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Explain the term demodulation used in a communication system.
Concept: Basic Terminology Used in Electronic Communication Systems
Block diagram of a receiver is shown in the figure:

(a) Identify ‘X’ and ‘Y’.
(b) Write their functions.
Concept: Bandwidth of Signals
In the block diagram of a simple modulator for obtaining an AM signal, shown in the figure, identify the boxes A and B. Write their function.

Concept: Modulation and Its Necessity
Distinguish between ‘Analog and Digital signals’.
Concept: Bandwidth of Signals
How does the electric flux due to a point charge enclosed by a spherical Gaussian surface get affected when its radius is increased?
Concept: Electric Flux
(a) Derive an expression for the electric field E due to a dipole of length '2a' at a point distant r from the centre of the dipole on the axial line.
(b) Draw a graph of E versus r for r >> a.
(c) If this dipole were kept in a uniform external electric field E0, diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.
Concept: Electric Lines of Force
An infinitely large thin plane sheet has a uniform surface charge density +σ. Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point, distant r, in front of the charged plane sheet.
Concept: Uniformly Charged Infinite Plane Sheet and Uniformly Charged Thin Spherical Shell (Field Inside and Outside)
- Define torque acting on a dipole of dipole moment \[\vec{p}\] placed in a uniform electric field \[\vec{E}\] Express it in the vector from and point out the direction along which it acts. Express it in the vector from and point out the direction along which it acts.
- What happens if the field is non-uniform?
- What would happen if the external field
\[\vec{E}\] is increasing (i) parallel to \[\vec{p}\] and (ii) anti-parallel to \[\vec{p}\]?
Concept: Electric Dipole
A point charge (+Q) is kept in the vicinity of an uncharged conducting plate. Sketch the electric field lines between the charge and the plate?
Concept: Electric Lines of Force
A hollow cylindrical box of length 1 m and area of cross-section 25 cm2 is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by `vecE = 50xhati` where E is NC−1 and x is in metres. Find
(i) Net flux through the cylinder.
(ii) Charge enclosed by the cylinder.

Concept: Electric Field >> Electric Field Due to a System of Charges
A charge ‘q’ is placed at the centre of a cube of side l. What is the electric flux passing through each face of the cube?
Concept: Gauss’s Law
Define dipole moment of an electric dipole. Is it a scalar or a vector?
Concept: Electric Dipole
An electric dipole of dipole moment `vecP` is placed in a uniform electric field `vecE` with its axis inclined to the field. Write an expression for the torque `vecT` experienced by the dipole in vector form. Show diagrammatically how the dipole should be kept in the electric field so that the torque acting on it is:
- maximum
- Zero
Concept: Dipole in a Uniform External Field
Answer the following question.
Derive an expression for the electric field at any point on the equatorial line of an electric dipole.
Concept: Electric Dipole
The electric flux through a closed Gaussian surface depends upon ______.
Concept: Electric Flux
Derive the expression for the torque acting on an electric dipole, when it is held in a uniform electric field. identify the orientation of the dipole in the electric field, in which it attains a stable equilibrium.
Concept: Dipole in a Uniform External Field
The magnitude of the electric field due to a point charge object at a distance of 4.0 m is 9 N/C. From the same charged object the electric field of magnitude, 16 N/C will be at a distance of ______.
Concept: Electric Lines of Force
An electric dipole of length 2 cm is placed at an angle of 30° with an electric field 2 × 105 N/C. If the dipole experiences a torque of 8 × 10-3 Nm, the magnitude of either charge of the dipole is ______.
Concept: Dipole in a Uniform External Field
A point charge +Q is placed at point O, as shown in the figure. Is the potential difference VA – VB positive, negative or zero?

Concept: Potential Due to a Point Charge
Two parallel-plate capacitors X and Y have the same area of plates and same separation between them. X has air between the plates, while Y contains a dielectric medium of εr = 4.

(i) Calculate capacitance of each capacitor if the equivalent capacitance of the combination is 4 μF.
(ii) Calculate the potential difference between the plates X and Y.
(iii) Estimate the ratio of electrostatic energies stored in X and Y.
Concept: Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
