A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 4 µF with the gap between the plates unfilled. The gap is then filled with two dielectric materials, one with dielectric constant 2 and the other one with dielectric constant 6. Each slab of dielectric has area A and thickness d/2, the layering of the dielectrics resulting in the gap being completely filled. Which of the following combinations of capacitors will have the same capacitance as the newly filled parallel-plate one? O two capacitors in parallel, one with capacitance of 8 μF and the other with capacitance of 24 uF O two capacitors in series, one with capacitance of 8 µF and the other with capacitance of 24 μF O two capacitors in parallel, one with capacitance of 16 µF and the other with capacitance of 48 μF O two capacitors in series, one with capacitance of 16 µF and the other with capacitance of 48 μF

A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 4 µF with the gap between the plates unfilled. The gap is then filled with two dielectric materials, one with dielectric constant 2 and the other one with dielectric constant 6. Each slab of dielectric has area A and thickness d/2, the layering of the dielectrics resulting in the gap being completely filled. Which of the following combinations of capacitors will have the same capacitance as the newly filled parallel-plate one? O two capacitors in parallel, one with capacitance of 8 μF and the other with capacitance of 24 uF O two capacitors in series, one with capacitance of 8 µF and the other with capacitance of 24 μF O two capacitors in parallel, one with capacitance of 16 µF and the other with capacitance of 48 μF O two capacitors in series, one with capacitance of 16 µF and the other with capacitance of 48 μF

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

A parallel-plate capacitor with plate area A and plate separation d has a capacitance of 4 µF with the gap between the plates unfilled. The gap is then filled with
two dielectric materials, one with dielectric constant 2 and the other one with dielectric constant 6. Each slab of dielectric has area A and thickness d/2, the
layering of the dielectrics resulting in the gap being completely filled. Which of the following combinations of capacitors will have the same capacitance as the
newly filled parallel-plate one?
O two capacitors in parallel, one with capacitance of 8 µF and the other with capacitance of 24 µF
O two capacitors in series, one with capacitance of 8 µF and the other with capacitance of 24 μF
O two capacitors in parallel, one with capacitance of 16 μF and the other with capacitance of 48 μF
O two capacitors in series, one with capacitance of 16 µF and the other with capacitance of 48 μF

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