Between nodes P and Q lies a resistor common to two loops

PHYSICS · Subjective · CBSE · Physics · Current Electricity · Current Electricity

Problem

Between nodes P and Q lies a

2\,\Omega

resistor common to two loops. The left loop contains a

12\,\text{V}

battery (positive at P) and a

4\,\Omega

resistor. The right loop contains a

6\,\text{V}

battery (positive at Q) and a

5\,\Omega

resistor. Assume clockwise loop currents

I_1

(left) and

I_2

(right). Calculate the numerical values of

I_1

and

I_2