Question

Each resistance in the diagram below is 2 Ω. Calculate the equivalent (effective) resistance of the circuit, i.e. calculate the equivalent resistance between points A and D.

Answer 1

R=2ohm

Assume three resistance are connected in series combination

$R=R_1+R_2+R_3$

Put value

$R=2+2+2=6ohm$

Assume three resistance conneted in parallel combination

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$

Put value

$\frac{1}{R}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$

$\frac{1}{R}=\frac{3}{2}$

$R=\frac{2}{3}=0.66 ohm$