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# GATE 2022 : Electromagnetic Theory Quiz 3

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Question 1

If a scalar field V defined as , then the value of the div(grad V) is

Question 2

Find the value of .

Question 3

If (spherical co-ordinates) = (Cartesian co-ordinates) Then the value of A′= ______

Question 4

Consider two uniform sheet charges of infinite dimension. If first sheet charge is at x = 2 with surface charge density 5μC/m2 and second sheet charge is at z = 4 with surface charge density –10μC/m2.Then electrical field at (x = 1, y = 2 & z = 3) will be given by then (A + B + C + D) = ________.

Question 5

A unit sphere having centre at origin produce a potential field , for r 4. What is the charge within this sphere?

Question 6

What is the capacitance of spherical capacitor formed by an inner sphere of radius 2m and an outer sphere of radius 3m?
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