Total current fl ow Now we calculate the total current which flows across the x = 0 plane, per unit length of
the y axis. This is
(1 + j)
= H0 (9.19)
In the limit when δ → 0 as σ → ∞ this current becomes a surface current density
spread over a skin of zero thickness, at right angles to H0 and equal in magnitude to H0.
This result was encountered before when we studied, from an idealised point of view,
boundary conditions in the presence of perfectly conducting media.
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