Final Answer:
The potential difference between points A and B is 2.0 V.
Step-by-step explanation:
To find the potential difference between two points in an electric circuit, we need to use the equation:
ΔV = V_A - V_B
where ΔV is the potential difference between the two points, and V_A and V_B are the voltages at each point.
In this case, we know that there is a current of 2.0 A flowing from point A to point B, so we can use Ohm’s Law to determine the voltage drop across the circuit:
ΔV = I * R
where I is the current in amperes (A) and R is the resistance in ohms (Ω). We are given that the current is 2.0 A, so we need to find the resistance to determine the potential difference.
Using Ohm’s Law again, we can write:
R = ΔV / I
Substituting the values we know, we get:
R = 2.0 V / 2.0 A = 1.0 Ω
Now we can calculate the potential difference between points A and B:
ΔV = V_A - V_B = 1.0 Ω * 2.0 A = 2.0 V
Therefore, the potential difference between points A and B is 2.0 V.