What is the magnitude of the current in the 20-Ω resistor?
A)0.75 A
B)0.00 A
C)0.25 A
D)0.50 A
E)1.00 A

Question

What is the magnitude of the current in the 20-Ω resistor? 
A)0.75 A 
B)0.00 A 
C)0.25 A 
D)0.50 A 
E)1.00 A

Quizplus · Accepted Answer

Using Kirchhoff's laws, we can set up the following equations:
- 12V - 6V - 8I - 20I - 4I = 0 (sum of voltage drops equals the total voltage)
- I1 = I2 + I3 (current entering a node equals the sum of currents leaving the node)

Simplifying the first equation, we get:
- 20I = -2
I = 0.1 A

Therefore, the current in the 20-Ω resistor is 0.5 A (20% of the total current).

What Is the Magnitude of the Current in the 20-Ω