Physics GRE GR 1777
5. Electrodynamics (Maxwell’s Equations)
Solution) In Maxwell’s equations, Ampère’s law (with Maxwell’s correction) is
We can write this equation as
where is the current (the electric displacement current). And is change of electric fields with respect to the time (rate of change of the electric flux).
If we assume that , and the current flows through a surface S, then we can clearly see that the electric displacement current through S is proportional to the rate of change of the electric flux through S.
Therefore, the answer is (E).
Another (and better) solution)
The definition of electric displacement current is
If you know this definition, the problem would be solved more easily.