Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 60P
To determine
The potential difference.
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Principles of Physics: A Calculus-Based Text
Ch. 20.1 - In Figure 20. 1, two points and are located...Ch. 20.2 - The labeled points in Figure 20.4 are on a series...Ch. 20.3 - A spherical balloon contains a positively charged...Ch. 20.3 - In Active Figure 20.8a, take q1 to be a negative...Ch. 20.4 - In a certain region of space, the electric...Ch. 20.7 - A capacitor stores charge Q at a potential...Ch. 20.8 - Prob. 20.7QQCh. 20.9 - Prob. 20.8QQCh. 20.10 - If you have ever tried to hang a picture or a...Ch. 20 - A parallel-plate capacitor is charged and then is...
Ch. 20 - Prob. 2OQCh. 20 - A proton is released from rest at the origin in a...Ch. 20 - By what factor is the capacitance of a metal...Ch. 20 - Prob. 5OQCh. 20 - Rank the potential energies of the four systems of...Ch. 20 - Prob. 7OQCh. 20 - In a certain region of space, a uniform electric...Ch. 20 - Prob. 9OQCh. 20 - Prob. 10OQCh. 20 - Prob. 11OQCh. 20 - A parallel-plate capacitor is connected to a...Ch. 20 - Rank the electric potential energies of the...Ch. 20 - Four particles are positioned on the rim of a...Ch. 20 - Prob. 15OQCh. 20 - A filament running along the x axis from the...Ch. 20 - An electronics technician wishes to construct a...Ch. 20 - Prob. 18OQCh. 20 - Prob. 19OQCh. 20 - A parallel-plate capacitor filled with air carries...Ch. 20 - Prob. 21OQCh. 20 - Prob. 1CQCh. 20 - Prob. 2CQCh. 20 - Prob. 3CQCh. 20 - Prob. 4CQCh. 20 - Prob. 5CQCh. 20 - Prob. 6CQCh. 20 - Prob. 7CQCh. 20 - Prob. 8CQCh. 20 - Why is it dangerous to touch the terminals of a...Ch. 20 - Prob. 10CQCh. 20 - Prob. 11CQCh. 20 - Prob. 12CQCh. 20 - A uniform electric field of magnitude 325 V/m is...Ch. 20 - Prob. 2PCh. 20 - Calculate the speed of a proton that is...Ch. 20 - Prob. 4PCh. 20 - An electron moving parallel to the x axis has an...Ch. 20 - (a) Find the potential at a distance of 1.00 cm...Ch. 20 - Prob. 8PCh. 20 - Given two particles with 2.00-C charges as shown...Ch. 20 - Three particles with equal positive charges q are...Ch. 20 - The three charged particles in Figure P20.11 are...Ch. 20 - Prob. 12PCh. 20 - Prob. 13PCh. 20 - Review. A light, unstressed spring has length d....Ch. 20 - Review. Two insulating spheres have radii 0.300 cm...Ch. 20 - Review. Two insulating spheres have radii r1 and...Ch. 20 - Two particles each with charge +2.00 C are located...Ch. 20 - Prob. 18PCh. 20 - Two particles, with charges of 20.0 nC and 20.0...Ch. 20 - At a certain distance from a charged particle, the...Ch. 20 - A particle with charge +q is at the origin. A...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - A rod of length L (Fig. P20.26) lies along the x...Ch. 20 - For the arrangement described in Problem 26,...Ch. 20 - A wire having a uniform linear charge density is...Ch. 20 - A uniformly charged insulating rod of length 14.0...Ch. 20 - How many electrons should be removed from an...Ch. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - (a) How much charge is on each plate of a 4.00-F...Ch. 20 - Two conductors having net charges of +10.0 C and...Ch. 20 - Prob. 35PCh. 20 - A spherical capacitor consists of a spherical...Ch. 20 - Prob. 37PCh. 20 - A variable air capacitor used in a radio tuning...Ch. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - (a) Regarding the Earth and a cloud layer 800 m...Ch. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - (a) Find the equivalent capacitance between points...Ch. 20 - Four capacitors are connected as shown in Figure...Ch. 20 - Prob. 46PCh. 20 - According to its design specification, the timer...Ch. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Three capacitors are connected to a battery as...Ch. 20 - Find the equivalent capacitance between points a...Ch. 20 - Consider the circuit shown in Figure P20.52, where...Ch. 20 - Prob. 53PCh. 20 - A parallel-plate capacitor has a charge Q and...Ch. 20 - Prob. 55PCh. 20 - Prob. 56PCh. 20 - Prob. 57PCh. 20 - Prob. 58PCh. 20 - Prob. 59PCh. 20 - Prob. 60PCh. 20 - A uniform electric field E = 3 000 V/m exists...Ch. 20 - Prob. 62PCh. 20 - Prob. 63PCh. 20 - Prob. 64PCh. 20 - Prob. 65PCh. 20 - A parallel-plate capacitor in air has a plate...Ch. 20 - Lightning can be studied with a Van de Graaff...Ch. 20 - Prob. 68PCh. 20 - Prob. 69PCh. 20 - Prob. 70PCh. 20 - Prob. 71PCh. 20 - Prob. 72PCh. 20 - Prob. 73PCh. 20 - Prob. 74PCh. 20 - Prob. 75PCh. 20 - Prob. 76PCh. 20 - Prob. 77PCh. 20 - Prob. 78PCh. 20 - Prob. 79PCh. 20 - Prob. 80PCh. 20 - Prob. 81PCh. 20 - Prob. 82PCh. 20 - A 10.0-F capacitor is charged to 15.0 V. It is...Ch. 20 - Two large, parallel metal plates, each of area A,...Ch. 20 - A capacitor is constructed from two square,...Ch. 20 - Two square plates of sides are placed parallel to...Ch. 20 - Determine the equivalent capacitance of the...
