Theoretical Question 1:
A capacitor consists of two circular parallel plates both with radius R separated by distance d, where d << R , as shown in Fig. 1.1(a). The top plate is connected to a constant voltage source at a potential V while the bottom plate is grounded. Then a thin and small disk of mass m with radius r ( << R, d ) and thickness t ( << r ) is placed on the center of the bottom plate, as shown in Fig. 1.1(b).
Let us assume that the space between the plates is in vacuum with the dielectric constant 0 ε ; the plates and the disk are made of perfect conductors; and all the electrostatic edge effects may be neglected. The inductance of the whole circuit and the relativistic effects can be safely disregarded. The image charge effect can also be neglected.
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