Solved: A parallel-plate capacitor with a plate separation
Chapter , Problem 57(choose chapter or problem)
A parallel-plate capacitor with a plate separation d has a capacitance C0 in the absence of a dielectric. A slab of dielectric material of dielectric constant k and thickness d/3 is then inserted between the plates as in Figure P16.57a. Show that the capacitance of this partially filled capacitor is given by C 5 a 3k 2k 1 1 bC0 Hint: Treat the system as two capacitors connected in series as in Figure P16.57b, one with dielectric in it and the other one empty.
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