Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
4th Edition
ISBN: 9780134110646
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 28, Problem 35EAP
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A 2.1-µF capacitor is charged to 12 V and then discharged through a 4.9×106 Ω resistor. How long (in seconds) will it take for the voltage across the capacitor to drop to 3.7 V?
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Chapter 28 Solutions
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
Ch. 28 - Rank in order, from largest to smallest, the...Ch. 28 - The tip of a flashlight bulb is touching the top...Ch. 28 - The wire is broken on the right side of the...Ch. 28 - The circuit of FIGURE Q28.4 has two resistors,...Ch. 28 - The circuit of FIGURE Q28.5 has two resistors,...Ch. 28 - Rank in order, from largest to smallest, the...Ch. 28 - Are the two resistors in FIGURE Q28.7 in series or...Ch. 28 - A battery with internal resistance r is connected...Ch. 28 - Initially bulbs A and B in FIGURE Q28.9 are...Ch. 28 - Bulbs A. B, and C in FIGURE Q28.1O axe identical,...
Ch. 28 - Bulbs A and B in FIGURE Q28.11 are identical, and...Ch. 28 - Prob. 12CQCh. 28 - FIGURE Q28.13 shows the voltage as a function of...Ch. 28 - Prob. 1EAPCh. 28 - Draw a circuit diagram for the circuit of FIGURE...Ch. 28 - Prob. 3EAPCh. 28 - Prob. 4EAPCh. 28 - a. What are the magnitude and direction of the...Ch. 28 - What is the magnitude of the potential difference...Ch. 28 - Prob. 7EAPCh. 28 - Prob. 8EAPCh. 28 - A 60 W lightbulb and a 100 W lightbulb are placed...Ch. 28 - Prob. 10EAPCh. 28 - The five identical bulbs in FIGURE EX2B.11 are all...Ch. 28 - Prob. 12EAPCh. 28 - Prob. 13EAPCh. 28 - A typical American family uses kWh of electricity...Ch. 28 - A waterbed heater uses 450 W of power. It is on 25...Ch. 28 - Prob. 16EAPCh. 28 - Prob. 17EAPCh. 28 - Prob. 18EAPCh. 28 - 19. The voltage across the terminals of a V...Ch. 28 - Prob. 20EAPCh. 28 - Prob. 21EAPCh. 28 - 22. Two of the three resistors in FIGURE EX28.22...Ch. 28 - What is the value of resistor R in FIGURE EX28.23?Ch. 28 - Prob. 24EAPCh. 28 - What is the equivalent resistance between points a...Ch. 28 - What is the equivalent resistance between points a...Ch. 28 - Prob. 27EAPCh. 28 - Prob. 28EAPCh. 28 - Prob. 29EAPCh. 28 - Prob. 30EAPCh. 28 - Prob. 31EAPCh. 28 - Prob. 32EAPCh. 28 - Prob. 33EAPCh. 28 - What is the time constant for the discharge of the...Ch. 28 - A 10F capacitor initially charged to 20C is...Ch. 28 - Prob. 36EAPCh. 28 - Prob. 37EAPCh. 28 - A capacitor is discharged through a resistor. The...Ch. 28 - Prob. 39EAPCh. 28 - 40. A refrigerator has a 1000 W compressor, but...Ch. 28 - Prob. 41EAPCh. 28 - An electric eel develops a potential difference...Ch. 28 - You have a resistor, a resistor, a resistor, and a...Ch. 28 - A 2.0 -m-long, 1.0 -mm-diameter wire has a...Ch. 28 - What is the equivalent resistance between points a...Ch. 28 - What are the emf and internal resistance of the...Ch. 28 - A string of holiday lights can be wired in series,...Ch. 28 - The circuit shown in FIGURE P28.48 is inside a 15...Ch. 28 - Suppose you have resistors 2.5,3.5, and 4.5 and a...Ch. 28 - A lightbulb is in series with a resistor. The...Ch. 28 - Prob. 51EAPCh. 28 - Prob. 52EAPCh. 28 - Prob. 53EAPCh. 28 - Prob. 54EAPCh. 28 - What are the battery current Ibatand the potential...Ch. 28 - A battery is a voltage source, always providing...Ch. 28 - A circuit you’re building needs an ammeter that...Ch. 28 - For the circuit shown in FIGURE P28.58, find the...Ch. 28 - For the circuit shown in FIGURE P28.59, find the...Ch. 28 - For the circuit shown in FIGURE P28.60, find the...Ch. 28 - What is the current through the 20 resistor in...Ch. 28 - For the circuit shown in FIGURE P28.62, find the...Ch. 28 - What is the current through the 10 resistor in...Ch. 28 - For what emf does the 200 resistor in FIGURE...Ch. 28 - Prob. 65EAPCh. 