The space between the plates of a parallel-plate capacitor (Fig. 4.24) is filled with two slabs of linear dielectric material. Each slab has thickness a, so the total distance between the plates is 2a. Slab-1 has dielectric constant of 2 and slab-2 has a dielectric constant of 1.5. With the area of each of the top and bottom conducting plates is much greater than a?, we can assume the the surface charge densities +o and -o on the top and bottom plates is uniform. (a) Find the electric displacement D in each slab. (b) Find the electric field E in each slab. (c) Find the potential difference between the plates.
The space between the plates of a parallel-plate capacitor (Fig. 4.24) is filled with two slabs of linear dielectric material. Each slab has thickness a, so the total distance between the plates is 2a. Slab-1 has dielectric constant of 2 and slab-2 has a dielectric constant of 1.5. With the area of each of the top and bottom conducting plates is much greater than a?, we can assume the the surface charge densities +o and -o on the top and bottom plates is uniform. (a) Find the electric displacement D in each slab. (b) Find the electric field E in each slab. (c) Find the potential difference between the plates.
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Transcribed Image Text:The space between the plates of a parallel-plate capacitor (Fig. 4.24) is filled with
two slabs of linear dielectric material. Each slab has thickness a, so the total distance
between the plates is 2a. Slab-1 has dielectric constant of 2 and slab-2 has a dielectric
constant of 1.5. With the area of each of the top and bottom conducting plates is
much greater than a?, we can assume the the surface charge densities +o and -o on
the top and bottom plates is uniform.
(a) Find the electric displacement D in each slab.
(b) Find the electric field E in each slab.
(c) Find the potential difference between the plates.
(d) Find the locations and amounts of all bound charge.
(e) Based on the values of bound charge, recalculate E and verify your answer from
(b).
(f) How do your results relate to the formula for the addition of two series capacitors?
Transcribed Image Text:+o
Slab 1
Slab 1
a
a
FIGURE 4.24
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