24.62 An air capacitor is made by using two flat plates, each with area A, separated by a distance d. Then a metal slab having thickness a (less Figure P24.62 d than d) and the same shape and size as the plates is inserted between them, parallel to the plates and not touching either plate (Fig. P24.62). (a) What а is the capacitance of this arrangement? (b) Express the capaci- tance as a multiple of the capacitance Co when the metal slab is

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24.62
An air capacitor is made by Figure P24.62
using two flat plates, each with area A,
separated by a distance d. Then a
metal slab having thickness a (less
than d) and the same shape and size
as the plates is inserted between them,
parallel to the plates and not touching
either plate (Fig. P24.62). (a) What
is the capacitance of this arrangement? (b) Express the capaci-
tance as a multiple of the capacitance Co when the metal slab is
not present. (c) Discuss what happens to the capacitance in the
limits a → 0 and a → d.
a
Transcribed Image Text:24.62 An air capacitor is made by Figure P24.62 using two flat plates, each with area A, separated by a distance d. Then a metal slab having thickness a (less than d) and the same shape and size as the plates is inserted between them, parallel to the plates and not touching either plate (Fig. P24.62). (a) What is the capacitance of this arrangement? (b) Express the capaci- tance as a multiple of the capacitance Co when the metal slab is not present. (c) Discuss what happens to the capacitance in the limits a → 0 and a → d. a
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