Define and explain the gyromagnetic ratio and Landé g-factor, stating their physical importance.
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Derive an expression for the magnetic moment associated with orbital motion of an electron in an atom.
Starting from Coulomb's law, derive Gauss's law in differential form.
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.
calculate the force experienced by the charge q.
Define and explain the gyromagnetic ratio and Landé g-factor, stating their physical importance.
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.
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.