702_Physics ProblemsTechnical Physics

702_Physics ProblemsTechnical Physics - 42 Gausss Law...

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42 Gauss’s Law Additional Problems P24.54 In general, Eijk =++ ay bz cx ±± ± In the xy plane, z = 0 and Eik =+ ay cx Φ Φ E E x w x w da y c x d A ch xdx ch xc h w =⋅= + == = zz z = = EA i kk ± ej 0 2 0 2 22 x y z x = 0 x = w y = 0 y = h dA = hdx FIG. P24.54 P24.55 (a) qQ Q Q in = + 32 (b) The charge distribution is spherically symmetric and q in > 0 . Thus, the field is directed radially outward . (c) E kq r kQ r e e in 2 for rc . (d) Since all points within this region are located inside conducting material, E = 0 for brc << . (e) ΦΦ EE dq ⇒= = z 00 0 in (f) in 3 (g) E r r e e in 3 (radially outward) for arb ≤< . (h) qV Q a rQ r a in + F H G I K J F H G I K J ρ π 34 3 3 4 3 3 3 3 3 (i) E r k r Q r a r a e e e + F H G I K J = in 3 33 3 3 (radially outward) for 0 ≤≤ ra . (j) From part (d), E = 0 for . Thus, for a spherical gaussian surface with
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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