Figure 11.5
11.6 Displacement and Conduction Current Densities. A capacitor is made of two parallel plates with a dielectric
between them. The relative permittivity of the dielectric is εr ¼ 4, the distance between plates is d ¼ 1 mm, and the
area of each plate is S ¼ 100 mm2. Because of an accident, the dielectric became wet with a salt solution and therefore
became conducting with conductivity σ ¼ 103 S/m. If the capacitor is connected to an AC source of amplitude V [V]
and frequency ω [rad/s], show that:
(a) The ratio between the amplitudes of the conduction current density and displacement current density is