Question

the electric displacement current through a surface area s is proportional to the​

Answer 1

Answer:

J.C. Maxwell showed that for logical consistency, a changing electric field must also produce a magnetic field. Further, since magnetic fields have always been associated with currents, Maxwell postulated that this current was proportional to the rate of change of the electric field and called it displacement current.

Answer 2

The electric displacement current through a surface area s is proportional to the​ rate of change of electric flux through S.

• The magnetic field has been generated by an electric charge. J.C. Maxwell demonstrated that a changeable electric field must likewise create a magnetic field in order to be logically consistent.

A magnetic field can come from two places:

• Due to the passage of charges, there is a conduction electric current.

• Displacement current caused by the electric field's rate of change

Rate of change of electric flux through S because:

For a charged capacitor=$\frac{Q}{EoA}$

    Q=Eo∅ E

Displacement current is given by= $i_{d} =\frac{dQ}{dt}$ =Eo =d ∅E/dt

       =∅E----> electric flux

      = d∅/dt ---> rate of change of electric flux through S.