A capacitor is constructed from two square, metallic plates of sides ℓ and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed. A material of dielectric constant ? is inserted a distance x into the capacitor as shown in the figure below. Assume d is much smaller than x. Suggestion: The system can be considered as two capacitors connected in parallel. (Use the following as necessary: ?0, ?, ℓ, Q, d, and x.)(a) Find the equivalent capacitance of the device.Ceq = (b) Calculate the energy stored in the capacitor.U = (c) Find the direction and magnitude of the force exerted by the plates on the dielectric.magnitude direction (d) Obtain a numerical value for the force when x = ℓ/2, assuming ℓ = 4.60 cm, d = 1.90 mm, the dielectric is glass (? = 4.50), and the capacitor was charged to 2.20 103 V before the dielectric was inserted.magnitude µNdirection The diagram in Figure P25.49 illustrates an arrangement of charged plates and a dielectric material. Here's a detailed explanation of the components:1. **Charged Plates:** - There are two parallel plates shown in the diagram. - The top plate is indicated by a red color and is positively charged, denoted by "+Q". - The bottom plate is shown in blue and is negatively charged, indicated by "-Q". - Both plates have the same length, represented by the symbol "ℓ".2. **Distance and Dielectric Material:** - The separation between the two plates is indicated by "d". - A dielectric material is placed adjacent to the plates and is represented by a yellow rectangle labeled "κ". - The distance from the edge of the dielectric to the start of the positively charged plate is indicated by "x".This figure is useful for understanding concepts related to electric fields, capacitance, and the effect of dielectric materials in electromagnetic theory.

Answered: Image /qna-images/answer/885a47f6-8b98-48bc-be82-f1082ee1cb20.jpg

Answered: (a) Find the equivalent capacitance of…

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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A capacitor is constructed from two square, metallic plates of sides ℓ and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed. A material of dielectric constant ? is inserted a distance x into the capacitor as shown in the figure below. Assume d is much smaller than x. Suggestion: The system can be considered as two capacitors connected in parallel. (Use the following as necessary: ?₀, ?, ℓ, Q, d, and x.)

(a) Find the equivalent capacitance of the device.
C_eq =

(b) Calculate the energy stored in the capacitor.

U =

magnitude
direction

(d) Obtain a numerical value for the force when x = ℓ/2, assuming ℓ = 4.60 cm, d = 1.90 mm, the dielectric is glass (? = 4.50), and the capacitor was charged to 2.20 10³ V before the dielectric was inserted.