In a circuit two junctions

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

In a circuit two junctions,

J_1

and

J_2

, are connected by a single conductor carrying current

I_3

. At

J_1

5.0\,\text{A}

current enters from the battery, and

1.4\,\text{A}

leaves downward through a resistor. The remaining current travels toward

J_2

I_3

. At

J_2

, the current

I_3

arrives from the left and splits:

2.6\,\text{A}

leaves upward through one resistor, and

1.0\,\text{A}

leaves downward through another. Determine the magnitude and direction of

I_3