To calculate the amount of work it takes to move a charge through a potential difference, we can use the formula:
\[ W = Q \times V \]
where:
- \(W\) is the work done in joules (J),
- \(Q\) is the electric charge in coulombs (C),
- \(V\) is the potential difference in volts (V).
Given the values from your question:
- The charge (\(Q\)) is 3 C.
- The potential difference (\(V\)) is 45 V.
Now, let's calculate the work (\(W\)):
\[ W = Q \times V \]
\[ W = 3 \, C \times 45 \, V \]
When we multiply these numbers together:
\[ W = 135 \, J \]
Therefore, it takes 135 joules of work to move a 3 C charge through a potential difference of 45 V.
