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GATE EC 2020: Electromagnetic Theory Quiz 2 (App update required to attempt this test)
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Question 1
The electric field vector in spherical coordinates (r,
,
) is given by
= 
The potential of point (r=2 m,
=
, 
=0) with respect to (r=4 m,
=
, 
=
)is given by
,) is given by = The potential of point (r=2 m,
=, =0) with respect to (r=4 m,=, =)is given by Question 2
Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities of 
respectively. The value of 
required to ensure that the electric flux density 
at radius 10 m is ______.
respectively. The value of required to ensure that the electric flux density at radius 10 m is ______. Question 3
A region y > 0 consists of a dielectric medium and the region y<0 is a conductor. For the surface charge 4nC/m2 on the conductor and ϵr1=3(dielectric medium) . Find electric field intensity E at the points A(1,-2,1) and B(1,2,1).
Question 4
The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permittivity 
is
is Question 5
An interface (z = 0) between two different materials contains a uniform surface charge density ρs = 
C/
. Electric field intensity in material (1) occupying the left of an interface (z < 0) with Ɛ1 = 4 Ɛ0 is Ē = 10 âx + 2 ây – 10 âz V/m. The electric field intensity in material (2) occupying the right of interface (z > 0) with Ɛ2 = 2 Ɛ0 is
C/. Electric field intensity in material (1) occupying the left of an interface (z < 0) with Ɛ1 = 4 Ɛ0 is Ē = 10 âx + 2 ây – 10 âz V/m. The electric field intensity in material (2) occupying the right of interface (z > 0) with Ɛ2 = 2 Ɛ0 is Question 6
Suppose we have an electric field 
= 
. (-3C) charge is to be carried from point (3,-4,1) to (-1,2,3). Determine the work done (in J) to do so.
= . (-3C) charge is to be carried from point (3,-4,1) to (-1,2,3). Determine the work done (in J) to do so.- 272 attempts
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