(Solved): capacitor is constructed from two square, metallic plates of sides l and separation d. Charges +Q ...

capacitor is constructed from two square, metallic plates of sides $$\mathrm{l}$$ and separation $$d$$. Charges $$+Q$$ and $$?Q$$ are placed on the plates, and the power supply is then removed. A material of dielectric onstant $$x$$ is inserted a distance $$x$$ into the capacitor as shown in the figure below. Assume $$d$$ is much smaller than $$x$$. Suggestion: The system can be considered as two capacitors connected in parallel. Use the following as necessary: $${?}_0,?,?,Q,d$$, and $$x$$.) (a) Find the equivalent capacitance of the device. $$c_{\mathrm{eq}}=$$ (b) Calculate the energy stored in the capacitor. $$u=$$ (c) Find the direction and magnitude of the force exerted by the plates on the dielectric. magnitude direction (d) Obtain a numerical value for the force when $$x=?/2$$, assuming $$?=4.90\mathrm{cm},d=1.90\mathrm{mm}$$, the dielectric is glass ( $$x=4.50$$ ), and the capacitor was charged to $$2.20\times 10^3\mathrm{V}$$ before the dielectric was inserted. magnitude $$?\mathrm{N}$$ direction