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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 24 / Problem 49P

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: Suppose the battery in connected while the plates

Chapter 24, Problem 49P

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QUESTION:

Problem 49P

Suppose the battery in Problem remains connected while the plates are pulled apart. What are the answers, then to parts (a)-(d) after the plates have been pulled apart?

Problem:

A parallel-plate air capacitor is made by using two plates 16 cm square, spaced 3.7 mm apart. It is connected to a 12-V battery. (a) What is the capacitance? (b) What is the charge on each plate? (c) What is the electric Held between the plates? (d) What the energy stored in the capacitor? (e) If the battery is disconnected and then the plates are pulled apart to a separation of 7.4 mm are the answers to parts (a)-(d)?

Questions & Answers

QUESTION:

Problem 49P

Suppose the battery in Problem remains connected while the plates are pulled apart. What are the answers, then to parts (a)-(d) after the plates have been pulled apart?

Problem:

A parallel-plate air capacitor is made by using two plates 16 cm square, spaced 3.7 mm apart. It is connected to a 12-V battery. (a) What is the capacitance? (b) What is the charge on each plate? (c) What is the electric Held between the plates? (d) What the energy stored in the capacitor? (e) If the battery is disconnected and then the plates are pulled apart to a separation of 7.4 mm are the answers to parts (a)-(d)?

ANSWER:

Solution 49P

Step 1

Use the equation of capacitance of parallel plate capacitor and energy stored in the capacitor to calculate the capacitance of the capacitor.

The equation for capacitance of a parallel plate capacitor is,

Here, is permittivity of free space, is area of plates and is distance between the plates.

Convert units of side of plate from to.

Area of capacitor plate is,

Convert units of distance from mm to m.

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