Question

what is the potential difference between two points, if 2J of work must be done to move a 4 mC charge from one point to another is:

• A. 50 V
• B. 500 V
• C. 5 V
• D. 5000 V

Answer 1

The correct option is B 500 V

Answer is B.
The total work done = energy transferred.
so, we might see the equation energy = voltage x charge, E = V * Q, written as,
work = voltage x charge, W = V * Q.
In this case, the charge is 4 mC, that is, 0.004 C and work done is 2 J.
Therefore, V=W/Q = 2/0.004 = 500 V.
Hence, the potential difference between two points if 2 J of work must be done to move a 4 mC charge from one point to another is 500 V.