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Show that for a given dielectric material the maximumenergy a parallel plate capacitor can store is directly proportional to the volume of dielectric (Volume = $A \cdot d )$ . Note that the applied voltage is limited by the dielectric strength.

Hence, from the above relation the energy stored in the capacitor is proportional to the volume of the capacitor.

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

University of Washington

Simon Fraser University

McMaster University

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So we will begin with writing. What's the interview stored in this capacitor is half C squared now capacitance in terms off parameters. That's area and the distance between the plate and the dialectic constant is given as Absalon, not kay. A divided like D on dhe voltage is given us e times deep. Let's use that New is equal to half Absalon, not K A divided by D ahn Drea Square will be e square D square so you can cancel this square and be here. This is equal to have upset or not. Okay, let's keep them in bracket. She multiplied by A and B and there is one more e square. See, this is the factor off volume you so we can say that energy stolen capacitor is proportional to Eddie. That is proportionate. So that is equal to volume. So the claim in the question is proved that maximum energy stored in parallel plate capacitor is proportional to the volume off off a di electric. Thank you for listening

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