A capacitor is constructed from two square, metal- +Q lic plates of sides l and separation d. Charges 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. %3D %3D + ++Q -x- d к
A capacitor is constructed from two square, metal- +Q lic plates of sides l and separation d. Charges 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. %3D %3D + ++Q -x- d к
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 38P: A variable air capacitor used in a radio tuning circuit is made of N semicircular plates, each of...
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