Define and explain the gyromagnetic ratio and Landé g-factor, stating their physical importance.
The gyromagnetic ratio is defined as the ratio of the magnetic moment ( \vec{\mu} ) of a particle to its angular momentum ( \vec{J} ). Mathematically, it is expressed as: [ \gamma = \frac{\mu}{J} ] For an electron with orbital angular momentum ( \vec{L} ), the magnetic moment is __________ _____ _______ ___ ___ _____ _____ ______.
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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,
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.
Derive an expression for the magnetic moment associated with orbital motion of an electron in an atom.
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.
determine the electrostatic potential in the region above the plane,
calculate the force experienced by the charge q.
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.