1 Introduction And Vectors 2 Motion In One Dimension 3 Motion In Two Dimensions 4 The Laws Of Motion 5 More Applications Of Newton’s Laws 6 Energy Of A System 7 Conservation Of Energy 8 Momentum And Collisions 9 Relativity 10 Rotational Motion 11 Gravity, Planetary Orbits, And The Hydrogen Atom 12 Oscillatory Motion 13 Mechanical Waves 14 Superposition And Standing Waves 15 Fluid Mechanics 16 Temperature And The Kinetic Theory Of Gases 17 Energy In Thermal Processes: The First Law Of Thermodynamics 18 Heat Engines, Entropy, And The Second Law Of Thermodynamics 19 Electric Forces And Electric Fields 20 Electric Potential And Capacitance 21 Current And Direct Current Circuits 22 Magnetic Forces And Magnetic Fields 23 Faraday’s Law And Inductance 24 Electromagnetic Waves 25 Reflection And Refraction Of Light 26 Image Formation By Mirrors And Lenses 27 Wave Optics 28 Quantum Physics 29 Atomic Physics 30 Nuclear Physics 31 Particle Physics Chapter20: Electric Potential And Capacitance
20.1 Electric Potential And Potential Diff Erence 20.2 Potential Diff Erence In A Uniform Electric Field 20.3 Electric Potential And Potential Energy Due To Point Charges 20.4 Obtaining The Value Of The Electric Field From The Electric Potential 20.5 Electric Potential Due To Continuous Charge Distributions 20.6 Electric Potential Due To A Charged Conductor 20.7 Capacitance 20.8 Combinations Of Capacitors 20.9 Energy Stored In A Charged Capacitor 20.10 Capacitors With Dielectrics 20.11 Context Connection: The Atmosphere As A Capacitor Chapter Questions Section: Chapter Questions
Problem 1OQ: A parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does... Problem 2OQ Problem 3OQ: A proton is released from rest at the origin in a uniform electric field in the positive x direction... Problem 4OQ: By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b)... Problem 5OQ Problem 6OQ: Rank the potential energies of the four systems of particles shown in Figure OQ20.6 from largest to... Problem 7OQ Problem 8OQ: In a certain region of space, a uniform electric field is in the x direction. A particle with... Problem 9OQ Problem 10OQ Problem 11OQ Problem 12OQ: A parallel-plate capacitor is connected to a battery. What happens to the stored energy if the plate... Problem 13OQ: Rank the electric potential energies of the systems of charges shown in Figure OQ20.13 from largest... Problem 14OQ: Four particles are positioned on the rim of a circle. The charges on the particles are +0.500 C,... Problem 15OQ Problem 16OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with... Problem 17OQ: An electronics technician wishes to construct a parallel plate capacitor using rutile ( = 100) as... Problem 18OQ Problem 19OQ Problem 20OQ: A parallel-plate capacitor filled with air carries a charge Q. The battery is disconnected, and a... Problem 21OQ Problem 1CQ Problem 2CQ Problem 3CQ Problem 4CQ Problem 5CQ Problem 6CQ Problem 7CQ Problem 8CQ Problem 9CQ: Why is it dangerous to touch the terminals of a high-voltage capacitor even after the voltage source... Problem 10CQ Problem 11CQ Problem 12CQ Problem 1P: A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure... Problem 2P Problem 3P: Calculate the speed of a proton that is accelerated from rest through an electric potential... Problem 4P Problem 5P: An electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its... Problem 7P: (a) Find the potential at a distance of 1.00 cm from a proton. (b) What is the potential difference... Problem 8P Problem 9P: Given two particles with 2.00-C charges as shown in Figure P20.9 and a particle with charge q = 1.28... Problem 10P: Three particles with equal positive charges q are at the corners of an equilateral triangle of side... Problem 11P: The three charged particles in Figure P20.11 are at the vertices of an isosceles triangle (where d =... Problem 12P Problem 13P Problem 14P: Review. A light, unstressed spring has length d. Two identical particles, each with charge q, are... Problem 15P: Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and... Problem 16P: Review. