20 Electric Charge, Force, And Field 21 Gauss's Law 22 Electric Potential 23 Electrostatic Energy And Capacitors 24 Electric Current 25 Electric Circuits 26 Magnetism: Force And Field 27 Electromagnetic Induction 28 Alternating-current Circuits 29 Maxwell's Equations And Electromagnetic Waves 30 Reflection And Refraction 31 Images And Optical Instruments 32 Interference And Diffraction 33 Relativity 34 Particles And Waves 35 Quantum Mechanics 36 Atomic Physics 37 Molecules And Solids 38 Nuclear Physics 39 From Quarks To The Cosmos expand_more
23.1 Electrostatic Energy 23.2 Capacitors 23.3 Using Capacitors 23.4 Energy In The Electric Field Chapter Questions expand_more
Problem 1FTD: Two positive point charges are infinitely far apart. Is it possible, using a finite amount of work,... Problem 2FTD: How does the energy density at a certain distance from a netive point charge compare with the energy... Problem 3FTD: A dipole consists of two equal but opposite charges. Is the total energy stored in the dipoles... Problem 4FTD: Charge is spread over the surface of a balloon, which is then allowed to expand. Does the energy... Problem 5FTD: Does the superposition principle hold for electric-field energy densities? That is, if you double... Problem 6FTD: A capacitor is said to carry a charge Q. Whats the net charge on the entire capacitor? Problem 7FTD: Does the capacitance describe the maximum amount of charge a capacitor can hold, in the same way... Problem 8FTD: Is a force needed to hold the plates of a charged capacitor in place? Explain. Problem 9FTD: Two capacitors contain equal amounts of energy, yet one has twice the capacitance. How do their... Problem 10FTD: A parallel-plate capacitor is connected to a battery that imposes a potential difference V between... Problem 11E: Four 75-C charges, initially far apart, are brought onto a line where theyre spaced at 5.0-cm... Problem 12E: Three point charges +Q, and a fourth, –Q, lie at the corners of a square. Find the electrostatic... Problem 13E: A crude model of the water molecule has a negatively charged oxygen atom and two protons, as shown... Problem 14E: A capacitor consists of square conducting plates 25 cm on a side and 5.0 mm apart, carrying charges... Problem 15E: An uncharged capacitor has parallel plates 5.0 cm on a side, spaced 1.2 mm apart, (a) How much work... Problem 16E: (a) How much charge must be transferred between the initially uncharged plates of the capacitor in... Problem 17E: A capacitors plates hold 1.3 C when charged to 60 V. Whats its capacitance? Problem 18E: Show that the units of 0 may be written as F/m. Problem 19E: Find the capacitance of a parallel-plate capacitor with circular plates 20 cm in radius separated by... Problem 20E: A parallel-plate capacitor with 1.1-mm plate spacing has 2.3 C on its plates when charged to 150 V.... Problem 21E: FastCAP Systems is a cutting-edge ultracapacitor manufacturer spun off from MIT. Their 35-F model... Problem 22E: You have a 1.0-F and a 2.0-F capacitor. What capacitances can you get by connecting them in series... Problem 23E: (a) Find the equivalent capacitance of the combination shown in Fig. 23.13. Find (b) the charge and... Problem 24E: Youre given three capacitors: 1.0 F, 2.0 F, and 3.0 F. Find (a) the maximum, (b) the minimum, and... Problem 25E: The energy density in a uniform electric field is 3.0 J/m3. Whats the field strength? Problem 26E: A car battery stores about 4 MJ of energy. If this energy were used to create a uniform 30-kV/m... Problem 27E: Air undergoes dielectric breakdown at a field strength of 3 MV/m. Could you store energy in an... Problem 28E: Consider a proton to be a uniformly charged sphere 1 fm in radius. Find the electric energy density... Problem 29E: Example 23.3: Find the equivalent capacitance in the circuit of Fig. 23.9a, now taking C1 = 6.8μF,... Problem 30E: Example 23.3: What voltage applied between points A and B in Fig. 23.9a will result in a potential... Problem 31E: Example 23.3: Find the equivalent capacitance measured between points A and B in Fig. 23.14.
