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Two square plates of sides l are placed parallel to each other with separation d as suggested in the figure below. You may assume d is much less than l. The plates carry uniformly distributed static charges +Q_0 and -Q_0. A block of metal has width l, length l, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with K rightarrow infinity. (Use the following as necessary: element _0, Q_0, l, d, and x.) Calculate the stored energy in the system as a function of x Find the direction and magnitude of the force that acts on the metallic block. magnitude F = direction ---Select The area of the advancing front face of the block is essentially equal to ld. Considering the force on the block as acting on this face, find the stress (force per area) on it. stress = Express the energy density in the electric field between the charged plates in terms of Q_0, l, d, and element_0. u =

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