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed... Problem 17P: Two particles each with charge +2.00 C are located on the x axis. One is at x = 1.00 m, and the... Problem 18P Problem 19P: Two particles, with charges of 20.0 nC and 20.0 nC, are placed at the points with coordinates (0,... Problem 20P: At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and... Problem 21P: A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x... Problem 22P Problem 23P Problem 24P Problem 25P Problem 26P: A rod of length L (Fig. P20.26) lies along the x axis with its left end at the origin. It has a... Problem 27P: For the arrangement described in Problem 26, calculate the electric potential at point B, which lies... Problem 28P: A wire having a uniform linear charge density is bent into the shape shown in Figure P20.28. Find... Problem 29P: A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown... Problem 30P: How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300... Problem 31P Problem 32P Problem 33P: (a) How much charge is on each plate of a 4.00-F capacitor when it is connected to a 12.0-V battery?... Problem 34P: Two conductors having net charges of +10.0 C and 10.0 C have a potential difference of 10.0 V... Problem 35P Problem 36P: A spherical capacitor consists of a spherical conducting shell of radius b and charge 2Q that is... Problem 37P Problem 38P: A variable air capacitor used in a radio tuning circuit is made of N semicircular plates, each of... Problem 39P Problem 40P Problem 41P: (a) Regarding the Earth and a cloud layer 800 m above the Earth as the plates of a capacitor,... Problem 42P Problem 43P Problem 44P: (a) Find the equivalent capacitance between points a and b for the group of capacitors connected as... Problem 45P: Four capacitors are connected as shown in Figure P20.45. (a) Find the equivalent capacitance between... Problem 46P Problem 47P: According to its design specification, the timer circuit delaying the closing of an elevator door is... Problem 48P Problem 49P Problem 50P: Three capacitors are connected to a battery as shown in Figure P20.50. Their capacitances are C1 =... Problem 51P: Find the equivalent capacitance between points a and b in the combination of capacitors shown in... Problem 52P: Consider the circuit shown in Figure P20.52, where C1 = 6.00 F, C2 = 3.00 F, and V = 20.0 V.... Problem 53P Problem 54P: A parallel-plate capacitor has a charge Q and plates of area A. What force acts on one plate to... Problem 55P Problem 56P Problem 57P Problem 58P Problem 59P Problem 60P Problem 61P: A uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains... Problem 62P Problem 63P Problem 64P Problem 65P Problem 66P: A parallel-plate capacitor in air has a plate separation of 1.50 cm and a plate area of 25.0 cm2.... Problem 67P: Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which... Problem 68P Problem 69P Problem 70P Problem 71P Problem 72P Problem 73P Problem 74P Problem 75P Problem 76P Problem 77P Problem 78P Problem 79P Problem 80P Problem 81P Problem 82P Problem 83P: A 10.0-F capacitor is charged to 15.0 V. It is next connected in series with an uncharged 5.00-F... Problem 84P: Two large, parallel metal plates, each of area A, are oriented horizontally and separated by a... Problem 85P: A capacitor is constructed from two square, metallic plates of sides and separation d. Charges +Q... Problem 86P: Two square plates of sides are placed parallel to each other with separation d as suggested in... Problem 87P: Determine the equivalent capacitance of the combination shown in Figure P20.87. Suggestion: Consider... Problem 5OQ
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In a television picture tube, electrons strike the screen after being accelerated from rest through a potential difference of 16000 V. The speeds of the electrons are quite large, and for accurate calculations of the speeds, the effects of special relativity must be taken into account. Ignoring such effects, find the electron speed just before the electron strikes the screen
Definition Definition Theory that describes how space and time interact. The special theory of relativity is based on two postulates in Albert Einstein's first formulation: The laws of physics do not change in each inertial frame of reference. The speed of light in free space is constant.
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Step 2 Calculate the speed of the electron.
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