fd C1 K fd K d (1 – f)d (1 – f)d C2 a b Figure 25.21 (Example 25.8) (a) A parallel-plate capacitor of plate separation d partially filled with a dielectric of thickness fd. (b) The equivalent circuit of the capacitor consists of two capacitors connected in series.

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A parallel-plate capacitor with a plate separation d has a capacitance C0 in the absence of a dielectric. What is the capacitance when a slab of dielectric material of dielectric constant k and thickness fd is inserted between the plates (25.21a), where f is a fraction between 0 and 1?

fd
C1
K
fd
K
d
(1 – f)d
(1 – f)d
C2
a
b
Figure 25.21 (Example 25.8) (a) A parallel-plate capacitor of
plate separation d partially filled with a dielectric of thickness
fd. (b) The equivalent circuit of the capacitor consists of two
capacitors connected in series.
Transcribed Image Text:fd C1 K fd K d (1 – f)d (1 – f)d C2 a b Figure 25.21 (Example 25.8) (a) A parallel-plate capacitor of plate separation d partially filled with a dielectric of thickness fd. (b) The equivalent circuit of the capacitor consists of two capacitors connected in series.
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