Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press

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Textbook Question
Chapter 3.3, Problem 3.16P

A cubical box (sides of length a) consists of five metal plates, whichare welded together and grounded (Fig. 3.23). The top is made of a separate sheetof metal, insulated from the others, and held at a constant potential V 0 . Find thepotential inside the box. [What should the potential at the center ( a / 2 , a / 2 , a / 2 ) be? Check numerically that your formula is consistent with this value.]11

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4.20 Fig. 4.11 shows three separate charge distributions in the z = 0 plane in free space. (a) Find the total charge for each distribution. (b) Find the potential at P(0, 0, 6) caused by each of the three charge distributions acting alone. (c) Find Vp. (0, 5, 0) P-I nC/m 20° z-0 plane (0, 3, 0) p-3 Pu=1.5 nC/m 10° p-1.6 10° p-3.5 PacI nCim? 20 FIGURE 4.1I
4.20 Fig. 4.11 shows three separate charge distributions in the z = 0 plane in free space. (a) Find the total charge for each distribution. (b) Find the potential at P(0, 0, 6) caused by each of the three charge distributions acting alone. (c) Find Vp. %3D (0, 5, 0)| PLA=A nC/m 20° z=0 plane (0, 3, 0) p= 3 PLB= 1.5 nC/m 10° 10° p=1.6 p= 3.5 Psc 1 nC/m2 20° FIGURE 4.11 See Prob. 20.
4.20 Fig. 4.11 shows three separate charge distributions in the z = 0 plane in free space. (a) Find the total charge for each distribution. (b) Find the potential at P(0, 0, 6) caused by each of the three charge distributions acting alone. (c) Find Vp. (0, 5, 0) PLA=A nC/m 20° z=0 plane (0, 3, 0) p=3 PLB=1.5 nC/m 10° 10° p= 1.6 p=3.5 Psc=1 nC/m² 20° FIGURE 4.11 See Prob. 20.
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