Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 27, Problem 2PQ
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It is easier or harder to turn the crank for long time.
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Question 63: The switch in Figure 7.95 is initially closed. (a) What charge will the capacitor have at equilibrium? (b) If we open the switch at time t=0, when will the load on the capacitor be reduced to 25% of its initial value?
Answer: (a) 900 uC; (b) 58,2 ms
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The highest magnetic fields in the world are generated when large arrays, or “banks,” of capacitors are discharged through the copper coils of an electromagnet. At the National High Magnetic Field Laboratory, the total capacitance of the capacitor bank is 32 mF. These capacitors can be charged to 16 kV.a. What is the energy stored in the capacitor bank when it is fully charged?b. When discharged, the entire energy from this bank flows through the magnet coil in 10 ms. What is the average power delivered to the coils during this time?
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Chapter 27 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 27.1 - CASE STUDY How Big a Spring? Imagine the ring in...Ch. 27.2 - Consider two different capacitors, A and B. Figure...Ch. 27.2 - a. If capacitor B in Figure 27.8 has a charge of...Ch. 27.3 - Explain why electrons stop flowing when the...Ch. 27.3 - A large parallel-plate capacitor is attached to a...Ch. 27.4 - CASE STUDY Capacitors for a Thompson coil The...Ch. 27.7 - An X-ray tube at a dentists office produces X-rays...Ch. 27 - CASE STUDY Concept Exercise 27.1 (page 829), we...Ch. 27 - Prob. 2PQCh. 27 - In Franklins time, a device for storing electric...
Ch. 27 - The first Leyden jar was probably discovered by a...Ch. 27 - Prob. 5PQCh. 27 - According to UE=12C(V)2 (Eq. 27.3), a greater...Ch. 27 - In Figure P27.7, capacitor 1 (C1 = 20.0 F)...Ch. 27 - Prob. 8PQCh. 27 - A 4.50-F capacitor is connected to a battery for a...Ch. 27 - Prob. 10PQCh. 27 - Prob. 11PQCh. 27 - Prob. 12PQCh. 27 - Prob. 13PQCh. 27 - When a Leyden jar is charged by a hand generator...Ch. 27 - Prob. 15PQCh. 27 - A 6.50-F capacitor is connected to a battery. What...Ch. 27 - A pair of capacitors with capacitances CA = 3.70 F...Ch. 27 - Two 1.5-V batteries are required in a flashlight....Ch. 27 - Two capacitors have capacitances of 6.0 F and 3.0...Ch. 27 - Prob. 20PQCh. 27 - Calculate the equivalent capacitance between...Ch. 27 - Prob. 22PQCh. 27 - Given the arrangement of capacitors in Figure...Ch. 27 - An arrangement of capacitors is shown in Figure...Ch. 27 - Prob. 25PQCh. 27 - Prob. 26PQCh. 27 - Find the equivalent capacitance for the network...Ch. 27 - Prob. 28PQCh. 27 - The capacitances of three capacitors are in the...Ch. 27 - For the four capacitors in the circuit shown in...Ch. 27 - The separation between the 4.40-cm2 plates of an...Ch. 27 - A spherical capacitor is made up of two concentric...Ch. 27 - A Derive an expression for the capacitance of an...Ch. 27 - Prob. 34PQCh. 27 - Prob. 35PQCh. 27 - Prob. 36PQCh. 27 - Prob. 37PQCh. 27 - Prob. 38PQCh. 27 - Review One of the plates of a parallel-plate...Ch. 27 - Prob. 40PQCh. 27 - Prob. 41PQCh. 27 - A 56.90-pF cylindrical capacitor carries a charge...Ch. 27 - Prob. 43PQCh. 27 - Prob. 44PQCh. 27 - Prob. 45PQCh. 27 - Prob. 46PQCh. 27 - The plates of an air-filled parallel-plate...Ch. 27 - Prob. 48PQCh. 27 - Prob. 49PQCh. 27 - Prob. 50PQCh. 27 - Prob. 51PQCh. 27 - Prob. 52PQCh. 27 - Prob. 53PQCh. 27 - A parallel-plate capacitor with an air gap has...Ch. 27 - A parallel-plate capacitor with plates of area A =...Ch. 27 - Prob. 56PQCh. 27 - Prob. 57PQCh. 27 - Prob. 58PQCh. 27 - Prob. 59PQCh. 27 - Prob. 60PQCh. 27 - Find an expression for the electric field between...Ch. 27 - An air-filled parallel-plate capacitor is charged...Ch. 27 - Two Leyden jars are similar in size and shape, but...Ch. 27 - Prob. 64PQCh. 27 - Nerve cells in the human body and in other animals...Ch. 27 - Prob. 66PQCh. 27 - Prob. 67PQCh. 27 - Prob. 68PQCh. 27 - Prob. 69PQCh. 27 - Prob. 70PQCh. 27 - What is the maximum charge that can be stored on...Ch. 27 - Prob. 72PQCh. 27 - In a laboratory, you find a 9.00-V battery and a...Ch. 27 - Prob. 74PQCh. 27 - Figure P27.75 shows four capacitors with CA = 4.00...Ch. 27 - Prob. 76PQCh. 27 - Prob. 77PQCh. 27 - A parallel-plate capacitor with plates of area A...Ch. 27 - Prob. 79PQCh. 27 - Prob. 80PQCh. 27 - A 90.0-V battery is connected to a capacitor with...Ch. 27 - Consider an infinitely long network with identical...Ch. 27 - Prob. 83PQCh. 27 - What is the equivalent capacitance of the five...Ch. 27 - The circuit in Figure P27.85 shows four capacitors...Ch. 27 - Prob. 86PQCh. 27 - A Pairs of parallel wires or coaxial cables are...Ch. 27 - A parallel-plate capacitor has square plates of...
