A circuit consists of three adjacent rectangular loops that share resistors as…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

A circuit consists of three adjacent rectangular loops that share resistors as follows: • Left loop: a

9\,\text{V}

battery and a

1\,\Omega

resistor • Middle loop: a

1\,\Omega

resistor • Right loop: a

6\,\text{V}

battery and a

1\,\Omega

resistor • The left and middle loops share a

2\,\Omega

resistor, and the middle and right loops share another

2\,\Omega

resistor. Clockwise currents

I_1

(left loop),

I_2

(middle loop), and

I_3

(right loop) are defined around each loop. What is the value and direction of

I_2

? (a)

5.1\,\text{A}

clockwise around the middle loop (b)

4.3\,\text{A}

clockwise around the middle loop (c)

7.5\,\text{A}

clockwise around the middle loop (d)

4.3\,\text{A}

counterclockwise around the middle loop