IGNOU MPH 3 SOLVED ASSIGNMENT

Ques 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 .

Ques 2.

Starting from Coulomb's law, derive Gauss's law in differential form.

Ques 3.

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.

Ques 4.

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,

Ques 5.

 determine the electrostatic potential in the region above the plane,

Ques 6.

calculate the force experienced by the charge q.

Ques 7.

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.

Ques 8.

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 .

Ques 9.

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

Ques 10.

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

Ques 11.

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.

Ques 12.

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.

Ques 13.

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 .

Ques 14.

Starting from Coulomb's law, derive Gauss's law in differential form.

Ques 15.

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.

Ques 16.

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,

Ques 17.

 determine the electrostatic potential in the region above the plane,

Ques 18.

calculate the force experienced by the charge q.

Ques 19.

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.

Ques 20.

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 .

Ques 21.

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

Ques 22.

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

Ques 23.

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.

Ques 24.

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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