A parallel-plate capacitor is made of two circular plates of radius a cm. The distance between the plates is d cm, which is much less than the radius. The bottom plate is grounded and the top plate is charged to a potential Vo volts. (a) fields E, D in the space between the plates. If the gap is filled with air. Compute and describe the (b) Find the total charge on each of the plates.: (c) Find the capacitance of the capacitor.
A parallel-plate capacitor is made of two circular plates of radius a cm. The distance between the plates is d cm, which is much less than the radius. The bottom plate is grounded and the top plate is charged to a potential Vo volts. (a) fields E, D in the space between the plates. If the gap is filled with air. Compute and describe the (b) Find the total charge on each of the plates.: (c) Find the capacitance of the capacitor.
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Transcribed Image Text:A parallel-plate capacitor is made of two circular plates of
radius a cm. The distance between the plates is d cm, which is much less
than the radius. The bottom plate is grounded and the top plate is charged
to a potential Vo volts.
(a)
fields E, D in the space between the plates.
If the gap is filled with air. Compute and describe the
(b)
Find the total charge on each of the plates.
(c)
Find the capacitance of the capacitor.
(d)
permittivity, given as
If the gap is filled with a dielectric with a radially dependent
e(r) = €o(1 + -)
where r is the radius and €o is the permittivity of the free space. Find
the capacitance of this capacitor.
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