Section A: Multiple Choice Questions
Which of the following statements is true for electric field lines? a) They always originate from positive charges b) They always terminate at negative charges c) They can never cross each other d) All of the above
The electric potential at a point is defined as: a) The work done in bringing a unit positive charge from infinity to that point b) The work done by a unit positive charge in moving from infinity to that point c) The work done by a unit positive charge in moving from that point to infinity d) The work done in taking a unit negative charge from infinity to that point
The unit of capacitance is: a) Farad b) Ohm c) Henry d) Tesla
In an RC circuit, the voltage across the capacitor and the resistor are given by: a) Vc = V0 (1 - e^-t/RC) and Vr = V0 (e^-t/RC) b) Vc = V0 (e^-t/RC) and Vr = V0 (1 - e^-t/RC) c) Vc = V0 e^-t/RC and Vr = V0 e^-t/RC d) Vc = V0 (1 + e^-t/RC) and Vr = V0 (1 - e^-t/RC)
The direction of induced emf in a coil is given by: a) Lenz's law b) Faraday's law c) Ampere's law d) Coulomb's law
Section B: Short Answer Type Questions
- State Coulomb's law. How does it help in defining the electric field?
- Derive the expression for electric field due to an electric dipole.
- Explain Gauss's law. How is it useful in calculating electric fields?
- Define electric potential. Derive its expression due to a point charge.
- Explain the working principle of a capacitor. Derive the expression for its capacitance.
Section C: Long Answer Type Questions
- Derive the expression for the time constant of an RC circuit. Explain its significance.
- Derive the formula for the average power dissipated in an AC circuit. How does it differ from the power dissipated in a DC circuit?
- Explain the working of a transformer. Derive the expression for the voltage transformation ratio.
- What is electromagnetic induction? Explain Faraday's law of electromagnetic induction. Give some practical applications of electromagnetic induction.
- Explain the Bohr model of the atom. What are its limitations? How does it explain the atomic spectra?
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