Components of Current Density

Notice that the right side of the equation

consists of a complex conductivity multiplied by the complex value of E (-jwA-ÑF). Therefore, it is equal to the complex current density, J, which has three components:

• J_s, the source current density due to differences in electric potential,
  -sÑF.
• J_e, the induced eddy current density due to time-varying magnetic fields, - jwsA.
• J_d, the displacement current density (time-varying electric fields), jwe(-jwA-ÑF).

The total current density is the sum of these three components. The jw term in the eddy and displacement components indicate that they are a function of frequency and become increasingly significant as the frequency increases.