A capacitor is constructed from two square, metal- lic plates of sides l and separation d. Charges +Q and -Q are placed on the plates, and the power sup- ply is then removed. A material of dielectric constant k is inserted a distance x into the capacitor as shown in Figure P26.78. Assume d is much smaller than x. (a) Find the equivalent capacitance of the device. (b) Calculate the energy stored in the capacitor. (c) Find the direction and magnitude of the force exerted by the plates on the dielectric. (d) Obtain a numerical value for the force when x = €/2, assuming l = 5.00 cm, d = 2.00 mm, the dielectric is glass (K = 4.50), and the capacitor was charged to 2.00 × 10³ V before the dielectric was inserted. Suggestion: The system can be considered as two capacitors connected in parallel. + ++Q

A capacitor is constructed from two square, metal- lic plates of sides l and separation d. Charges +Q and -Q are placed on the plates, and the power sup- ply is then removed. A material of dielectric constant k is inserted a distance x into the capacitor as shown in Figure P26.78. Assume d is much smaller than x. (a) Find the equivalent capacitance of the device. (b) Calculate the energy stored in the capacitor. (c) Find the direction and magnitude of the force exerted by the plates on the dielectric. (d) Obtain a numerical value for the force when x = €/2, assuming l = 5.00 cm, d = 2.00 mm, the dielectric is glass (K = 4.50), and the capacitor was charged to 2.00 × 10³ V before the dielectric was inserted. Suggestion: The system can be considered as two capacitors connected in parallel. + ++Q

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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Concept explainers

Combination of Capacitors

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

Question

A capacitor is constructed from two square, metal-
lic plates of sides l and separation d. Charges +Q
and -Q are placed on the plates, and the power sup-
ply is then removed. A material of dielectric constant
k is inserted a distance x into the capacitor as shown
in Figure P26.78. Assume d is much smaller than x.
(a) Find the equivalent capacitance of the device.
(b) Calculate the energy stored in the capacitor. (c) Find
the direction and magnitude of the force exerted by the
plates on the dielectric. (d) Obtain a numerical value
for the force when x = €/2, assuming l = 5.00 cm, d =
2.00 mm, the dielectric is glass (K = 4.50), and the
capacitor was charged to 2.00 × 10³ V before the
dielectric was inserted. Suggestion: The system can be
considered as two capacitors connected in parallel.
|
+ ++Q
d
к
Figure P26.78

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