Chapter 6, Problem 1RQ

What charge is on a 5-F capacitor when it is connected across a 120-V source?

(a)    600 C

(b)    300 C

(c)    24 C

(d)    12 C

To determine

Choose the correct option to find the charge on a $5\text{F}$ capacitor when it is connected across a $120\text{V}$ source.

Answer to Problem 1RQ

The correct option from the given choices is (a) 600 C.

Explanation of Solution

Given data:

The value of capacitance $\left(C\right)$ is $5\text{F}$.

The value of applied voltage $\left(v\right)$ is $120\text{V}$.

Formula used:

Write the expression to find the amount of charge.

$q=Cv$ (1)

Here

$C$ is the capacitance of the capacitor,

$v$ is the applied voltage.

Calculation:

Substitute $5\text{F}$ for $C$ and $120\text{V}$ for $v$ in equation (1) to find charge $q$.

$q=\left(5\text{F}\right)\left(120\text{V}\right)$ (2)

Substitute the units $\frac{\text{C}}{\text{V}}$ for $\text{F}$ in equation (2) to find charge $q$ in coulombs.

$\begin{array}{c}q=\left(5\frac{\text{C}}{\text{V}}\right)\left(120\text{V}\right)\\ =600\text{C}\end{array}$

Therefore, the option (a) is correct and the options (b), (c), (d) are incorrect.

Conclusion:

Thus, the correct option from the given choices is (a) 600 C.