If 180 J of work is performed to move four coulombs of charge from the positive plate to the negative plate shown below, what potential difference exists between the plates?
To determine the potential difference between the plates, we need to use the formula:
\[ \text{Potential difference} = \frac{\text{Work}}{\text{Charge}} \]
In this case, the work performed is given as 180 J, and the charge moved is 4 coulombs. Plugging these values into the formula:
\[ \text{Potential difference} = \frac{180 \, \text{J}}{4 \, \text{C}} \]
Using the formula, we can find that the potential difference between the plates is 45 volts (V).