The plates of the parallel-plate capacitor shown in the figure has an area of A and a separation of d. The upper plate is held at a potential of Vo, and the lower plate is grounded. The dielectric between the two plates has a 2 = d permittivity of e = €,(a + mz), where a and m are constants. Determine (a) the potential distribution, (b) the electric field intensity, (c) the charge distribution on each plate, and (d) the capacitance of the parallel-plate 2=0 capacitor. [Hint: The dielectric is not homogeneous, so Ve # 0, and S = In(x) + C.] (Based on example 3.23). %3D

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
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Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...
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The plates of the parallel-plate capacitor shown in the
figure has an area of A and a separation of d. The upper
plate is held at a potential of Vo, and the lower plate is
grounded. The dielectric between the two plates has a
2= d
permittivity of e = €,(a + mz), where a and m are
constants. Determine (a) the potential distribution, (b)
the electric field intensity, (c) the charge distribution on
each plate, and (d) the capacitance of the parallel-plate
capacitor. [Hint: The dielectric is not homogeneous, so
Ve + 0, and S = In(x) + C.] (Based on example 3.23).
z=0
dx
Transcribed Image Text:The plates of the parallel-plate capacitor shown in the figure has an area of A and a separation of d. The upper plate is held at a potential of Vo, and the lower plate is grounded. The dielectric between the two plates has a 2= d permittivity of e = €,(a + mz), where a and m are constants. Determine (a) the potential distribution, (b) the electric field intensity, (c) the charge distribution on each plate, and (d) the capacitance of the parallel-plate capacitor. [Hint: The dielectric is not homogeneous, so Ve + 0, and S = In(x) + C.] (Based on example 3.23). z=0 dx
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