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2 D 31828

Section B (Paragraph/Problem Type)

Answer all questions in a paragraph of about half a page to one page.

Each question answer carries a maximum of 5 marks.
Prove that the curl of the gradient of a function is zero.
Find the electric field (magnitude and direction) at a distance z above the midpoint between two

equal charges 0, ೩ distance d apart.

Suppose the electric field in some region is found to be EK = kr°?, in spherical polar coordinates,

where k is some constant. Determine the charge density.
Explain why the electric field and charge density vanishes inside a conductor.
Compare the curl of E and Din electrostatics.

Give an expression for the field of a magnetized object. Explain the physical meaning of the

expression,
Explain the hysteresis loop of ferromagnets.
(Ceiling 30)
Section C (Essay type)

Answer in about two pages, any one question.
Answer carries 10 marks.

What do you mean by the curl of a vector function ? Explain its geometrical interpretation. Explain
Stokes’ theorem and give its geometrical interpretation.

Using suitable figures, discuss the magnetostatic boundary conditions.

(1 x 10 = 10 marks)

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