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Calculate the charge density for the current density given 20sin x i + ycos z j at the origin.(a) 20t(b) 21t(c) 19t(d) -20tThe question was posed to me in a job interview.Enquiry is from Continuity Equation in portion Electric Fields in Material Space of Electromagnetic Theory

Answer»

Correct option is (B) 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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