Final answer:
In physics, particularly electromagnetism, the student's question pertains to computing the displacement current through a circular area in a plane with a variable electric field that depends on the x-coordinate.
Step-by-step explanation:
The given scenario involves a variable electric field in the z-direction which varies with the x-coordinate. The magnitude of the electric field is E = 700(N/cm) × x. This field configuration is a typical subject in electromagnetism, a branch of physics that studies the interaction of electric and magnetic fields.
Calculate Displacement Current
To find the displacement current through a circular area in the plane where x = 0 at t = 0, we must use Maxwell's displacement current concept. Assuming the given electric field equation Ex, we can compute the corresponding displacement current density using the equation JD = ε0 ∂E/∂t, where ε0 is the vacuum permittivity. With the area of the circle A = πr2 and r = 3 cm, we can determine the total displacement current passing through the area by integrating the current density over the area.
For additional exploration of the concept, you can compare this scenario to other configurations of electric fields, such as those produced by charges or varying with time.