Problem 4.19 Suppose you have enough linear dielectric material, of dielectric constant er, to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute the material as in Fig. 4.25(a)? How about Fig. 4.25(b)? For a given potential difference V between the plates, find E, D, and P, in each region, and the free and bound charge on all surfaces, for both cases.

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Problem 4.19 Suppose you have enough linear dielectric material, of dielectric
constant Er
to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is
the capacitance increased when you distribute the material as in Fig. 4.25(a)? How
about Fig. 4.25(b)? For a given potential difference V between the plates, find E,
D, and P, in each region, and the free and bound charge on all surfaces, for both
cases.
Houminos
********************
qa
(b)
Transcribed Image Text:Problem 4.19 Suppose you have enough linear dielectric material, of dielectric constant Er to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute the material as in Fig. 4.25(a)? How about Fig. 4.25(b)? For a given potential difference V between the plates, find E, D, and P, in each region, and the free and bound charge on all surfaces, for both cases. Houminos ******************** qa (b)
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