Potential Difference Calculation

What is the potential difference between two points when given specific values for work done and charge?

If the work required to move a +0.25 C charge from point A to point B is +175 J, what is the potential difference between the two points?
A) zero volts
B) 44 V
C) 88 V
D) 350 V
E) 700 V

Answer:

The potential difference between the two points is 700 V.

The potential difference (voltage) between two points A and B is given by the equation:

V = W / q

where:
V = potential difference (voltage),
W = work done (in joules) to move the charge,
q = magnitude of the charge (in coulombs).

Given that the work required to move the charge from point A to point B is +175 J and the charge is +0.25 C, plug these values into the equation:

V = 175 / 0.25

Calculating this, the potential difference between the two points is 700 V. Therefore, the correct answer is E) 700 V.