IGNOU MPH 3 SOLVED ASSIGNMENT

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MPH 3 2025 - English

Tutor Marked Assignment

ELECTROMAGNETIC THEORY

Course Code: MPH-003

Assignment Code: MPH-003/TMA/2025

Max. Marks: 50

Note: Attempt all questions. The marks for each question are indicated against it.

1. A cylindrical conducting rod of diameter d and length /(/ >> d) is uniformly charged such that the electric field near its surface and far from its ends is Eg as shown in the Figure below. The total charge on the rod is Q and the charge per unit length is λ. Calculate the electric field at a distance r (r >> /) from the centre of the rod along its axis.

2. Show that Poisson’s equation follows from Gauss’s law for electrostatics. Write the general form of Poisson’s equation and its solution and apply it for electrostatic potential due to a charge distribution.

3. A charged infinite straight wire having uniform linear charge density λ is placed at a distance b above a grounded conducting plane. Determine the electric potential in the region above the plane using the method of images.

4. Define displacement vector  and deduce Gauss’s law in a dielectric medium.

5. Calculate the magnetic vector potential due to an infinite straight current carrying wire at a point located at distance r along a direction perpendicular to the wire. The current I in the wire is flowing in the x-direction.

6. Obtain an expression for the dipole moment of magnetic dipole arising due to atomic current in terms of the angular momentum of electron in the atom. Also explain the terms gyro-magnetic ratio and Lande g-factor.

7. An infinite long wire carries a current 1 A. The wire is bent so as to have a semicircular shape around the origin with radius 1 cm as shown in the Figure below. Calculate the magnetic field at the origin O and determine the direction of the field with respect to the plane of the paper.

8. What do you understand by the term reluctance? Obtain an expression for reluctance in a magnetic circuit made of an iron ring magnetised by a current flowing through a coil wound closely over it.

MPH 003 (January 2026 - July 2026) - ENGLISH

Tutor Marked Assignment

ELECTROMAGNETIC THEORY

Course Code: MPH-003

Assignment Code: MPH-003/TMA/2026

Max. Marks: 50

Note: Attempt all questions. The marks for each question are indicated against it.

1. A uniformly charged solid cylinder of radius a and length L carries a total charge Q. Assuming the observation point lies at a distance x from the centre of the cylinder along its axis and that , derive an expression for the electric field on the axis of the cylinder. Discuss the limiting case when .

2. a) Starting from Coulomb's law, derive Gauss's law in differential form.
b) Obtain Poisson's equation for electrostatics using the result derived in (a) above. Write down the general solution of Poisson's equation and explain its physical significance for a given charge distribution.

3. An infinite plane conducting surface is held at zero potential. A point charge q is placed at a distance d above the plane. Using the method of images,

a) determine the electrostatic potential in the region above the plane,

b) calculate the force experienced by the charge q.

4. Define the electric displacement vector . Starting from Maxwell's equations, deduce Gauss's law in dielectric media. Explain the physical significance of bound and free charges.

5. Obtain an expression for the magnetic vector potential,  due to a circular current loop of radius a carrying steady current I, at a point on its axis at distance x from the centre. Discuss the limiting case for .

6. a) Derive an expression for the magnetic moment associated with orbital motion of an electron in an atom.

b) Define and explain the gyromagnetic ratio and Landé g-factor, stating their physical importance.

7. A long straight wire carries a steady current I. The wire is bent to form a circular arc of angle and radius R. Calculate the magnetic field at the centre of curvature and determine its direction using the right-hand rule.

8. What is meant by magnetic reluctance? Derive an expression for the reluctance of a composite magnetic circuit consisting of an iron core and an air gap. Clearly state the assumptions made.

 

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