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A capacitor is constructed from two square, metallic plates of sides { and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed.. A material of dielectric constant x 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: Eg, K, l, Q, d, and x.) +Q K (a) Find the equivalent capacitance of the device. Cea

A capacitor is constructed from two square, metallic plates of sides { and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed.. A material of dielectric constant x 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: Eg, K, l, Q, d, and x.) +Q K (a) Find the equivalent capacitance of the device. Cea

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A capacitor is constructed from two square, metallic plates of sides { and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed. A material of dielectric constant k 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: Eo, K, l, Q, d, and x.) +Q (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 Direction (d) Obtain a numerical value for the force when x = {/2, assuming { = 5.40 cm, d = 1.90 mm, the dielectric is glass (K = 4.50), and the capacitor was charged to 2.10 × 10³ v before the dielectric was inserted. magnitude UN direction Direction
Transcribed Image Text:A capacitor is constructed from two square, metallic plates of sides { and separation d. Charges +Q and -Q are placed on the plates, and the power supply is then removed. A material of dielectric constant k 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: Eo, K, l, Q, d, and x.) +Q (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 Direction (d) Obtain a numerical value for the force when x = {/2, assuming { = 5.40 cm, d = 1.90 mm, the dielectric is glass (K = 4.50), and the capacitor was charged to 2.10 × 10³ v before the dielectric was inserted. magnitude UN direction Direction
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