18_InstSolManual_PDF_Part23 - Electric Potential and...

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18.89. Set Up: For a single capacitor with dielectric of dielectric constant K completely filling the volume between its plates, The capacitor is sketched in Figure 18.89a. It is equivalent to two capacitors in series as shown in Figure 18.89b. For two capacitors and in series the equivalent capacitance C is given by Figure 18.89 Solve: (a) and (b) For which is the correct expression. (c) For which is the correct expression. Reflect: Our result applies only when each dielectric fills half the space between the plates. When the elec- tric field has a different value in each dielectric.
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Unformatted text preview: K 1 2 K 2 C S 2 P A d 1 1 2 2 5 P A d , K 1 5 K 2 5 1.0, C S 2 P A d K 2 2 K 5 K P A d , K 1 5 K 2 , C 5 1 2 K 1 P A d 21 2 K 2 P A d 2 2 K 1 P A d 1 2 K 2 P A d 5 2 P A d 1 K 1 K 2 K 1 1 K 2 2 C 2 5 K 2 P A d / 2 5 2 K 2 P A d . C 1 5 K 1 P A d / 2 5 2 K 1 P A d 1 C 5 1 C 1 1 1 C 2 5 C 1 1 C 2 C 1 C 2 . K 1 K 2 d / 2 d / 2 C 2 C 1 ( b ) ( a ) 1 C 5 1 C 1 1 1 C 2 . C 2 C 1 C 5 K P A d . Electric Potential and Capacitance 18-23...
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