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Electromagnetic Fields : Nuclear Quiz 1

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Question 1

Two-point charges of 9C and 36C are located on x-axis at a separation of 3 m. A third point charge q is placed on the x-axis at a distance d from the 36 C charge which makes the entire system in equilibrium. The value of q and d are

Question 2

Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image197.png
If the field represent by Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image198.png is solenoidal, then the value of k is given by___.

Question 3

Given If ‘S’ represents the portion of sphere
x2 + y2 + z2 = 4 ,y > 0

Question 4

Given the vector
, where denote unit vectors along x, y directions, respectively. The magnitude of curl of A is ___

Question 5

The region specified by
in cylindrical coordinates has volume of ____

Question 6

If a vector field ‘V’ is related to another vector field through , then which of the following is true?

Question 7

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

Question 8

The angle θAB between the vectors A = + 3ax + 4ay + az and B = 2ay –5az is nearly

Question 9

The value of  where

at a point (2, –2, 2) is

Question 10

If a potential, V = 10e–5x volts, , then Find the value of electric field intensity.
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