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Calculate the displacement current density when the electric flux density is 20sin 0.5t.

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Calculate the displacement current density when the electric flux density is 20sin 0.5t.

(a) 10sin 0.5t

(b) 10cos 0.5t

(c) 20sin 2t

(d) 20cos 2t

I had been asked this question in class test.

Question is taken from Displacement and Conduction Current topic in section Electric Fields in Material Space of Electromagnetic Theory

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Correct option is (b) 10cos 0.5t

For explanation: The displacement current density is given by, Jd = dD/dt.

Jd = d(20sin 0.5t)/dt = 20cos 0.5t (0.5) = 10cos 0.5t.

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