A parallel-plate capacitor with a 0.1-mm air gap has a capacitance of 12 µF. (a) When this capacitor is connected to a battery, the maximum magnitude of charge on either plate is 0.18 mC (millicoulomb). What are the magnitude of the electric field between the plates and the energy density (energy per unit volume) in this region? (b) (c) Now suppose this capacitor is disconnected from the battery, and a slab of titanium dioxide (with dielectric constant 100) is inserted between the plates. Indicate whether each of the following quantities increases or decreases after insertion of the dielectric, as well as the factor by which each quantity changes: (i) potential difference across the plates; (ii) capacitance of the capacitor; and (iii) total energy stored in the capacitor. (No calculations are required here.) Calculate the total energy stored in the capacitor with dielectric described in part (b).

A parallel-plate capacitor with a 0.1-mm air gap has a capacitance of 12 µF. (a) When this capacitor is connected to a battery, the maximum magnitude of charge on either plate is 0.18 mC (millicoulomb). What are the magnitude of the electric field between the plates and the energy density (energy per unit volume) in this region? (b) (c) Now suppose this capacitor is disconnected from the battery, and a slab of titanium dioxide (with dielectric constant 100) is inserted between the plates. Indicate whether each of the following quantities increases or decreases after insertion of the dielectric, as well as the factor by which each quantity changes: (i) potential difference across the plates; (ii) capacitance of the capacitor; and (iii) total energy stored in the capacitor. (No calculations are required here.) Calculate the total energy stored in the capacitor with dielectric described in part (b).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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