- Obtain an expression for the electric field intensity due to a uniformly charged ring of radius r at a point on the axis of the ring.
- Express Coulomb’s law in vector for.
- Derive an expression for the electric field due to an electric dipole at a point on (a) the axial line (b) the equatorial line.
- Derive an expression for the torque acting on an electric dipole placed in a uniform electric field.
- Show that the work done in rotating an electric dipole of dipole moment p in a uniform electric field E by an angle ? from the equilibrium postition W = PE(1-cos ?)
- Derive Coulomb’s law from Gauss’ law.
- Use Gauss theorem to derive an expression for the electric field at a point due to an infinite plane sheet of charge of uniform charge density ?
- Use Gauss theorem to derive an expression for the electric field at a point due to a thin infinitely long straight line of charge of uniform charge density ?
- Derive an expression for the electric field at a point due to uniformly charged spherical shell using Gauss’ law.
- Derive an expression for the capacitance of a parallel plate capacitor.
- Find the equivalent capacitance of three capacitors of capacitances C1, C2 and C3 connected in (1) series (2) parallel
- Derive an expression for the electric potential due to a point charge q at a distance r from it.
- Giving a labeled diagram explain the principle and working of a Van de Graaff generator.
- A dielectric slab of thickness t introduced between the plates of a parallel plate capacitor separated by a distance d. (t < d). DEerive an expression for the capacitance of the capacitor.

Feb 19

# Long ANswer Type Questions from Electrostatics

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