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Chapter 17 Section 1 Electric Potential Objectives Distinguish between electrical potential energy, electric potential, and potential difference. Solve problems involving electrical energy and potential difference. Describe the energy conversions that occur in a battery. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Electrical Potential Energy Electrical potential energy -energy associated with a charge due to its position in an electric field. Magnitude of charge in field plays a role! ME = KE + PEgrav + PEelastic + PEelectric Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Electrical Potential Energy, continued Electrical Potential Energy in a Uniform Electric Field PEelectric = –qEd PE =electrical potential energy q=charge E=electric field strength d=distance - PE increases in – charge and decreases if + charge Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. PE Charge and Direction + charge - Charge Toward E Lose pe - Gain pe + Opposite E Gain pe + Lose pe - Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Electrical Potential Energy Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Section 1 Electric Potential Chapter 17 Potential Difference Electric Potential = work done against electric force to move a test charge a distance in an electric field. V=volts= J/C PEelectric V q Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Potential difference is a change in electric potential. PEelectric V q change in electric potential energy potential difference electric charge Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Potential Difference Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Electric Potential Chapter 17 The potential difference in a uniform field varies with distance from a reference point. Test charge quantity is irrelevant! Related to field strength only Potential Difference in a Uniform Electric Field ∆V = –Ed ∆V= potential difference E=magnitude of the electric field d=displacement Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Sample Problem Potential Energy and Potential Difference A charge moves a distance of 2.0 cm in the direction of a uniform electric field whose magnitude is 215 N/C.As the charge moves, its electrical potential energy decreases by 6.9 10-19 J. Find the charge on the moving particle. What is the potential difference between the two locations? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Sample Problem, continued Potential Energy and Potential Difference Given: ∆PEelectric = –6.9 10–19 J d = 0.020 m E = 215 N/C Unknown: q=? ∆V = ? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Sample Problem, continued Potential Energy and Potential Difference PEelectric = –qEd PEelectric (–6.9 10 J) q– – Ed (215 N/C)(0.020 m) –19 q 1.6 10 –19 C Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Sample Problem, continued Potential Energy and Potential Difference V – Ed –(215 N/C)(0.020 m) V –4.3 V Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Potential Difference, continued At right, the electric potential at point A depends on the charge at point B and the distance r. An electric potential exists at some point in an electric field regardless of whether there is a charge at that point. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential Superposition Principle and Electric Potential Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 1 Electric Potential reference point for potential difference is infinity. Equation is q V kC r potential difference = Coulomb constant value of the point charge distance to the point charge Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Objectives Relate capacitance to the storage of electrical potential energy in the form of separated charges. Calculate the capacitance of various devices. Calculate the energy stored in a capacitor. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance ` A capacitor stores electrical potential energy. units for capacitance is the farad, F = (C/V) Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Capacitors and Charge Storage, continued Capacitance= charge/volts Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Capacitance Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Capacitance for a ParallelPlate Capacitor in a Vacuum Capacitance depends on size and material of a capacitor. Ε=permitivity constant 8.85X10-12C2/N*m D= distance A=area Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Capacitors and Charge Storage The material between a capacitor’s plates can change its capacitance. Computer chips in essence act as 1 E6th tiny capacitors Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Parallel-Plate Capacitor Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Energy and Capacitors The potential energy stored in a charged capacitor depends on the charge and the potential difference between the capacitor’s two plates. PE=1/2CV2 PEelectric electrical potential energy = 1 1 QV 2 (charge on one plate)(final potential difference 2 Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Honors C= ε̧ A/d Where ε = permitivity (from table) A=area D=distance of plates Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Summing up equations K cq W PE F ed V Ed q q q d Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Sample Problem Capacitance A capacitor, connected to a 12 V battery, holds 36 µC of charge on each plate. What is the capacitance of the capacitor? How much electrical potential energy is stored in the capacitor? Given: Q = 36 µC = 3.6 10–5 C ∆V = 12 V Unknown: C=? PEelectric = ? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Sample Problem, continued Capacitance To determine the capacitance, use the definition of capacitance. Q 3.6 10 –5 C C V 12 V C 3.0 10 –6 F 3.0 µF Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Sample Problem, continued Capacitance To determine the potential energy, use the alternative form of the equation for the potential energy of a charged capacitor: 1 PEelectric C( V )2 2 1 PEelectric (3.0 10 –6 F)(12 V)2 2 PEelectric 2.2 10 –4 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Objectives Describe the basic properties of electric current, and solve problems relating current, charge, and time. Distinguish between the drift speed of a charge carrier and the average speed of the charge carrier between collisions. Calculate resistance, current, and potential difference by using the definition of resistance. Distinguish between ohmic and non-ohmic materials, and learn what factors affect resistance. