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6: Electrostatics: This problem contains two steps: (a) Suppose you have a parallel plates capacitor with charge Q with the plates distant d from each other (see Fig.2(a)). The area of the plates is A and there is vacuum between them, whose permittivity constant is co Calculate the energy store in the capacitor and then calculate the work done by the electrostatic forces if you approximate the plates by an amount δ. (b) Now, supposed that you partially filled the capacitor with a liquid linear dielectric (with electric susceptibility Xe) by pouring it until it reaches the desired height r, as show in Fig.2(b). Calculate the energy stored by this new capacitor. (c) Finally, you pour a little bit more dielectric in the capacitor until it reaches the height エ+ δ. As you do this, what is now the work done by the electrostatic forces in terms of that work found for the empty capacitor? .Q -Q
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