Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 23, Problem 41P
Which can store more energy: a 1.0-μF capacitor rated or a 470-pF capacitor rated at 3 kV?
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Essential University Physics
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 - GOT IT? 23.4 You have two identical capacitors...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 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 - 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, –Q, lie at...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 - FastCAP Systems is a cutting-edge ultracapacitor...Ch. 23 - You have a 1.0-F and a 2.0-F capacitor. What...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 - Example 23.3: Find the equivalent capacitance in...Ch. 23 - Example 23.3: What voltage applied between points...Ch. 23 - Example 23.3: Find the equivalent capacitance...Ch. 23 - Example 23.3: In the circuit of Fig. 23.14, how...Ch. 23 - Example 23.5: A spherical shell of radius R...Ch. 23 - Prob. 34ECh. 23 - Example 23.5: A sphere of radius R contains charge...Ch. 23 - Prob. 36ECh. 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 - 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 - The electric field within a spherical region of...Ch. 23 - A sphere of radius R carries total charge Q...Ch. 23 - We live inside a giant capacitor! Its plates are...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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- Check Your Understanding The potential difference across a 5.0-pF capacitor is 0.40 V. (a) What is the energy stored in this capacitor? (b) The potential difference is now increased to 1.20 V. By what factor is the stored energy increased?arrow_forwardWhen a Leyden jar is charged by a hand generator (Fig. 27.1, page 828), the work done by the person turning the crank is stored as electric potential energy in the jar. When a capacitor is charged by a battery, where does the electric potential energy come from?arrow_forwardShow that for a given dielectric material, the maximum energy a parallel-plate capacitor can store is directly proportional to the volume of dielectric.arrow_forward
- Show that for a given dielectric material the maximum energy a parallel plate capacitor can store is directly proportional to the volume of dielectric (Volume = A. d). Note that the applied voltage is limited by the dielectric strength.arrow_forwardWhat total capacitances can you make by connecting a 5.00 F and an 8.00 F capacitor together?arrow_forwardCheck Your Understanding Repeat the calculations of Example 8.10 for the case in which the battery remains connected while the dielectric is placed in the capacitor.arrow_forward
- Find the total capacitance of the combination of capacitors shown in Figure 19.34. Figure 19.34 A combination of series and parallel connections of capacitors.arrow_forwardCheck Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?arrow_forwardAccording to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?arrow_forward
- A 1-megabit computer memory chip contains many 60.0 1015-F capacitors. Each capacitor has a plate area of 21.0 1012 m2. Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration.) The diameter of an atom is on the order of 1010 m = 1 . Express the plate separation in angstroms.arrow_forwardA capacitor is designed so that one plate is large and the other is small. If the plates are connected to a battery, (a) the large plate has a greater charge than the small plate, (b) the large plate has less charge than the small plate, or (c) the plates have equal, but opposite, charge.arrow_forwardA capacitor is designed so that one plate is large and the other is small. If the plates are connected to a battery, (a) the large plate has a greater charge than the small plate, (b) the large plate has less charge than the small plate, or (c) the plates have equal, but opposite, charge.arrow_forward
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