Electrostatic Potential and Capacitance

Section A:

  1. Define electric field. Write its SI unit.
  2. State Coulomb's law. What is its mathematical expression?
  3. Derive the expression for electric potential due to a point charge.
  4. Explain the working principle of a capacitor and derive the expression for the capacitance of a parallel plate capacitor.
  5. What is an RC circuit? Derive the expression for the time constant of an RC circuit.

Section B: 6. Derive Gauss's law. How is it useful in finding electric field due to a distribution of charges?

  1. What is an electric dipole? Derive the expression for electric field due to an electric dipole.
  2. What is an AC circuit? Derive the expression for the average power dissipated in an AC circuit.
  3. Explain the working of a transformer and derive the expression for the voltage transformation ratio.
  4. Define diffraction and explain its types.

Section C: 11. What is electromagnetic induction? Explain Faraday's law of electromagnetic induction.

  1. Derive the formula for the force between two parallel current-carrying conductors.
  2. Explain the Bohr model of the atom and its limitations.
  3. What is a PN junction? Explain the working of a PN junction diode.
  4. Define electric polarization. What are the different types of polarization?

Instructions:

  • All questions are compulsory.
  • There are three sections A, B, and C.
  • Section A contains 5 one-mark questions, Section B contains 5 two-mark questions, and Section C contains 5 three-mark questions.
  • Write the answers to each section in separate answer sheets.
  • Use of calculators is permitted.
  • You have 3 hours to complete the exam.
  • All the best!