Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 25, Problem 34AP
Four parallel metal plates P1, P2, P3, and P4, each of area 7.50 cm2, are separated successively by a distance d = 1.19 mm as shown in Figure P25.34. Plate P1 is connected to the negative terminal of a battery, and P2 is connected to the positive terminal. The battery maintains a potential difference of 12.0 V. (a) If P3 is connected to the negative terminal, what is the capacitance of the three-plate system P1P2P3? (b) What is the charge on P2? (c) If P4 is now connected to the positive terminal, what is the capacitance of the four-plate system P1P2P3P4? (d) What is the charge on P4?
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Chapter 25 Solutions
Physics for Scientists and Engineers
Ch. 25.1 - A capacitor stores charge Q at a potential...Ch. 25.2 - Many computer keyboard buttons are constructed of...Ch. 25.3 - Two capacitors are identical. They can be...Ch. 25.4 - You have three capacitors and a battery. In which...Ch. 25.5 - If you have ever tried to hang a picture or a...Ch. 25 - (a) When a battery is connected to the plates of a...Ch. 25 - Two conductors having net charges of +10.0 C and...Ch. 25 - When a potential difference of 150 V is applied to...Ch. 25 - An air-filled parallel-plate capacitor has plates...Ch. 25 - A variable air capacitor used in a radio tuning...
Ch. 25 - Review. A small object of mass m carries a charge...Ch. 25 - Find the equivalent capacitance of a 4.20-F...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - A group of identical capacitors is connected first...Ch. 25 - Three capacitors are connected to a battery as...Ch. 25 - Four capacitors are connected as shown in Figure...Ch. 25 - (a) Find the equivalent capacitance between points...Ch. 25 - Find the equivalent capacitance between points a...Ch. 25 - You are working at an electronics fabrication...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 25 - Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are...Ch. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are...Ch. 25 - A parallel-plate capacitor has a charge Q and...Ch. 25 - Consider two conducting spheres with radii R1 and...Ch. 25 - A supermarket sells rolls of aluminum foil,...Ch. 25 - Determine (a) the capacitance and (b) the maximum...Ch. 25 - The voltage across an air-filled parallel-plate...Ch. 25 - A commercial capacitor is to be constructed as...Ch. 25 - Each capacitor in the combination shown in Figure...Ch. 25 - A 2.00-nF parallel-plate capacitor is charged to...Ch. 25 - An infinite line of positive charge lies along the...Ch. 25 - A small object with electric dipole moment p is...Ch. 25 - The general form of Gausss law describes how a...Ch. 25 - You are working in a laboratory, using very...Ch. 25 - Four parallel metal plates P1, P2, P3, and P4,...Ch. 25 - A uniform electric field E = 3 000 V/m exists...Ch. 25 - Two large, parallel metal plates, each of area A,...Ch. 25 - A parallel-plate capacitor with vacuum between its...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - Two square plates of sides are placed parallel to...Ch. 25 - (a) Two spheres have radii a and b, and their...Ch. 25 - Assume that the internal diameter of the...Ch. 25 - A parallel-plate capacitor of plate separation d...Ch. 25 - To repair a power supply for a stereo amplifier,...Ch. 25 - Example 25.1 explored a cylindrical capacitor of...Ch. 25 - You are part of a team working in a machine parts...Ch. 25 - Consider two long, parallel, and oppositely...Ch. 25 - Some physical systems possessing capacitance...Ch. 25 - A parallel-plate capacitor with plates of area LW...Ch. 25 - A capacitor is constructed from two square,...Ch. 25 - This problem is a continuation of Problem 45. You...
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- An arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.arrow_forwardGiven the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P20.44. Take C1 = 5.00 F, C2 = 10.0 F, and C3 = 2.00 F. (b) What charge is stored on C3 if the potential difference between points a and b is 60.0 V? Figure P20.44arrow_forward
- (a) What is the energy stored in the 10.0 F capacitor of a heart defibrillator charged to 9.00103 V ? (b) Find the amount of stored charge.arrow_forwardA spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. Tire inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor, (a) What is the capacitance of the capacitor? tb) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?arrow_forwardA spherical capacitor consists of a spherical conducting shell of radius b and charge 2Q that is concentric with a smaller conducting sphere of radius a and charge +Q (Fig. P20.36). (a) Show that its capacitance is C=abke(ba) (b) Show that as b approaches infinity, the capacitance approaches the value a/ke = 40a. Figure P20.36arrow_forward
- A Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.arrow_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_forwardWhat If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.arrow_forward
- Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P20.51. Figure P20.51arrow_forwardFind the charge on each of the capacitors in Figure P16.43. Figure P16.43arrow_forwardFour capacitors are connected as shown in Figure P20.45. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking Vab = 15.0 V. Figure P20.45arrow_forward
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