Advertisements
Advertisements
Answer the following question.
Draw the pattern of electric field lines when a point charge +q is kept near an uncharged conducting plate.
Concept: Electric Lines of Force
Answer the following question.
Derive an expression for the electric field due to a dipole of dipole moment `vec"p"` at a point on its perpendicular bisector.
Concept: Electric Lines of Force
Answer the following question.
State Gauss's law for magnetism. Explain its significance.
Concept: Gauss’s Law
Deduce the expression for the torque `vec"τ"` acting on a planar loop of area `vec"A"` acting on a planar loop of area `vec"B"`. If the loop is free to rotate, what would be its orientation in stable equilibrium?
Concept: Dipole in a Uniform External Field
State Gauss's law in electrostatics. Show, with the help of a suitable example along with the figure, that the outward flux due to a point charge 'q'. in vacuum within a closed surface, is independent of its size or shape and is given by `q/ε_0`
Concept: Gauss’s Law
State Gauss’s law on electrostatics and drive expression for the electric field due to a long straight thin uniformly charged wire (linear charge density λ) at a point lying at a distance r from the wire.
Concept: Gauss’s Law
An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.
Concept: Electric Dipole
The electric potential V as a function of distance X is shown in the figure.
The graph of the magnitude of electric field intensity E as a function of X is ______.
Concept: Electric Dipole
Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.7 × 10–22 C/m2. What is electric field intensity E:
- in the outer region of the first plate, and
- between the plates?
Concept: Continuous Charge Distribution
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
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
