Work Sheet 3 Electrostatic Potential and Capacitance

 

1. State Coulomb's law and explain the significance of electric field intensity.
2. Derive the expression for electric potential due to a point charge.
3. Define electric field intensity and explain its significance.
4. Explain Gauss's law and derive the expression for the electric field due to an infinite plane sheet of charge.
5. Explain the principle of a Van de Graaff generator and how it works.
6. State the principle of a capacitor and derive the expression for the capacitance of a parallel plate capacitor.
7. Derive the expression for electric field intensity due to a uniformly charged spherical shell.
8. Two point charges, +q and -q, are placed at a distance d apart. Calculate the electric field at a point P on the line joining the charges and at a distance x from -q.
9. A parallel plate capacitor is charged with a battery and then disconnected from it. How does the electric field and potential difference between the plates change as the distance between the plates is increased?
10. Derive the expression for electric field intensity at a point due to a uniformly charged thin circular ring.
11. Explain the concept of electric flux and derive the expression for the electric flux through a spherical surface of radius R centered at a point charge Q.
12. A conducting sphere of radius R is charged with a charge Q. Derive the expression for the electric field inside and outside the sphere.
13. Define dipole moment and explain its significance.
14. Derive the expression for the electric field intensity due to an electric dipole at a point on the axial line.
15. Define potential difference and explain its significance.
16. Derive the expression for the electric potential due to a uniformly charged thin spherical shell.
17. Two charges, +q and -q, are placed at a distance d apart. Calculate the electric potential at a point P on the line joining the charges and at a distance x from -q.
18. State the principle of a cyclotron and explain how it works.
19. Define dielectric constant and explain its significance.
20. Derive the expression for the capacitance of a spherical capacitor.
21. Derive the expression for the electric field intensity due to a uniformly charged thin infinite plane sheet.
22. Define polarisation and explain its significance.
23. Derive the expression for the electric potential due to a uniformly charged solid sphere.
24. Derive the expression for the electric field intensity due to a uniformly charged thin rectangular sheet.
25. Define magnetic field intensity and explain its significance.
26. State Ampere's circuital law and derive the expression for the magnetic field due to an infinitely long straight current-carrying wire.
27. Derive the expression for the magnetic field due to a circular loop carrying current.
28. Define magnetic moment and explain its significance.
29. Derive the expression for the magnetic field due to a current-carrying coil at a point on the axis.
30. State the principle of a moving coil galvanometer and explain how it works.
31. Define electromagnetic induction and explain its significance.
32. State Faraday's laws of electromagnetic induction and Lenz's law.
33. Derive the expression for the induced emf in a straight conductor moving in a uniform magnetic field.
34. Derive the expression for the self-inductance of a solenoid.
35. Define mutual inductance and explain its significance.
36. Derive the expression for the mutual inductance of two coaxial solenoids.
37. State the principle of a transformer and derive the expression for the voltage ratio in an ideal transformer.
38. Define AC circuit and explain its significance.