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charge on each side of the slab is 75% of the magnitude of the
free charge on each plate. The capacitance is 480e,l, where €
is a constant with dimensions of length, and the maximum
charge that can be stored on the capacitor is 240€²e,Emax
where Emax is the breakdown threshold. What are (a) the di-
electric constant for the slab, (b) the plate separation distance
in terms of l, and (c) the plate area in terms of €? •..

64. A dielectric slab completely fills the space between the plates
of a parallel-plate capacitor. The magnitude of the bound

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A slab of copper of thickness b = 1.68 mm is thrust into a parallel-plate capacitor of plate area A = 1.96 cm2 and plate separation d = 5.35 mm, as shown in the figure; the slab is exactly halfway between the plates. (a) What is the capacitance after the slab is introduced? (b) If a charge q = 2.68 µC is maintained on the plates, what is the ratio of the stored energy before to that after the slab is inserted? (c) How much work is done on the slab as it is inserted? (d) Is the slab sucked in or must it be pushed in? Copper (a) Number 4.73e-13 Units (b) Number i 0.686 (c) Number i 5.36e-10 Units J (d) sucked in
When a battery is connected across an empty capacitor, the charge on its plates is Q0 (fig. a). If a dielectric of dielectric constant ?κ is inserted between the plates while the battery remains in place (fig. b), what is the expression for the induced charge on the dielectric surface in terms of the original plate charge Q0?