The current through the battery in the figure is approximately
A) 10 A
B) 13 A
C) 0.67 A
D) 6.0 A
E) None of these is correct.

Question

The current through the battery in the figure is approximately
A) 10 A 
B) 13 A 
C) 0.67 A 
D) 6.0 A 
E) None of these is correct.

Quizplus · Accepted Answer

Using Kirchhoff's loop rule, we can write:
-12 V + 5 Ω*I1 + 3 Ω*I1 + 4 Ω*(I1 + I2) = 0
Simplifying this equation, we get:
12 = 12*I1 + 4 Ω*I2
Using the junction rule, we can write:
I2 = I1 + 2.5 A
Substituting I2 in terms of I1 in the first equation, we get:
12 = 12*I1 + 4 Ω*(I1 + 2.5 A)
Solving for I1, we get:
I1 = 6 A
Therefore, the current through the battery is:
I = I1 + I2 = 6 A + 2.5 A = 8.5 A, which is closest to choice D, 6 A.

The Current Through the Battery in the Figure Is Approximately