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Electronics and Communication Engineering (ECE) : Electromagnetic Field Theory - Quiz(MCQ)
Calculate the charge density for the current density given 20sin x i + ycos z j at the origin.
A)
19t
B)
-20t
C)
20t
D)
21t

Correct Answer : Option (D) :   21t


Explanation : Using continuity equation, the problem can be solved. Div(J) =
– dρ/dt. Div(J) = 20cos x + cos z. At origin, we get 20cos 0 + cos 0 = 21. To get ρ, on integrating the Div(J) with respect to t, the charge density will be 21t.

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