1. Due to Continuous Charge Distributions
Forces and Fields
Due to Continuous Charge Distributions
Draw from a random position in the charge distribution to the location of interest.
Define a coordinate system.
Determine and .
Determine the charge density, λ, σ or ρ.
Determine the differential bit of charge, dq.
Determine the limits of integration.

2. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

3. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

4. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

5. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

6. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

7. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

8. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

9. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

10. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

11. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.

12. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.
The x-component must be 0 due to symmetry.

13. Determine the force on a semicircle of charge, Q, with radius, R, due to a charge, qo, at the center.
On a test, the integral should be solved because it is trivial.