Three branches connect the same pair of nodes P and Q

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

Three branches connect the same pair of nodes P and Q. Branch 1: a

6\,\Omega

resistor. Branch 2: a

3\,\Omega

resistor in series with a

12\,\text{V}

battery whose positive terminal is at P. Branch 3: a

2\,\Omega

resistor in series with a

4\,\text{V}

battery whose positive terminal is at Q. Assuming currents

I_1, I_2, I_3

flow from P to Q in the three branches respectively, what is the current

I_1

through the

6\,\Omega

resistor? (a)

0.67\,\text{A}

from P to Q (b)

0.33\,\text{A}

from Q to P (c)

0.33\,\text{A}

from P to Q (d)

1.0\,\text{A}

from P to Q