Question

calculating charge
what is the value of a charge that has an electric potential of 325 v and an electric potential energy of 0.025 j?
$7.7 \times 10^{-4}$ c
$7.7 \times 10^{-5}$ c
$1.3 \times 10^{3}$ c
$1.3 \times 10^{4}$ c

Explanation:

Step1: Recall the potential energy formula

The relationship between electric potential energy $U$, electric potential $V$, and charge $q$ is $U = qV$. Rearrange to solve for $q$:
$$q = \frac{U}{V}$$

Step2: Substitute given values

Plug in $U = 0.025\ \text{J}$ and $V = 325\ \text{V}$:
$$q = \frac{0.025}{325}$$

Step3: Calculate the value

Perform the division and convert to scientific notation:
$$q \approx 7.7 \times 10^{-5}\ \text{C}$$

Answer:

$7.7 \times 10^{-5}\ \text{C}$