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Current and Charge Movement Electric current =rate at which electric charges pass through a circuit. I=current measured in amperes or (amps) given area. Q I t electric current = charge passing through a given area time interval Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Conventional Current Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Drift Velocity Drift velocity is the the net velocity of a charge in an electric field. Drift speeds are small Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Ohm’s Law Resistance =opposition =to electric current . units =ohm (Ω) volt / ampere. R=Resistance V=volts V R I potential difference resistance current Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Resistance to Current Ohmic materials=resistance is constant over a range of voltage. not true for all materials. Resistance depends on length, cross-sectional area, temperature, and material. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Factors that Affect Resistance Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 3 Current and Resistance Resistance to Current Resistors can be used to control the amount of current in a conductor. Potentiometers (rheostats, variable resistors) have variable resistance. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 4 Electric Power Sources and Types of Current Batteries and generators supply energy to charge carriers. Current can be direct or alternating. In direct current, charges move in a single direction. In alternating current, the direction of charge movement continually alternates. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 4 Electric Power Energy Transfer Electric power is the rate of conversion of electrical energy. • Electric companies measure energy consumed in kilowatt-hours. A kilowatt hour is equal to 3600000 J. • Electrical energy is transferred at high voltage to minimize energy loss. Reduce current increase pressure. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 4 Electric Power Energy Transfer Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 4 Electric Power Relating Kilowatt-Hours to Joules Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice 1. What changes would take place if the electron moved from point A to point B in the uniform electric field? A. The electron’s electrical potential energy would increase; its electric potential would increase. B. The electron’s electrical potential energy would increase; its electric potential would decrease. C. The electron’s electrical potential energy would decrease; its electric potential would decrease. D. Neither the electron’s electrical potential energy nor its electric potential would change. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 1. What changes would take place if the electron moved from point A to point B in the uniform electric field? A. The electron’s electrical potential energy would increase; its electric potential would increase. B. The electron’s electrical potential energy would increase; its electric potential would decrease. C. The electron’s electrical potential energy would decrease; its electric potential would decrease. D. Neither the electron’s electrical potential energy nor its electric potential would change. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 2. What changes would take place if the electron moved from point A to point C in the uniform electric field? F. The electron’s electrical potential energy would increase; its electric potential would increase. G. The electron’s electrical potential energy would increase; its electric potential would decrease. H. The electron’s electrical potential energy would decrease; its electric potential would decrease. J. Neither the electron’s electrical potential energy nor its electric potential would change. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 2. What changes would take place if the electron moved from point A to point C in the uniform electric field? F. The electron’s electrical potential energy would increase; its electric potential would increase. G. The electron’s electrical potential energy would increase; its electric potential would decrease. H. The electron’s electrical potential energy would decrease; its electric potential would decrease. J. Neither the electron’s electrical potential energy nor its electric potential would change. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 3–4. A proton (q = 1.6 10–19 C) moves 2.0 10–6 m in the direction of an electric field that has a magnitude of 2.0 N/C. 3. What is the change in the electrical potential energy associated with the proton? A. –6.4 10–25 J B. –4.0 10–6 V C. +6.4 10–25 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 3–4. A proton (q = 1.6 10–19 C) moves 2.0 10–6 m in the direction of an electric field that has a magnitude of 2.0 N/C. 3. What is the change in the electrical potential energy associated with the proton? A. –6.4 10–25 J B. –4.0 10–6 V C. +6.4 10–25 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 3–4. A proton (q = 1.6 10–19 C) moves 2.0 10–6 m in the direction of an electric field that has a magnitude of 2.0 N/C. 4. What is the potential difference between the proton’s starting point and ending point? F. –6.4 10–25 J G. –4.0 10–6 V H. +6.4 10–25 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 3–4. A proton (q = 1.6 10–19 C) moves 2.0 10–6 m in the direction of an electric field that has a magnitude of 2.0 N/C. 4. What is the potential difference between the proton’s starting point and ending point? F. –6.4 10–25 J G. –4.0 10–6 V H. +6.4 10–25 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 5. If the negative terminal of a 12 V battery is grounded, what is the potential of the positive terminal? A. –12 V B. +0 V C. +6 V D. +12 V Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 5. If the negative terminal of a 12 V battery is grounded, what is the potential of the positive terminal? A. –12 V B. +0 V C. +6 V D. +12 V Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 6. If the area of the plates of a parallel-plate capacitor is doubled while the spacing between the plates is halved, how is the capacitance affected? F. C is doubled G. C is increased by four times H. C is decreased by 1/4 J. C does not change Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 6. If the area of the plates of a parallel-plate capacitor is doubled while the spacing between the plates is halved, how is the capacitance affected? F. C is doubled G. C is increased by four times H. C is decreased by 1/4 J. C does not change Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 7–8. A potential difference of 10.0 V exists across the plates of a capacitor when the charge on each plate is 40.0 µC. 7. What is the capacitance of the capacitor? A. 2.00 10–4 F B. 4.00 10–4 F C. 2.00 10–6 F D. 4.00 10–6 F Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 7–8. A potential difference of 10.0 V exists across the