Advertisements
Advertisements
An electric dipole of dipole moment 2 × 10-8 C-m in a uniform electric field experiences a maximum torque of 6 × 10-4 N-m. The magnitude of the electric field is ______.
Concept: Dipole in a Uniform External Field
A charge Q is placed at the centre of a cube. The electric flux through one of its faces is ______.
Concept: Gauss’s Law
Define an equipotential surface.
Concept: Equipotential Surfaces
When an AC source is connected to an ideal capacitor, show that the average power supplied by the source over a complete cycle is zero
Concept: Capacitors and Capacitance
A bulb is connected in series with a variable capacitor and an AC source as shown. What happens to the brightness of the bulb when the key is plugged in and capacitance of the capacitor is gradually reduced?

Concept: Capacitors and Capacitance
A capacitor of capacitance C is charged fully by connecting it to a battery of emf E. It is then disconnected from the battery. If the separation between the plates of the capacitor is now doubled, how will the following change?
(i) charge stored by the capacitor.
(ii) Field strength between the plates.
(iii) Energy stored by the capacitor.
Justify your answer in each case.
Concept: Capacitors and Capacitance
Draw a sketch of equipotential surfaces due to a single charge (-q), depicting the electric field lines due to the charge
Concept: Equipotential Surfaces
Write a relation for polarisation `vecP`of a dielectric material in the presence of an external electric field `vecE .`
Concept: Dielectrics
Explain briefly the process of charging a parallel plate capacitor when it is connected across a d.c. battery
Concept: The Parallel Plate Capacitor
A capacitor of capacitance ‘C’ is charged to ‘V’ volts by a battery. After some time the battery is disconnected and the distance between the plates is doubled. Now a slab of dielectric constant, 1 < k < 2, is introduced to fill the space between the plates. How will the following be affected? (a) The electric field between the plates of the capacitor Justify your answer by writing the necessary expressions.
Concept: Capacitors and Capacitance
A capacitor of capacitance ‘C’ is charged to ‘V’ volts by a battery. After some time the battery is disconnected and the distance between the plates is doubled. Now a slab of dielectric constant, 1 < k < 2, is introduced to fill the space between the plates. How will the following be affected? (b) The energy stored in the capacitor Justify your answer by writing the necessary expressions
Concept: Capacitors and Capacitance
Deduce the expression for the potential energy of a system of two charges q1 and q2 located `vec(r_1)` and `vec(r_2)`, respectively, in an external electric field.
Concept: Potential Energy in an External Field >> Potential Energy of a System of Two Charges in an External Field
How does polarised dielectric modify the original external field?
Concept: Dielectrics
(i) Find equivalent capacitance between A and B in the combination given below. Each capacitor is of 2 µF capacitance.

(ii) If a dc source of 7 V is connected across AB, how much charge is drawn from the source and what is the energy stored in the network?
Concept: Capacitors and Capacitance
A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor.
Concept: Electrostatics of Conductors
Two identical capacitors of 12 pF each are connected in series across a battery of 50 V. How much electrostatic energy is stored in the combination? If these were connected in parallel across the same battery, how much energy will be stored in the combination now?
Also find the charge drawn from the battery in each case.
Concept: Capacitors and Capacitance
Draw equipotential surfaces:
(1) in the case of a single point charge and
(2) in a constant electric field in Z-direction. Why are the equipotential surfaces about a single charge not equidistant?
(3) Can electric field exist tangential to an equipotential surface? Give reason
Concept: Equipotential Surfaces
A point charge Q is placed at point 'O' as shown in the figure. Is the potential at point A, i.e. VA, greater, smaller or equal to potential, VB, at point B, when Q is (i) positive, and (ii) negative charge?
Concept: Potential Energy of a System of Charges
Define the capacitance of a capacitor. Obtain the expression for the capacitance of a parallel plate capacitor in vacuum in terms of plate area A and separation d between the plates.
Concept: The Parallel Plate Capacitor
A slab of material of dielectric constant K has the same area as the plates of a parallel plate capacitor but has a thickness \[\frac{3d}{4}\]. Find the ratio of the capacitance with dielectric inside it to its capacitance without the dielectric.
Concept: The Parallel Plate Capacitor
