Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Textbook Question
Chapter 6, Problem 6.3P
Capacitors tend to be more expensive as their capacitance and maximum voltage V max increase. The voltage V max is limited by the field strength at which the dielectric breaks down, Ebd- Which of these dielectrics will give the largest CVmax product for equal plate areas? (a) Air: đ�œ–y = 1, Ebd = 3 MV/m. (b) Barium titanate: e? = 1200, EBD = 3 MV/m. (c) Silicon dioxide: đ�œ–r = 3.78, EBD = 16 MV/m. (d) Polyethylene: đ�œ–T = 2.26, EBD = 4.7 MV/m.
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We want to investigate how the field strength will be with air as dielectric and with steatite. A plate
capacitor is placed in a 24 kV network between phase and ground. The relative permittivity of air is
&=1 and for steatite &-6. The plate capacitor has area = 1m². The distance between the electrodes is
2 mm.
Ep = 8.854-10-12 F/m
A=1m²
d=2mm
a) Calculate the maximum field strength in the plate capacitor. (Answer: 9.8kV/mm)
b) What is the capacitance of the capacitor if we use steatite? (Answer: C = 26.6nF)
write down the measure capacitance on your bench figure.1
Chapter 6 Solutions
Engineering Electromagnetics
Ch. 6 - Prob. 6.1PCh. 6 - Let S = 100 mm2. d= 3 mm, and er = 12 for a...Ch. 6 - Capacitors tend to be more expensive as their...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - A parallel-plane capacitor is made using two...Ch. 6 - For the capacitor of Problem 6.6, consider the...Ch. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - A coaxial cable has conductor dimensions of a =...
Ch. 6 - Prob. 6.11PCh. 6 - (a) Determine the capacitance of an isolated...Ch. 6 - With reference to Figure 6.5, let b=6m, h=15m, and...Ch. 6 - Two=16 copper conductor (1.29 mm diameter) are...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Construct a curvilinear-square map for a coaxial...Ch. 6 - Prob. 6.18PCh. 6 - Construct a curvilinear- square map of the...Ch. 6 - Prob. 6.20PCh. 6 - The inner conductor of the transmission line shown...Ch. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - A potential field in free space is given in...Ch. 6 - A capacitor is formed from concentric spherical...Ch. 6 - Given the spherical symmetric field in free space,...Ch. 6 - Let V=z(x,y)=4e2xf(x)3y2 in a region of free space...Ch. 6 - Show that in a homogeneous medium of conductivity...Ch. 6 - What total charge must be located within a unit...Ch. 6 - Prob. 6.30PCh. 6 - For the parallel-plate capacitor shown in Figure...Ch. 6 - Prob. 6.32PCh. 6 - The functions V1 (p, , z) and V2(p, , z) both...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - By appropriate solution of Laplaces and Poissons...
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