96. Two infinite rods, each carrying a uniform charge density λ, are parallel to one another and perpendicular to the plane of the page. (See below.) What is the electrical field at P? At P₂? T a 02 P1 P2 |2- 1 32 = Απερ α λ Solution r P. P₁₂: E = P: r E 1 ·a· 4лε (a/√2) = λ -a· 22 (2 cos 45°)Ĵ 1 λ = περα 32 2πε 2α 1+ 1 2^ î¦± 1 31 î 1 22- Απερ α Απε 2α = ο

96. Two infinite rods, each carrying a uniform charge density λ, are parallel to one another and perpendicular to the plane of the page. (See below.) What is the electrical field at P? At P₂? T a 02 P1 P2 |2- 1 32 = Απερ α λ Solution r P. P₁₂: E = P: r E 1 ·a· 4лε (a/√2) = λ -a· 22 (2 cos 45°)Ĵ 1 λ = περα 32 2πε 2α 1+ 1 2^ î¦± 1 31 î 1 22- Απερ α Απε 2α = ο

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...

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A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
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4. The electric field near a charged, long, narrow, wire (think of monofilament, fishing line) was hinted at in homework 01 by solving a source charge integration problem. The electric field to the side of a charged, narrow wire (or rod) of length 2a was found to be 1 xdy Q 2a 1 B = 47², (^) (2² +2² ²2² = 425, (204) (2√2² + 2² Απερ (1). 3/2 ATTE a 1 Απε simpler expression E = Q o(x√x² + a² Then, one can take the limit as the length a tends toward infinity to obtain the much 20₁ 2TE T r. Here, we have transitioned from a distance r to the side of the wire (in the x-y plane) to a more general, radial distance out from the wire in any plane (not just the z-y plane). This same simpler equation can be very easily obtained by applying Gauss' Law using an appropriate Gaussian surface that surrounds part of an infinitely long, charged wire. Find this derivation (in a book or online) and rewrite it below. Add verbal explanations to take the reader through the derivation, equation by equation.