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# GATE 2024 Electromagnetic Fields Rank Booster Quiz 21

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Question 1

Determine the cartesian components of the vector form from A(r = 5, θ = 110°, ϕ = 200°) to B(r = 7, θ = 30°, ϕ = 70°).

Question 2

An infinite uniform line charge of 2μC is located on Z axis . Find electric field E at point P(1,2,3) in Cartesian coordinates .

Question 3

A charge cloud is distributed through a spherical volume. The charge is non-uniformly distributed with a distribution ρv = ρor C/m3, where ρo = 10–7 and r is the distance from the centre of the sphere. The total charge (in mC) in a sphere of radius ro = 10 m is?

Question 4

Let D = 8ρsinϕ aρ + 4ρ cosϕ aϕ C/m2. Find the volume charge density at P(2.6, 38°, – 6.1) and also calculate how much charge is located inside the region defined by 0 < ρ < 1.8, 20° < ϕ < 70°, 2.4 < z < 3.1?

Question 5

In a certain, at a frequency 90 GHz, the magnitudes of conduction current density and displacement current densities are equal, If the medium has conductivity of 10 , the relative permittivity of the medium is given by

Question 6

A point charge of 5 nC is located at origin. If V=2V at B(0, 6, –8), then the potential at A(–3, 2, 6) is

Question 7

Given the non-uniform field E = yax + xay + 2az .Determine the work expended in carrying 2C from B(1, 0, 1) to A(0.8, 0.6, 1) along the shorter arc of the circle (in Joules) and x2 + y2 = 1, z = 1
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