Question

Show your solution.

  A 12-volt battery will increase the potential energy of ____ coulombs of charge by 6 joules.

Answer 1

Let's write the relationship between the electrical potential difference, potential energy and the amount of charge:

$$\Delta V=\dfrac{W}{q}=\dfrac{\Delta PE}{q},$$ $$q=\dfrac{\Delta PE}{\Delta V}=\dfrac{6\ J}{12\ V}=0.5\ C.$$

Answer:

A 12-volt battery will increase the potential energy of 0.5 coulombs of charge by 6 joules.