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- (a) What is the average power output of a heart defibrillator that dissipates 400 J of energy in 10.0 ms? (b) Considering the high-power output, why doesn’t the defibrillator produce serious bums?arrow_forwardYou are part of a team working in a machine parts mechanics shop. An important customer has asked your company to provide springs with a very precise force constant k. You dense the electrical circuit shown in Figure P25.45 to measure the spring constant of each of the springs to be provided to the customer. The circuit consists of two identical, parallel metal plates free to move, other than being connected to identical metal springs, a switch, and a battery with terminal voltage V. With the switch open, the plates are uncharged, are separated by a distance d, and have a capacitance C. When the switch is closed, the plates become charged and attract each other. The distance between the plates changes by a factor f, after which the plates are in equilibrium between the spring forces and the attractive electric force between the plates. To keep the plates from going into oscillations, you hold each plate with insulating gloves as the switch is closed and apply a force on the plates that allows them to move together at a slow constant speed until they are at the equilibrium separation, at which point you can release the plates. You determine an expression for the spring constant in terms of C, d, V, and f. Figure P25.45 Problems 45 and 50.arrow_forwardA 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 P25.5, 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 P25.5arrow_forward
- Unreasonable Results An inventor wants to generate 120V power by moving a 1.00mlong wire perpendicular to the Earth’s 5.00105T field. (a) Find the speed with which the wire must move. (b) What is unreasonable about this result? (c) Which assumption is responsible?arrow_forwardIntegrated Concepts (a) What voltage will accelerate electrons to a speed of 6.00107m/s ? (b) Find the radius of curvature of the path of a proton accelerated through this potential in a 0.500-T field and compare this with the radius of curvature of an electron accelerated through the same potential.arrow_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
- Suppose you need to measure the potential difference between the points in Figure P29.4. Assume the voltmeter reading is the potential difference between the two leads: V = Vred Vblack. For each of the following measurements, determine at which point you would connect the red lead and at which point you would connect the black lead: a. Vb Va. b. Vc Vb. c. Vd Vc. d. Va Vd. FIGURE P29.4 Problems 4, 5, and 6.arrow_forwardAs shown in Figure CQ33.6, a person pulls a vacuum cleaner at speed v across a horizontal floor, exerting on it a force of magnitude F directed upward at an angle with the horizontal. (a) At what rate is the person doing work on the cleaner? (b) State as completely as you can the analogy between power in this situation and in an electric circuit.arrow_forwardTwo large, parallel metal plates, each of area A, are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical plate carrying charge Q is inserted between the two plates, parallel to them and located a distance d from the upper plate as shown in Figure P25.36. (a) What induced charge appears on each of the two original plates? (b) What potential difference appears between the middle plate and each of the other plates?arrow_forward
- (a) Why are fish reasonably safe in an electrical storm? (b) Why are swimmers nonetheless ordered to get out of the water in the same circumstance?arrow_forwardThis problem is a continuation of Problem 45. You are part of a team working in a machine parts mechanics shop. An important customer has asked your company to provide springs with a very precise force constant k. You devise the electrical circuit shown in Figure P25.45 to measure the spring constant of each of the springs to be provided to the customer. The circuit consists of two identical, parallel metal plates connected to identical metal springs, a switch, and a battery with emf V. With the switch open, the plates are uncharged, are separated by a distance d, and have a capacitance C. To provide a comparison value for the spring constant that you found in Problem 45, you slide a slab of material with dielectric constant and thickness t between the plates, so that it is in contact with one of the plates as shown in Figure P25.50. When the switch is closed, the plates become charged and attract each other. The distance between the plates changes by a factor f, after which the plates are in equilibrium between the spring forces and the attractive electric force between the plates. To keep the plates from going into oscillations, you hold each plate with insulating gloves as the switch is closed and apply a force on the plates that allows them to move together at a slow constant speed until they are at the equilibrium separation, at which point you can release the plates. Find an expression for the spring constant in terms of C, d, V, k, t, and f. Figure P25.50arrow_forwardWhen a Leyden jar is charged by a hand generator (Fig. 27.1, page 828), the work done by the person turning the crank is stored as electric potential energy in the jar. When a capacitor is charged by a battery, where does the electric potential energy come from?arrow_forward
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