Electrostatic Potential and Capacitance
  1. Derive an expression for the electric field due to a charged spherical shell at any point outside the shell. Explain the result obtained.
  2. State Coulomb's law and explain its significance. A point charge of 2 μC is placed at a distance of 5 cm from another point charge of 3 μC. Calculate the force between them.
  3. A charged particle of mass 2 x 10^-4 kg and charge 3 x 10^-5 C is released from rest in an electric field of 6 x 10^4 N/C. Calculate the time taken by the particle to travel a distance of 10 cm.
  4. Define an electric dipole and derive an expression for its electric potential at any point along the axial line.
  5. State Gauss's law and explain its significance. Use Gauss's law to find the electric field due to an infinite sheet of charge of uniform density σ.
  6. Explain the concept of electric flux. A charge q is enclosed by a sphere of radius r. Calculate the electric flux through the surface of the sphere.
  7. Derive an expression for the capacitance of a parallel plate capacitor. Explain the factors that affect the capacitance of a capacitor.
  8. State the principle of a potentiometer. Explain how it can be used to compare the emf of two cells
  9. What is a dielectric? How does it affect the capacitance of a parallel plate capacitor?
  10. What is an RC circuit? Derive the expression for the time constant of an RC circuit.
  11. What is an AC circuit? Derive the expression for the average power dissipated in an AC circuit.
  12. What is an inductor? Derive the expression for the energy stored in an inductor.
  13. What is electromagnetic induction? Explain Faraday's law of electromagnetic induction.
  14. Derive the expression for the mutual inductance of two coils.
  15. Explain Lenz's law and its significance.
  16. What is an LC circuit? Derive the expression for the resonant frequency of an LC circuit.
  17. Explain the working of a transformer and derive the expression for the voltage transformation ratio.
  18. What is a rectifier? Explain the working of a full-wave rectifier.
  19. Define the term wavefront. Explain Huygens' principle of wave propagation.
  20. What is the difference between longitudinal and transverse waves?
  21. What is the principle of superposition of waves? Derive the expression for the resultant amplitude of two waves.
  22. What is interference of waves? Explain constructive and destructive interference.
  23. Define the term diffraction and explain its types.
  24. What is polarization of light? Explain Malus's law.
  25. What is the Doppler effect? Derive the expression for the Doppler effect in sound.