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 2=0 dx Ve + 0, and S * = In(x) + C.]

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 2=0 dx Ve + 0, and S * = In(x) + C.]

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

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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