Subjects physics

Electric Charge

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Electric Charge


1. **Stating the problem:** We need to understand what electric charge is based on subatomic particles and how bodies become positively or negatively charged. 2. **Definition of electric charge:** Electric charge is a fundamental property of subatomic particles. Protons have a positive charge (+1e), electrons have a negative charge (-1e), and neutrons have no charge (0e). The net electric charge of an object depends on the balance of these charges. 3. **How a body becomes charged:** a. A body becomes **positively charged** if it loses electrons, resulting in more protons than electrons. b. A body becomes **negatively charged** if it gains extra electrons, resulting in more electrons than protons. 4. **Computing the charge of ions:** The charge of an ion is calculated by multiplying the number of elementary charges by the charge of one electron, which is approximately $1.602 \times 10^{-19}$ coulombs (C). The conversion factor used is: $$1e = 1.602 \times 10^{-19} C$$ 5. **Given example:** For an ion with charge +3e: $$+3e = 3 \times 1.602 \times 10^{-19} C = 4.806 \times 10^{-19} C$$ 6. **Calculations for other ions:** b. Ion with charge -2e: $$-2e = -2 \times 1.602 \times 10^{-19} C = -3.204 \times 10^{-19} C$$ c. Ion with charge +5e: $$+5e = 5 \times 1.602 \times 10^{-19} C = 8.010 \times 10^{-19} C$$ d. Ion with charge -3e: $$-3e = -3 \times 1.602 \times 10^{-19} C = -4.806 \times 10^{-19} C$$ 7. **Summary:** The charge of an ion is the product of its charge number and the elementary charge. Positive ions have positive charge values, and negative ions have negative charge values. This completes the understanding and calculation of electric charges for the given ions.