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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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Jun 20ESE & GATE EE