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# GATE 2023 EMT Rank Booster Quiz 36

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Question 1

If then the value of div curl at (1, -1, 1) is _________.

Question 2

In charge free space the Poisson’s equation results in which of the following?

Question 3

In cylindrical co-ordinates, This equation is called ___.

Question 4

If divergence is represented by D and curl is represented by C, which of the following is true about the given figure? Question 5

Let D = 2xax + 3yay + zaz nC/m2. Find the amount of electric flux crossing the surface defined by 0 ≤ x ≤ 1, 1 ≤ y ≤ 3, 0 ≤ z ≤ 2 is ………..nC

Question 6

In spherical coordinates V = 0 for r = 0.1 m and V = 100 for r = 2.0 m. Assuming free space between there concentric spherical shells. Find E i.e. electric field intensity at r = 3m.

Question 7

In free space, if the potential field V = –80r0.6 volt (where r is in spherical coordinates), then the charge density (in pC/m3) at r = 0.5 m is____
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