# Electric Work Calculation: Voltage Difference and Electrons

## What is the absolute value of the work done by the voltage on electrons crossing the gap between parallel plates?

Two parallel plates are separated by 4.5 cm and have a 5.06 V voltage difference. If 2.53x10^23 electrons cross the gap, what is the kilojoules value of the work done?

## Answer:

The absolute value of the work done by the voltage on the electrons crossing the gap between the parallel plates can be found by multiplying the charge of each electron with the voltage difference, and then multiplying that by the number of electrons. Finally, divide the result by 1000 to convert it to kilojoules.

The work done by the voltage on the electrons can be calculated using the equation:

**Work = charge * voltage**

Since the charge of each electron is 1.6 x 10^-19 C and the voltage difference is 5.06 V, we can substitute these values into the equation:

**Work = (1.6 x 10^-19 C) * (5.06 V)**

Calculating this expression gives us the work done by each electron. To find the total work done on 2.53 x 10^23 electrons, we can multiply the work done by an electron by the number of electrons:

**Total Work = (1.6 x 10^-19 C * 5.06 V) * (2.53 x 10^23)**

Calculating this expression will give us the total work done in joules. To convert joules to kilojoules, we divide the result by 1000:

**Total Work in kilojoules = Total Work in joules / 1000**

Substituting the values into the equation and performing the calculations will give you the absolute value of the work in kilojoules.