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Complex permittivity in electric currents physics

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This seems like a simple question but I can't find a clear answer in the documentation. I wish to solve for the electric field induced by a conductive particle surrounded by an insulating membrane in an external field. Obviously the high frequency AC cases are the most interesting. I've modeled this using the electric currents module.

My question is this: when I use the frequency domain analysis, does COMSOL solve the complex Laplace equation and complex permittivity values? I want to make sure the the effects of frequency are being properly captured here. Is that the main difference between the electrostatics and electric currents physics?

If not, how might I go about seeing how the polarization of my particle changes with frequency?

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