Week 3-p34 annotations - 73 g a ={gﬂdﬁ ﬁ(c_6-d£(1.15)4 oN.B Am re’s law —> either J or time-varying E fields in a region or both will give

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Unformatted text preview: 73. g. a; ={gﬂdﬁ + ﬁ!(c._6.)-d£ (1.15).?)4 oN.B. Am re’s law —> either J or time-varying E fields in a region, or both, will give rise to a B field such that (1.16) must be satisﬁed for all possible closed lines constructed in the region. - The Maxwell-Ampere law $1.162 means that the line integral of the B field (modified by 1/ﬂo) around any arbitrary closed path a must, at any time t, equal the sum of the net current i = [SJ 'd5 M the time rate of change of the net electric ﬂux We = f (20E) -ds passing through the surface S bounded by e. S Both R..HS. Eérhiébf 21,7176) 2 Electric Currents ‘- = [S J -d S 2) Net convection / conduction current through S. CHARGG Hamw w: CHAIM-é Manon] (UITH'IN I4 Fiasc— S’Pnce I Sewn, quam ok 619.5. I 757ML (u Ragw— Wnouw J! C; 6057037 - Mina/vb- Cam/8607:»! 6F ﬂg = 4—] (80E) ~d 5 => Net displacement current through S. (if. dl‘ S ‘ . MAXwELL 1 0 Hence, in free space, the circulation of B around any closed path equals ,uo times the total current ﬂowing through the surface bounded by the path. (Direction dependgﬂnt?) 72.14.72. - Ampere’s law M used directly to solve for both B and E in ' ‘ I I .I ...
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