For the following Wheatstone bridge circuit, R$_{1}$ = 10 kΩ, R$_{2}$ = 9.7 kΩ, R$_{3}$ = 5.0 kΩ and R$_{4}$ = 4.5 kΩ. V$_{out}$ is defined as V$_{b}$ – V$_{a}$. Calculate the voltage V$_{out}$ and the current passing through R$_{5}$, for R$_{5}$ = 20 kΩ. Indicate the direction of this current with an arrow.
+5V
0
V$_{a}$
R$_{2}$
R$_{4}$
R$_{5}$
R$_{1}$
R$_{3}$
V$_{b}$
V$_{out}$