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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Figure P4.56(a) depicts a capacitor consisting of two parallel, conducting plates separated by a distance d. The space between the plates contains two adjacent dielectrics, one with permittivity ε1 and surface area A1 and another with ε2 and A2
The objective of this problem is to show that the capacitance C of the configuration shown in Fig. P4.56(a) is equivalent to two capacitances in parallel, as illustrated in Fig. P4.56(b), with
To this end, proceed as follows:
(a) Find the electric fields E1 and E2 in the two dielectric layers.
(b) Calculate the energy stored in each section and use the result to calculate C1 and C2.
(c) Use the total energy stored in the capacitor to obtain an expression for C. Show that (4.133) is indeed a valid result.
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