To calculate how many electrons are in a charge of 10 nC (nanocoulombs), we need to use the following relationship between charge and the elementary charge of an electron:

\[
Q = n \times e
\]

Where:
- \(Q\) is the total charge (in this case, 10 nC or \(10 \times 10^{-9}\) C),
- \(n\) is the number of electrons,
- \(e\) is the charge of a single electron, which is approximately \(1.602 \times 10^{-19}\) C.

Now, solve for \(n\):

\[
n = \frac{Q}{e} = \frac{10 \times 10^{-9}}{1.602 \times 10^{-19}}
\]

Let me calculate that.

The number of electrons in a charge of 10 nC is approximately \(6.24 \times 10^{10}\) electrons.

Do you want any further details or have questions? Here are some related questions to expand on this:

1. How do we derive the value of the elementary charge?
2. What is the role of electrons in electric current?
3. How does Coulomb's law apply to charges of this size?
4. How many electrons are in a 1 C charge?
5. What are the differences between positive and negative charges?

**Tip:** Understanding the charge of an electron is fundamental for calculations in electrostatics and electronics.

Discover how to calculate the number of electrons in a 10 nC charge. This problem covers electrostatics, the relationship between total charge and elementary charge, and uses fundamental equations to find the number of electrons. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation