Lesson 6.1 – Electric Charge & Coulomb’s Law (35 Prompts)

Foundation (1–10)

1. Define electric charge.

2. State the unit of charge.

3. Distinguish positive and negative charges.

4. State Coulomb’s law.

5. Identify factors affecting electrostatic force.

6. Write formula F = kq₁q₂/r².

7. Define electric constant k.

8. Describe attraction and repulsion.

9. State meaning of inverse-square law.

10. Draw simple diagram of two charges.

Intermediate (11–23)

11. Calculate force between two charges.

12. Explain effect of doubling charge.

13. Explain effect of doubling distance.

14. Compare gravitational and electrostatic force qualitatively.

15. Solve direction of force between charges.

16. Describe principle of superposition.

17. Sketch force vs distance graph.

18. Interpret charge interaction scenarios.

19. Calculate force using vector components.

20. Explain role of medium using permittivity.

21. Compare force in vacuum vs dielectric.

22. Solve multi-charge force system.

23. Describe experimental challenges in measuring Coulomb force.

Advanced (24–35)

24. Derive Coulomb’s law vector form.

25. Analyze charge distribution effects on force.

26. Solve multi-dimensional vector force problems.

27. Evaluate limit cases for very small/large distances.

28. Compare electrostatic force with nuclear force qualitatively.

29. Solve continuous charge distribution (conceptual).

30. Explain dielectric breakdown.

31. Analyze electric field created by charge distribution using force method.

32. Derive force from electric field relation.

33. Evaluate Coulomb law validity at quantum scale.

34. Model interaction using calculus.

35. Apply Coulomb law to practical engineering systems.

Lesson 6.2 – Electric Field & Electric Field Intensity (35 Prompts)

Foundation (1–10)

1. Define electric field.

2. Write E = F/q.

3. Identify unit of E.

4. Draw field lines for positive charge.

5. Draw field lines for negative charge.

6. Define electric field intensity.

7. State direction of electric field lines.

8. Distinguish uniform and non-uniform fields.

9. Identify radial field.

10. State field due to point charge.

Intermediate (11–23)

11. Calculate field at distance from charge.

12. Explain superposition of electric fields.

13. Sketch field for dipole.

14. Describe behaviour of test charge.

15. Compare strong vs weak field regions.

16. Explain why field lines never cross.

17. Derive E = kQ/r².

18. Solve two-charge electric field magnitude.

19. Determine net field direction from vector addition.

20. Sketch field around parallel plates.

21. Explain relation between field and potential gradient.

22. Compare electric and gravitational fields.

23. Solve multi-charge electric field system.

Advanced (24–35)

24. Derive field equation using Gauss’s law (point charge).

25. Solve continuous line charge E-field (qualitative).

26. Analyze 2D/3D field vector diagrams.

27. Model field near conductor surface.

28. Explain shielding in conductors.

29. Solve advanced superposition with calculus.

30. Compare radial, uniform, and dipole fields mathematically.

31. Derive parametric expressions for field lines.

32. Analyze field distribution inside cavity of conductor.

33. Solve electric field near dielectric boundaries.

34. Evaluate limits of classical field concept.

35. Apply E-field principles to particle accelerators.

Lesson 6.3 – Electric Potential & Potential Energy (35 Prompts)

Foundation (1–10)

1. Define electric potential.

2. Write V = W/q.

3. State unit of electric potential.

4. Define potential difference.

5. Draw equipotential lines for point charge.

6. State relation between potential and energy.

7. Define electric potential energy.

8. Identify zero potential reference.

9. Give example of potential difference.

10. Explain why equipotentials never cross.

Intermediate (11–23)

11. Calculate potential at distance r from charge.

12. Solve potential energy change for charge displacement.

13. Explain relation E = −dV/dr.

14. Sketch equipotential surfaces for dipole.

15. Compare electric field and potential.

16. Solve potential difference between two points.

17. Analyze potential distribution in uniform field.

18. Determine potential from field graph.

19. Calculate potential for multiple charges.

20. Explain potential well.

21. Evaluate potential difference across plates.

22. Compare scalar nature of potential with vector nature of field.

23. Model potential around conductor.

Advanced (24–35)

24. Derive V = kQ/r using work-energy.

25. Analyze potential for ring/rod distributions (qualitative).

26. Solve multi-body potential energy system.

27. Model potential map using calculus.

28. Compare potential wells for electrons and protons.

29. Evaluate energy of charge in non-uniform field.

30. Derive potential for infinite line charge.

31. Solve continuous charge potential integral.

32. Analyze potential behaviour near conductors.

33. Evaluate electric potential in capacitors.

34. Compare electrostatic potential with gravitational potential.

35. Apply potential concepts to real engineering systems.

Lesson 6.4 – Electric Flux & Gauss’s Law (35 Prompts)

Foundation (1–10)

1. Define electric flux.

2. Write Φ = EA cosθ.

3. State unit of flux.

4. Define Gaussian surface.

5. State Gauss’s law.

6. Identify simple Gaussian surfaces.

7. Describe symmetric charge distributions.

8. Identify enclosed charge.

9. Draw field lines through surface.

10. Compare open and closed surfaces.

Intermediate (11–23)

11. Calculate flux through flat surface.

12. Explain why Gauss’s law requires symmetry.

13. Sketch field for infinite line charge.

14. Apply Gauss’s law to point charge.

15. Solve field of infinite plane.

16. Explain concept of flux entering/exiting.

17. Calculate flux through spherical surface.

18. Solve enclosed charge in cube.

19. Compare flux in surfaces of different sizes.

20. Determine field direction using symmetry.

21. Solve Gaussian cylinder problem.

22. Explain flux independence from distance.

23. Analyze electric field inside conductor.

Advanced (24–35)

24. Derive E = λ/2πε₀r for line charge.

25. Derive E = σ/2ε₀ for infinite sheet.

26. Model charge distribution with calculus.

27. Solve flux through non-uniform surface.

28. Analyze shielding using Gauss’s law.

29. Evaluate flux in complex geometries.

30. Solve multi-surface Gaussian problems.

31. Compare Gauss and Coulomb in derivations.

32. Analyze cavity field inside conductor.

33. Model E-field for spherical shells.

34. Discuss limitations of Gauss’s law.

35. Apply Gauss’s law in engineering design.

Lesson 6.5 – Capacitors & Capacitance (35 Prompts)

Foundation (1–10)

1. Define capacitance.

2. Write C = Q/V.

3. Identify unit of capacitance.

4. Define parallel plate capacitor.

5. State factors affecting capacitance.

6. Define dielectric.

7. Identify dielectric constant.

8. Draw capacitor symbol.

9. State energy stored in capacitor.

10. Describe charging process qualitatively.

Intermediate (11–23)

11. Derive C = εA/d.

12. Explain role of dielectric in capacitance.

13. Compare series and parallel capacitors.

14. Solve capacitor combination.

15. Calculate stored energy.

16. Sketch Q–V graph.

17. Analyze capacitor discharge qualitatively.

18. Solve partial dielectric capacitor.

19. Explain electric field inside capacitor.

20. Compare vacuum and dielectric capacitance.

21. Solve capacitance change with geometry.

22. Derive energy density u = ½εE².

23. Analyze polarisation in dielectric.

Advanced (24–35)

24. Solve multi-layer capacitor.

25. Model variable capacitor.

26. Derive capacitance for cylindrical capacitor.

27. Derive capacitance for spherical capacitor.

28. Analyze fringing effects.

29. Solve RC charging/discharging mathematically.

30. Evaluate capacitor efficiency.

31. Model E-field distribution in dielectric.

32. Solve complex network of capacitors.

33. Compare real vs ideal capacitor.

34. Analyze capacitor failure modes.

35. Apply capacitors to AC circuits conceptually.