28 - Prob. 66EAPCh. 28 - Prob. 67EAPCh. 28 - II A circuit you're using discharges a 20F...Ch. 28 - A 150F defibrillator capacitor is charged to 1500V...Ch. 28 - Prob. 70EAPCh. 28 - A 0.25F capacitor is charged to 50 V. It is then...Ch. 28 - Prob. 72EAPCh. 28 - Prob. 73EAPCh. 28 - The capacitors in FIGURE P28.74 are charged and...Ch. 28 - Prob. 75EAPCh. 28 - Prob. 76EAPCh. 28 - Prob. 77EAPCh. 28 - Prob. 78EAPCh. 28 - Prob. 79EAPCh. 28 - Prob. 80EAPCh. 28 - Prob. 81EAPCh. 28 - Prob. 82EAP
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- A charge Q is placed on a capacitor of capacitance C. The capacitor is connected into the circuit shown in Figure P26.37, with an open switch, a resistor, and an initially uncharged capacitor of capacitance 3C. The switch is then closed, and the circuit comes to equilibrium. In terms of Q and C, find (a) the final potential difference between the plates of each capacitor, (b) the charge on each capacitor, and (c) the final energy stored in each capacitor. (d) Find the internal energy appearing in the resistor. Figure P26.37arrow_forwardConsider the circuit shown in Figure P26.24, 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 Calculate (a) the initial charge acquired by C, and (b) the final charge on each capacitor.arrow_forwardA battery is used to charge a capacitor through a resistor as shown in Figure P27.44. Show that half the energy supplied by the battery appears as internal energy in the resistor and half is stored in the capacitor. Figure P27.44arrow_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_forwardA capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.arrow_forwardThe circuit in Figure P21.59 has been connected for a long time. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?arrow_forward
- Assume 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(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_forwardThe circuit shown in Figure P28.78 is set up in the laboratory to measure an unknown capacitance C in series with a resistance R = 10.0 M powered by a battery whose emf is 6.19 V. The data given in the table are the measured voltages across the capacitor as a function of lime, where t = 0 represents the instant at which the switch is thrown to position b. (a) Construct a graph of In (/v) versus I and perform a linear least-squares fit to the data, (b) From the slope of your graph, obtain a value for the time constant of the circuit and a value for the capacitance. v(V) t(s) In (/v) 6.19 0 5.56 4.87 4.93 11.1 4.34 19.4 3.72 30.8 3.09 46.6 2.47 67.3 1.83 102.2arrow_forward
- The temperature near the center of the Sun is thought to be 15 million degrees Celsius ( 1.5107oC ) (or kelvin). Through what voltage must a singly charged ion be accelerated to have the same energy as the average kinetic energy of ions at this temperature?arrow_forwardA pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What is the equivalent capacitance of the pair of capacitors if they are connected a. in parallel and b. in series?arrow_forwardThe circuit in Figure P27.85 shows four capacitors connected to a battery. The switch S is initially open, and all capacitors have reached their final charge. The capacitances are C1 = 6.00 F, C2 = 12.00 F, C3 = 8.00 F, and C4 = 4.00 F. a. Find the potential difference across each capacitor and the charge stored in each. b. The switch is now closed. What is the new final potential difference across each capacitor and the new charge stored in each? Figure P27.85arrow_forward
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