# Five equal resistances are connected in a network as shown in figure.

Question:

Five equal resistances are connected in a network as shown in figure. The net resistance between the points $\mathrm{A}$ and $\mathrm{B}$ is :

1. $2 R$

2. $\frac{\mathrm{R}}{2}$

3. $\frac{3 R}{2}$

4. $\mathrm{R}$

Correct Option: , 4

Solution:

This diagram can be drawn like

It is a wheat stone bridge

$\therefore \mathrm{R}_{\mathrm{eq}}=\frac{2 \mathrm{R} \times 2 \mathrm{R}}{2 \mathrm{R}+2 \mathrm{R}} \Rightarrow \mathrm{R}$