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3. Coulomb’s Law
The force on one charge due to another charge.
𝑟 12
𝑟 12
𝐹 12 q1 q2
𝐹 12 =𝑘 𝑞 1 𝑞 2 𝑟 𝑟 12

4. Applied to Continuous Charge Distributions
Coulomb’s Law
Applied to Continuous Charge Distributions +

5. Applied to Continuous Charge Distributions
Coulomb’s Law
Applied to Continuous Charge Distributions
Break charge
distribution into
infinitesimal pieces
and sum (integrate)
contributions. +

6. Applied to Continuous Charge Distributions
Coulomb’s Law
Applied to Continuous Charge Distributions
𝑑 𝐹
𝑑 𝐹 =𝑘 𝑑 𝑞 1 𝑞 2 𝑟 2 𝑟 q2 + 𝑟
dq1

7. Example: Determine the electric field above the midpoint of a uniform line of charge.
λ≡ charge length
σ≡ charge area
ρ≡ charge volume
𝑑𝑞=λ𝑑𝑥 h
λ= 𝑄 𝐿 Q L

8. Example: Determine the electric field above the midpoint of a uniform line of charge.Q L

9. Example: Determine the electric field above the midpoint of a uniform line of charge.Q L
Determine the electric field due to an infinite line of charge.

10. Example: Determine the force on a charge in line with a uniform line of charge.q0 Q L d

11. Example: Determine the electric field above the center of a uniform ring of charge.Q R

12. Example: Determine the electric force on an electron above the center of a uniform disk of charge.𝜎 R

13. Example: Determine the electric force on an electron above an infinite plane of uniform charge.