A parallel-plate capacitor that has no dielectric in the

Chapter , Problem 80

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A parallel-plate capacitor that has no dielectric in the space between the plates has a capacitance and a plate separation Two dielectric slabs that have dielectric constants of and respectively, are then inserted between the plates as shown in Figure 24-47. Each slab has a thickness and has area the same area as each capacitor plate. When the charge on the positively charged capacitor plate is find (a) the electric field in each dielectric and (b) the potential difference between the plates. (c) Show that the capacitance of the system after the slabs are inserted is given by (d) Show that is the equivalent capacitance of a series combination of two capacitors, each having plates of area and a gap width equal to The space between the plates of one is filled with a material that has a dielectric constant equal to and the space between the plates of the other is filled with a material that has a dielectric constant equal to