What is the magnitude of the potential difference between points C and D for the circuit shown in the figure? The battery is ideal,and all the numbers are accurate to two significant figures.
A)6.0 V
B)4.0 V
C)3.0 V
D)2.0 V

Question

What is the magnitude of the potential difference between points C and D for the circuit shown in the figure? The battery is ideal,and all the numbers are accurate to two significant figures. 
A)6.0 V 
B)4.0 V 
C)3.0 V 
D)2.0 V

Quizplus · Accepted Answer

Using Kirchhoff's loop rule, we can write:
-4V + 2IR + 3V - 2IR - 1V = 0
Simplifying, we get:
-2V + 2IR = 0
2IR = 2V
IR = V
Using Ohm's law, we can calculate the current in the circuit:
I = V/R = 1A
The potential difference between points C and D is:
VD - VC = IR = 1V * 2Ω = 2V
Therefore, the magnitude of the potential difference between points C and D is 2.0 V, which corresponds to choice B.

What Is the Magnitude of the Potential Difference Between Points