As shown in Figure 3(a), there are four large and thin metal plates with charges Qo, 2Qo, 3Qo, 4Qo, respectively. The area of each plate is S and the charges distribute uniformly on each surface (neglecting the edge effect). (a) Calculate the charges q1 to qs on different surfaces. (b) Calculate the electric fields Ei to E5. (c) Now we connect plate 1 and plate 4 to the ground (as shown in Figure 3(b)), calculate the charges q1 to qs. (d) Suppose there are a total of n metal plates (as shown in Figure 3(c)), determine q2i and Ei. Qo 2Q0 3Q0 4Qo 2Q0 3Q. E1 E2 Ез E4 Es E1 E2 E3 E4 Es qa 92 Яз 9s G6 97 9в qa д2 9з да 95 96 9т Яв Figure 3(a) Figure 3(b) Qo 2Q0 İQo (n-1)Qo nQo E1 E, En+1 92i-1 92i 92n Figure 3(c)
As shown in Figure 3(a), there are four large and thin metal plates with charges Qo, 2Qo, 3Qo, 4Qo, respectively. The area of each plate is S and the charges distribute uniformly on each surface (neglecting the edge effect). (a) Calculate the charges q1 to qs on different surfaces. (b) Calculate the electric fields Ei to E5. (c) Now we connect plate 1 and plate 4 to the ground (as shown in Figure 3(b)), calculate the charges q1 to qs. (d) Suppose there are a total of n metal plates (as shown in Figure 3(c)), determine q2i and Ei. Qo 2Q0 3Q0 4Qo 2Q0 3Q. E1 E2 Ез E4 Es E1 E2 E3 E4 Es qa 92 Яз 9s G6 97 9в qa д2 9з да 95 96 9т Яв Figure 3(a) Figure 3(b) Qo 2Q0 İQo (n-1)Qo nQo E1 E, En+1 92i-1 92i 92n Figure 3(c)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 30PQ: Two very long, thin, charged rods lie in the same plane (Fig. P25.30). One rod is positively charged...
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