Problem 32E: Example 23.3: In the circuit of Fig. 23.14, how much energy is stored in the 2.7-μF capacitor when a... Problem 33E: Example 23.5: A spherical shell of radius R carries a charge Q spread uniformly over its surface.... Problem 34E Problem 35E: Example 23.5: A sphere of radius R contains charge Q spread uniformly throughout its volume. Use the... Problem 36E Problem 37P: A charge Q0 is at the origin. A second charge. Qx = 2Q0. Is brought from infinity to the point x =... Problem 38P: A conducting sphere of radius a is surrounded by a concentric spherical shell of radius b. Both are... Problem 39P: Two closely spaced square conducting plates measure 10 cm on a side. The electric-field energy... Problem 40P: The potential difference across a cell membrane is 65 mV. On the outside are 1.5 106 singly ionized... Problem 41P: Which can store more energy: a 1.0-F capacitor rated or a 470-pF capacitor rated at 3 kV? Problem 42P: A 0.01-F, 300-V capacitor costs 25; a 0.1-F, 100-V capacitor costs 35; and a 30-F, 5-V capacitor... Problem 43P: A medical defibrillator stores 950 J in a 100-F capacitor, (a) What is the voltage across the... Problem 44P: A camera requires 5.0 J of energy for a flash lasting 1.0 ms. (a) What power does the flashtube use... Problem 45P: Engineers testing an ultracapacitor (see Application on page 420) measure the capacitors stored... Problem 46P: Your companys purchasing department bought lots of cheap 2.0-F, 50-V capacitors. Your budget is... Problem 47P: Capacitors C1, and C2 are in series, with voltage V across the combination. Show that the voltages... Problem 48P: Youre evaluating a new hire in your companys engineering department. Together youre working on a... Problem 49P: A parallel-plate capacitor has plates with area 50 cm2 separated by 25 m of polyethylene. Find its... Problem 50P: A 470-pF capacitor consists of two 15-cm-radius circular plates, insulated with polystyrene. Find... Problem 51P: The first accurate estimate of cell membrane thickness used a capacitive technique, which determined... Problem 52P: Your company is still stuck with those 2-F capacitors from Problem 44. They turn out to be so cheap... Problem 53P: A cubical region 1.0 m on a side is located between x = 0 and x = 1 m. The region contains an... Problem 54P: The electric field within a spherical region of radius R is inversely proportional to the distance r... Problem 55P: A sphere of radius R carries total charge Q distributed uniformly over its surface. Show that the... Problem 56P: We live inside a giant capacitor! Its plates are Earth’s surface and the ionosphere, a conducting... Problem 57P: Two widely separated 4.0-mm-diameter water drops each carry 15 nC. Assuming all charge resides on... Problem 58P: A 2.1-mm-diameter wire carries a uniform line charge density = 28 C/m. Find the energy in a region... Problem 59P: A typical lightning flash transfers 30 C across a potential difference of 30 MV. Assuming such... Problem 60P: A capacitor consists of two long concentric metal cylinders (Fig. 23.15). Find an expression for its... Problem 61P: A capacitor consists of a conducting sphere of radius a surrounded by a concentric conducting shell... Problem 62P: Show that the result of Problem 61 reduces to that of a parallel-plate capacitor when the separation... Problem 63P: A solid sphere contains a uniform volume charge density. What fraction of the total electrostatic... Problem 64P: An air-insulated parallel-plate capacitor of capacitance C0 is chained to voltage V0 and then... Problem 65P: Repeat parts (b) and (c) of Problem 64, now assuming the battery remains connected while the slab is... Problem 66P: A transmission line consists of two parallel wires, of radius a and separation b, carrying uniform... Problem 67P: An infinitely long rod of radius R carries uniform volume charge density . Find an expression for... Problem 68P: (a) Write the electrostatic potential energy of a pair of oppositely charged, closely spaced... Problem 69P: An unknown capacitor C is connected in series with a 3.0-F capacitor; this pair is placed in... Problem 70PP: What total capacitance is required if the capacitor system is charged to 20 kV? a. 100 F b. 200 F c.... Problem 71PP: If it were technically and economically feasible to double the voltage, how would the required... Problem 72PP: While theyre firing, the average power delivered by the laser beams is a. 100 KW. b. 100 MW. c. 100... Problem 73PP: Among the capacitors that store energy at NIF are 1200 300-F units charged to about 20 kV. The... format_list_bulleted