Question

Calculate the steady current through the $2\Omega$ resistor in the circuit shown in the figure.

Answer 1

Effective resistance,$R_{12}=\frac{1}{2}+\frac{1}{3}=\frac{5}{6}$

$R_{12}=1.2\Omega$

resistance,$R_{12}$ is in series $2.8\Omega$

Total resistance $=1.2+2.8=4.0\Omega$

Current,$I=\frac{6}{4}=1.5A$

Potential difference,$AB=1.5\times 1.2=1.8V$

Current through $2\Omega =\frac{1.8}{2}=0.9A$.