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where L is scalar known as self-inductance and depends only on the magnetic
permittivity μ of the media and the geometric parameters ΠL that determine the
size and the shape of the contour:

(39)                 L = f (μ, ∏ L)

Self-inducted voltage VL appears every time in electric cable when there is
change of the current i and this self-inducted voltage opposes to the change of
the current:

(40)               VL = — L ∙ dt

Maxwell’s equations

In order to summarize the presented basic principles of electromagnetism it is
useful to write down the Maxwell’s equations. Although these equations have
been worked out a century ago they present in concise form the whole
electrodynamics.

I. Integral form in the absence of magnetic or polarizable media

Gauss' law for electricity

(41)


<f∫ E ∙ ds = —
ε0

Gauss' law for magnetism

(42)                <∫ B ∙ dS = 0

27



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