Total Charge Calculator - Calculator Academy

Calculate total electric charge Q from current and time or from number of electrons, with unit conversions and electron-based results.

Total Charge Formula

The following formula is used to calculate the Total Charge.

|Qtotal| = N \times e; Q = I \times t

Where |Qtotal| is the charge magnitude in coulombs; Q = I × t uses average signed current and elapsed time
N is the total number of electrons
e is the elementary charge magnitude, exactly 1.602176634 × 10⁻¹⁹ C; each electron has charge −e

To calculate charge magnitude from electrons, multiply the electron count by e. The signed charge of those electrons is −N × e. From average current, use Q = I × t.

How to Calculate Total Charge?

The following two example problems outline how to calculate the Total Charge.

Example Problem #1:

First, determine the total number of electrons. In this example, the total number of electrons is given as 15,000.
Next, determine the electron charge (C). For this problem, the elementary charge magnitude is exactly 1.602176634 × 10⁻¹⁹ C.
Finally, calculate the Total Charge using the equation above:

|Qtotal| = N × e

Inserting the values from above and solving the equation:

|Qtotal| = 15000 × 1.602176634 × 10⁻¹⁹ ≈ 2.40326 × 10⁻¹⁵ C; signed electron charge is negative

Example Problem #2:

Using the same process as above, first define the variables required by the formula. In this case, these values are provided as the following:

total number of electrons = 200,000

elementary charge magnitude e = 1.602176634 × 10⁻¹⁹ C

Entering these values gives:

|Qtotal| = N × e ≈ 3.20435 × 10⁻¹⁴ C; signed electron charge is negative