When I study about inductors I found that inductors have a constant value and value of inductance depends upon the permeability of core. And when I see the hysteresis curve then found that permeability depends on magnetising current and initial state of core(if it has retained some magnetism earlier). So I think inductor is non-linear in pure sense but approximated to linear. And in capacitors also due to analogous nature we can predict that it also nonlinear and capacitance is also not fixed due to variable permittivity.
Permeability of any material is the product of relative permeability, and absolute permeability(permeability of air).
Capacitors(C) and inductor(L) are not linear in true sense as, C= dq/dv, the variation of charge, with variation of voltage, is not constant( dq reduceses with saturation).
Inductance(L) is, L=do/di, the variation of flux, with variation of current ,is reduceses with saturation, as B-H curve is having knee and ancle portion, though is linear in middle portion.
thank u sir.
Does the knee and ancle portion of B-H curve tells us that permeability or relative permeability has different value in linear range , knee and ancle portion ??? i mean does the permeability depends on the H(=NI) ?
Dear Sarvesh Singh, Permittivity is determined by how much a medium can polarize in response to an electric field. The Electric permittivity is connected to the energy stored in an electric field. Permeability is a measure of the ability to form a magnetic field inside of a medium. The magnetic permeability is connected to the energy stored in a magnetic field.
Ahmad sir.
my second question was if the extent of polarization i.e. value of relative permittivity depends upon the amount of electric field?
and analogously if the value of relative permeability varies with current applied through the inductor ?
Dear Sarvesh Singh sir,
Ist part : Permittivity and permeability can be a complex quantity in different mediums if we go further into details. For example, in homogeneous medium, they are constant while for isotropic medium they are scalar constant.
2nd part : Capacitors and inductors can be linear or non-linear which depends upon many factors. Ex- using iron core will show a non-linear behaviour for inductor whereas using air-core will show linear behaviour for inductor. Linearity of these elements also depends upon various factors like medium, material used in the fabrication etc
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