plates of a capacitor when the charge on each plate is 40.0 µC. 7. What is the capacitance of the capacitor? A. 2.00 10–4 F B. 4.00 10–4 F C. 2.00 10–6 F D. 4.00 10–6 F Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 7–8. A potential difference of 10.0 V exists across the plates of a capacitor when the charge on each plate is 40.0 µC. 8. How much electrical potential energy is stored in the capacitor? F. 2.00 10–4 J G. 4.00 10–4 J H. 2.00 10–6 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued Use the following passage to answer questions 7–8. A potential difference of 10.0 V exists across the plates of a capacitor when the charge on each plate is 40.0 µC. 8. How much electrical potential energy is stored in the capacitor? F. 2.00 10–4 J G. 4.00 10–4 J H. 2.00 10–6 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 9. How long does it take 5.0 C of charge to pass through a given cross section of a copper wire if I = 5.0 A? A. 0.20 s B. 1.0 s C. 5.0 s D. 25 s Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 9. How long does it take 5.0 C of charge to pass through a given cross section of a copper wire if I = 5.0 A? A. 0.20 s B. 1.0 s C. 5.0 s D. 25 s Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 10. A potential difference of 12 V produces a current of 0.40 A in a piece of copper wire. What is the resistance of the wire? F. 4.8 Ω G. 12 Ω H. 30 Ω J. 36 Ω Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 10. A potential difference of 12 V produces a current of 0.40 A in a piece of copper wire. What is the resistance of the wire? F. 4.8 Ω G. 12 Ω H. 30 Ω J. 36 Ω Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 11. How many joules of energy are dissipated by a 50.0 W light bulb in 2.00 s? A. 25.0 J B. 50.0 J C. 100 J D. 200 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 11. How many joules of energy are dissipated by a 50.0 W light bulb in 2.00 s? A. 25.0 J B. 50.0 J C. 100 J D. 200 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 12. How much power is needed to operate a radio that draws 7.0 A of current when a potential difference of 115 V is applied across it? F. 6.1 10–2 W G. 2.3 100 W H. 1.6 101 W J. 8.0 102 W Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Multiple Choice, continued 12. How much power is needed to operate a radio that draws 7.0 A of current when a potential difference of 115 V is applied across it? F. 6.1 10–2 W G. 2.3 100 W H. 1.6 101 W J. 8.0 102 W Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response 13. Electrons are moving from left to right in a wire. No other charged particles are moving in the wire. In what direction is the conventional current? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response, continued 13. Electrons are moving from left to right in a wire. No other charged particles are moving in the wire. In what direction is the conventional current? Answer: right to left Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response, continued 14. What is drift velocity, and how does it compare with the speed at which an electric field travels through a wire? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response, continued 14. What is drift velocity, and how does it compare with the speed at which an electric field travels through a wire? Answer: Drift velocity is the net velocity of a charge carrier moving in an electric field. Drift velocities in a wire are typically much smaller than the speeds at which changes in the electric field propagate through the wire. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response, continued 15. List four factors that can affect the resistance of a wire. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Short Response, continued 15. List four factors that can affect the resistance of a wire. Answer: length, cross-sectional area (thickness), temperature, and material Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. a. Assuming that the capacitor is operating in a vacuum and that the permittivity of a vacuum (e0 = 8.85 10–12 C2/N•m2) can be used, determine the capacitance of the capacitor. Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. a. Assuming that the capacitor is operating in a vacuum and that the permittivity of a vacuum (e0 = 8.85 10–12 C2/N•m2) can be used, determine the capacitance of the capacitor. Answer: 3.10 10–13 F Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. b. How much charge will be stored on each plate of the capacitor when the capacitor’s plates are connected across a potential difference of 0.12 V? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. b. How much charge will be stored on each plate of the capacitor when the capacitor’s plates are connected across a potential difference of 0.12 V? Answer: 3.7 10–14 C Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. c. What is the electrical potential energy stored in the capacitor when fully charged by the potential difference of 0.12 V? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. c. What is the electrical potential energy stored in the capacitor when fully charged by the potential difference of 0.12 V? Answer: 2.2 10–15 J Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. d. What is the potential difference between a point midway between the plates and a point that is 1.10 10–4 m from one of the plates? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. d. What is the potential difference between a point midway between the plates and a point that is 1.10 10–4 m from one of the plates? Answer: 3.4 10–2 V Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. e. If the potential difference of 0.12 V is removed from the circuit and the circuit is allowed to discharge until the charge on the plates has decreased to 70.7 percent of its fully charged value, what will the potential difference across the capacitor be? Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Standardized Test Prep Extended Response, continued 16. A parallel-plate capacitor is made of two circular plates, each of which has a diameter of 2.50 10–3 m. The plates of the capacitor are separated by a space of 1.40 10–4 m. e. If the potential difference of 0.12 V is removed from the circuit and the circuit is allowed to discharge until the charge on the plates has decreased to 70.7 percent of its fully charged value, what will the potential difference across the capacitor be? Chapter menu –2 Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Charging a Capacitor Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance A Capacitor With a Dielectric Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved. Chapter 17 Section 2 Capacitance Factors That Affect Resistance Chapter menu Resources Copyright © by Holt, Rinehart and Winston. All rights reserved.