What is the current through the 8.0-Ω resistor?
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A

Question

What is the current through the 8.0-Ω resistor? 
A)1.0 A 
B)0.50 A 
C)1.5 A 
D)2.0 A

Quizplus · Accepted Answer

To find the current, we can use Ohm's Law which states that current (I) is equal to voltage (V) divided by resistance (R): I=V/R
We can find the voltage by using the potential difference equation: V = ε - IR, where ε is the battery's emf and IR is the potential difference across the resistor. 
The emf of the battery is given as 12V. 
The potential difference across the 8.0-Ω resistor is I * 8.0 Ω. 
So, V = 12V - (2A * 8 Ω) = -4V
Since the voltage is negative, it means that the current is flowing in the opposite direction of the assumed direction. So the current through the 8.0-Ω resistor is 4V / 8 Ω = 0.5A. 
Therefore, the answer is C) 1.5 A.

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