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Physics / Physics with MasteringPhysics 4 / Chapter 20 / Problem 70P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A parallel-plate capacitor has plates with an area of 405

Chapter 20, Problem 70P

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QUESTION:

Problem 70P

A parallel-plate capacitor has plates with an area of 405 cm2 and an air-filled gap between the plates that is 2.25 mm thick. The capacitor is charged by a battery to 575 V and then is disconnected from the battery, (a) How much energy is stored in the capacitor? (b) The separation between the plates is now increased to 4.50 mm. How much energy is stored in the capacitor now? (c) How much work is required to increase the separation of the plates from 2.25 mm to 4.50 mm? Explain your reasoning.

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QUESTION:

Problem 70P

A parallel-plate capacitor has plates with an area of 405 cm2 and an air-filled gap between the plates that is 2.25 mm thick. The capacitor is charged by a battery to 575 V and then is disconnected from the battery, (a) How much energy is stored in the capacitor? (b) The separation between the plates is now increased to 4.50 mm. How much energy is stored in the capacitor now? (c) How much work is required to increase the separation of the plates from 2.25 mm to 4.50 mm? Explain your reasoning.

ANSWER:

Step 1 of 4

a)

Here, we have to calculate the energy stored in the capacitor.

The surface area of the plate is,

$A=405\ c{m}^{2}=0.0405\ {m}^{2}$ .

The separation is,

$d=2.25\ mm=2.25\times{}1{0}^{-3}\ m$

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