# The magnitude of the charge for a single electron or proton is 1.6 x 10^-19 C. What is the net charge of a particle that has 20 electrons and 22 protons? A) +3.2 x 10^-19 C B) -3.2 x 10^-19 C C) +1.6 x 10^-19 C D) -1.6 x 10^-19 C

## Question

The magnitude of the charge for a single electron or proton is $1.6 \times 10^{-19} \ \mathrm{C}$.

What is the net charge of a particle that has 20 electrons and 22 protons?

A) $+3.2 \times 10^{-19} \ \mathrm{C}$

B) $-3.2 \times 10^{-19} \ \mathrm{C}$

C) $+1.6 \times 10^{-19} \ \mathrm{C}$

D) $-1.6 \times 10^{-19} \ \mathrm{C}$

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## Answer

**:**

The correct option is **$\mathbf{A} \ +3.2 \times 10^{-19} \ \mathrm{C}$**.

**Protons** carry a **positive charge** of $+1.6 \times 10^{-19} \ \mathrm{C}$ each.

**Electrons** carry a **negative charge** of $-1.6 \times 10^{-19} \ \mathrm{C}$ each.

To find the **net charge** of a particle, you sum the total charges of all protons and electrons present.

Given:

- Number of protons = 22
- Number of electrons = 20

Calculating the net charge: $$ \text{Net charge} = 22 \times \left(+1.6 \times 10^{-19} \ \mathrm{C}\right) + 20 \times \left(-1.6 \times 10^{-19} \ \mathrm{C}\right) $$

$$ = 22 \times 1.6 \times 10^{-19} \ \mathrm{C} + 20 \times -1.6 \times 10^{-19} \ \mathrm{C} $$

$$ = 35.2 \times 10^{-19} \ \mathrm{C} - 32 \times 10^{-19} \ \mathrm{C} $$

$$ = 3.2 \times 10^{-19} \ \mathrm{C} $$

Therefore, the net charge of the particle is **$+3.2 \times 10^{-19} \ \mathrm{C}$**, which corresponds to option **A**.

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