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- Consider the circuit shown in Figure P20.52, where C1 = 6.00 F, C2 = 3.00 F, and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S2. Calculate (a) the initial charge acquired by C1 and (b) the final charge on each capacitor. Figure P20.52arrow_forwardAssume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.arrow_forwardA parallel-plate capacitor has square plates of side s = 2.50 cm and plate separation d = 2.50 mm. The capacitor is charged by a battery to a charge Q = 4.00 C, after which the battery is disconnected. A porcelain dielectric ( = 6.5) is then inserted a distance y = 1.00 cm into the capacitor (Fig. P27.88). Hint: Consider the system as two capacitors connected in parallel. a. What is the effective capacitance of this capacitor? b. How much energy is stored in the capacitor? c. What are the magnitude and direction of the force exerted on the dielectric by the plates of the capacitor? Figure P27.88arrow_forward
- A variable air capacitor used in a radio tuning circuit is made of N semicircular plates, each of radius R and positioned a distance d from its neighbors, to which it is electrically connected. As shown in Figure P20.38, a second identical set of plates is enmeshed with the first set. Each plate in the second set is halfway between two plates of the first set. The second set can rotate as a unit. Determine the capacitance as a function of the angle of rotation , where = 0 corresponds to the maximum capacitance. Figure P20.38arrow_forwardThe capacitances of three capacitors are in the ratio 1:2:3. Their equivalent capacitance when all three are in parallel is 120.0 pF greater than when all three are in series. Determine the capacitance of each capacitor.arrow_forwardFind the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P20.51. Figure P20.51arrow_forward
- A parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does the stored energy change when the plate separation is then doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It stays the same. (d) It becomes one-half as large. (e) It becomes one-fourth as large.arrow_forwardFind the charge on each of the capacitors in Figure P16.43. Figure P16.43arrow_forwardAssume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed pulse duration = 50.0 m/s 2.0 103 s = 0.10 m). In the resting state, the outer surface of the axon wall is charged positively with K+ ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in Figure P18.43. Model the axon as a parallel-plate capacitor and take C = 0A/d and Q = C V to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.0 108 m, axon radius r = 1.0 101 m, and cell-wall dielectric constant = 3.0. (a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 102 V? Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per squared (2). An atom has a cross section of about 1 2 (1 = 1010 m). (b) How much positive charge must flow through the cell membrane to reach the excited state of + 3.0 102 V from the resting state of 7.0 102 V? How many sodium ions (Na+) is this? (c) If it takes 2.0 ms for the Na+ ions to enter the axon, what is the average current in the axon wall in this process? (d) How much energy does it take to raise the potential of the inner axon wall to + 3.0 102 V, starting from the resting potential of 7.0 102 V? Figure P18.43 Problem 43 and 44.arrow_forward
- Three capacitors are connected to a battery as shown in Figure P16.44. Their capacitances are C1 = 3C, C2 = C, and C3 = 5C. (a) What is the equivalent capacitance of this set of capacitors? (b) State the ranking of the capacitors according to the charge they store from largest to smallest. (c) Rank the capacitors according to the potential differences across them from largest to smallest. (d) Assume C3 is increased. Explain what happens to the charge stored by each capacitor. Figure P16.44arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46arrow_forwardConsider the combination of capacitors in Figure P16.42. (a) Find the equivalent single capacitance of the two capacitors in series and redraw the diagram (called diagram 1) with this equivalent capacitance. (b) In diagram 1, find the equivalent capacitance of the three capacitors in parallel and redraw the diagram as a single battery and single capacitor in a loop. (c) Compute the charge on the single equivalent capacitor. (d) Returning to diagram 1, compute the charge on each individual capacitor. Does the sum agree with the value found in part (c)? (e) What is the charge on the 24.0-F capacitor and on the 8.00-F capacitor? Compute the voltage drop across (f) the 24.0-F capacitor and (g) the 8.00-F capacitor. Figure P16.42arrow_forward
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