50~\Omega$
Work Step by Step
The equivalent resistance of two resistors in series is $2R$
There are three branches in parallel with equivalent resistances (top branch to bottom branch): $2R, R, 2R$
We can find the equivalent resistance:
$\frac{1}{R_{eq}} = \frac{1}{2R}+\frac{1}{R}+\frac{1}{2R}$
$\frac{1}{R_{eq}} = \frac{1}{2R}+\frac{2}{2R}+\frac{1}{2R}$
$\frac{1}{R_{eq}} = \frac{4}{2R}$
$R_{eq} = \frac{R}{2}$
$R_{eq} = \frac{5.00~\Omega}{2}$
$R_{eq} = 2.50~\Omega$
The equivalent resistance is $~~2.50~\Omega$
