A parallel-plate capacitor with circular plates is given a charge Q0. Between the plates is a leaky

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A parallel-plate capacitor with circular plates is given a charge Q0. Between the plates is a leaky dielectric having a dielectric constant of κ and a resistivity ρ.

(a) Find the conduction current between the plates as a function of time.

(b) Find the displacement current between the plates as a function of time. What is the total (conduction plus displacement) current?

(c) Find the magnetic field produced between the plates by the leakage discharge current as a function of time.

(d) Find the magnetic field between the plates produced by the displacement current as a function of time.

(e) What is the total magnetic field between the plates during discharge of the capacitor?


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