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Transcribed Image Text:2.
Two square conducting plates with sides of length are L separated by
a distance A dielectric slab with constant with D. K dimensions is inserted a
distance into the space x between the plates, as shown in Fig below.
Dielectric
constant K
KDX
a) Find the capacitance C of this system.
b) (b) Suppose that in the give figure capacitor is connected to a battery
that maintains a constant potential difference between the plates. If the
dielectric slab is inserted an additional distance into the space dx
between the plates, Find the change in stored energy
Transcribed Image Text:c) Suppose that before the slab is moved by the plates are
disconnected from the battery, so that the charges on the plates remain
constant. Determine the magnitude of the charge on each plate, and then
find change in stored energy when the slab is moved farther dx into the
space between the plates, .How does this change in energy compared to
obtained in (b).
d) If F is the force exerted on the slab by the charges on the plates, then
change in energy obtained in part (b) should be equal the work done
against this force to move the slab a distance. Show that by applying
this condition to the result of part (b) suggests that the electric force on
the slab pushes it out of the capacitor, while the result of part (c)
suggests that the force pulls the slab into capacitor. Draw a diagram that
shows the force pulls the slab into the capacitor. Explain why the result
of part (b) gives an incorrect answer for the direction of this force and
calculate the magnitude o of the force.
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