Suppose the (electrically neutral) y z plane carries a time-dependent but uniform surface current K(t) z. (a)

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Suppose the (electrically neutral) y z plane carries a time-dependent but uniform surface current K(t) z.

(a) Find the electric and magnetic fields at a height x above the plane if

(i) A constant current is tumed on at t = 0:

(ii) A linearly increasing current is turned on at t = 0:

(b) Show that the retarded vector potential can be written in the form and from this determines E and B.

(c) Show that the total power radiated per unit area of surface is Explain what you mean by "radiation," in this case, given that the source is not localized.

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Introduction to Electrodynamics

ISBN: 978-8120316010

3rd Edition

Authors: David J. Griffiths

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Question Posted: Nov 29, 2010 05:44 AM

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Suppose the (electrically neutral) y z plane carries a time-dependent but uniform surface current K(t) z. (a)

Question:

K(t) = K(t) = { A(x, 1) = Part (a) 0. 1≤0, Ko. 1 >0. Ko 0, art. t≤0, t> 0. Part (b) 8 нос - 1405 i fox (₁ - ² - u) du. K 2 C Part (c) Moc [K (t)]². нас 2

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a Ax t 140 4T 1402 4T Ktr da 2r dr Ktr S r x 102Kt1c r dr r 1 2 The maximum r is given by t x c 0 Tm...View the full answer

Introduction to Electrodynamics

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