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IGNOU MPH-03 (January 2025 – December 2025) Assignment Questions
1. A cylindrical conducting rod of diameter d and length l (l >> d) is uniformly charged such that the electric field near its surface and far from its ends is 
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 >> l) 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.
IGNOU MPH-03 (January 2024 – December 2024) Assignment Questions
