The two parallel plate capacitors (C1 and C2) are initially charged by an external power source and the power source is disconnected later, leaving the two capacitors charged as seen in the figure. The capacitor C1 has dielectric material between its parallel plates. The length of the two parallel plate capacitors are the same. The distance between the parallel plates of the capacitors are also the same. However the width of C1 is 2a whereas the width of C2 is a. The amount of charge stored in C1 is Q1 = 10q. It is also observed that the amount of charge stored in C2 becomes Q2 = 4q if the dielectric material in C1 is removed (and replaced by air). What is the dielectric constant of the dielectric material that is used in C1?

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 3PA: You find that a 25-F capacitor connected to 480 VAC is defective. The storeroom has no capacitors...
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The two parallel plate capacitors (C1 and C2) are initially charged by an external
power source and the power source is disconnected later, leaving the two
capacitors charged as seen in the figure. The capacitor C1 has dielectric material
between its parallel plates. The length of the two parallel plate capacitors are the
same. The distance between the parallel plates of the capacitors are also the
same. However the width of C1 is 2a whereas the width of C2 is a. The amount of
charge stored in C1 is Q1 = 10q. It is also observed that the amount of charge
stored in C2 becomes Q2 = 4q if the dielectric material in C1 is removed (and
replaced by air). What is the dielectric constant of the dielectric material that is
used in C1?
Transcribed Image Text:The two parallel plate capacitors (C1 and C2) are initially charged by an external power source and the power source is disconnected later, leaving the two capacitors charged as seen in the figure. The capacitor C1 has dielectric material between its parallel plates. The length of the two parallel plate capacitors are the same. The distance between the parallel plates of the capacitors are also the same. However the width of C1 is 2a whereas the width of C2 is a. The amount of charge stored in C1 is Q1 = 10q. It is also observed that the amount of charge stored in C2 becomes Q2 = 4q if the dielectric material in C1 is removed (and replaced by air). What is the dielectric constant of the dielectric material that is used in C1?
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