Essential University Physics (3rd Edition)

3rd Edition

ISBN: 9780134202709

Author: Richard Wolfson

Publisher: PEARSON

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Combination of Capacitors

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Textbook Question

Chapter 23, Problem 62P

Show that the result of Problem 61 reduces to that of a parallel-plate capacitor when the separation b − a is much less than the radius a.

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Chapter 23, Problem 61P

Chapter 23, Problem 63P

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Imagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.

Chapter 23 Solutions

Essential University Physics (3rd Edition)

Ch. 23.1 - Three positive charges and one negative charge,...Ch. 23.2 - If I give you a 5-gallon bucket, you know how much...Ch. 23.3 - You need to replace a capacitor with one that can...Ch. 23.3 - You have two identical capacitors with capacitance...Ch. 23.4 - Youre at a point P a distance a from a point...Ch. 23 - Two positive point charges are infinitely far...Ch. 23 - How does the energy density at a certain distance...Ch. 23 - A dipole consists of two equal but opposite...Ch. 23 - Charge is spread over the surface of a balloon,...Ch. 23 - Does the superposition principle hold for...

Ch. 23 - A student argues that the total energy associated...Ch. 23 - A capacitor is said to carry a charge Q. Whats the...Ch. 23 - Does the capacitance describe the maximum amount...Ch. 23 - Is a force needed to hold the plates of a charged...Ch. 23 - A solid conducting slab is inserted between the...Ch. 23 - Two capacitors contain equal amounts of energy,...Ch. 23 - A parallel-plate capacitor is connected to a...Ch. 23 - Four 75-C charges, initially far apart, are...Ch. 23 - Three point charges +q and a fourth, 12q, are...Ch. 23 - Repeat Exercise 14 for the case when the fourth...Ch. 23 - If the three particles in Fig. 23.1 have identical...Ch. 23 - A crude model of the water molecule has a...Ch. 23 - A capacitor consists of square conducting plates...Ch. 23 - An uncharged capacitor has parallel plates 5.0 cm...Ch. 23 - (a) How much charge must be transferred between...Ch. 23 - A capacitors plates hold 1.3 C when charged to 60...Ch. 23 - Show that the units of 0 may be written as F/m.Ch. 23 - Find the capacitance of a parallel-plate capacitor...Ch. 23 - A parallel-plate capacitor with 1.1-mm plate...Ch. 23 - The power supply in a stereo receiver contains a...Ch. 23 - Find the capacitance of a capacitor that stores...Ch. 23 - You have a 1.0-F and a 2.0-F capacitor. What...Ch. 23 - Two capacitors are connected in series and the...Ch. 23 - (a) Find the equivalent capacitance of the...Ch. 23 - Youre given three capacitors: 1.0 F, 2.0 F, and...Ch. 23 - The energy density in a uniform electric field is...Ch. 23 - A car battery stores about 4 MJ of energy. If this...Ch. 23 - Air undergoes dielectric breakdown at a field...Ch. 23 - Consider a proton to be a uniformly charged sphere...Ch. 23 - A charge Q0 is at the origin. A second charge. Qx...Ch. 23 - A conducting sphere of radius a is surrounded by a...Ch. 23 - Two closely spaced square conducting plates...Ch. 23 - The potential difference across a cell membrane is...Ch. 23 - Which can store more energy: a 1.0-F capacitor...Ch. 23 - A 0.01-F, 300-V capacitor costs 25; a 0.1-F, 100-V...Ch. 23 - A medical defibrillator stores 950 J in a 100-F...Ch. 23 - A camera requires 5.0 J of energy for a flash...Ch. 23 - Engineers testing an ultracapacitor (see...Ch. 23 - Your companys purchasing department bought lots of...Ch. 23 - Whats the equivalent capacitance measured between...Ch. 23 - In Fig. 23.14, find the energy stored in the 1-F...Ch. 23 - Capacitors C1, and C2 are in series, with voltage...Ch. 23 - Youre evaluating a new hire in your companys...Ch. 23 - A parallel-plate capacitor has plates with area 50...Ch. 23 - A 470-pF capacitor consists of two 15-cm-radius...Ch. 23 - The first accurate estimate of cell membrane...Ch. 23 - Your company is still stuck with those 2-F...Ch. 23 - A cubical region 1.0 m on a side is located...Ch. 23 - A sphere of radius R contains charge Q spread...Ch. 23 - A sphere of radius R carries total charge Q...Ch. 23 - Prob. 56P Ch. 23 - Two widely separated 4.0-mm-diameter water drops...Ch. 23 - A 2.1-mm-diameter wire carries a uniform line...Ch. 23 - A typical lightning flash transfers 30 C across a...Ch. 23 - A capacitor consists of two long concentric metal...Ch. 23 - A capacitor consists of a conducting sphere of...Ch. 23 - Show that the result of Problem 61 reduces to that...Ch. 23 - A solid sphere contains a uniform volume charge...Ch. 23 - An air-insulated parallel-plate capacitor of...Ch. 23 - Repeat parts (b) and (c) of Problem 64, now...Ch. 23 - A transmission line consists of two parallel...Ch. 23 - An infinitely long rod of radius R carries uniform...Ch. 23 - (a) Write the electrostatic potential energy of a...Ch. 23 - An unknown capacitor C is connected in series with...Ch. 23 - What total capacitance is required if the...Ch. 23 - If it were technically and economically feasible...Ch. 23 - While theyre firing, the average power delivered...Ch. 23 - Among the capacitors that store energy at NIF are...

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Show that the result of Problem 61 reduces to that of a parallel-plate capacitor when the separation b − a is much less than the radius a .

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Chapter 23 Solutions

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