Physics for Scientists and Engineers: Foundations and Connections
15th Edition
ISBN: 9781305289963
Author: Debora M. Katz
Publisher: Cengage Custom Learning
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Textbook Question
Chapter 29, Problem 13PQ
Eight real batteries, each with an emf of 5.00 V and an internal resistance of 0.200 Ω, are connected end to end in a loop as in Figure P29.13. What is the terminal voltage across one of the batteries between points a and b?
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You connect a battery, resistor, and capacitor as in the figure, where R = 16.0 Ω and C = 8.00 ×10−6 F. The switch S is closed at t = 0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0 × 10−6 C.
(a) What is the emf of the battery?
(b) At what time t after the switch is closed is the charge on the capacitor equal to 40.0×10−6 C?
(c) When the current has magnitude 3.00 A, at what rate is energy being stored in the capacitor?
(d) When the current has magnitude 3.00 A, at what rate is energy being supplied by the battery?
You connect a battery, a resistor, and a capacitor as shown in Figure 4, in that e = 36.0 V, C = 5.0 uF and R = 120 Ohms C. The switch S is closed at t = 0. (a) When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? (b) At what time t after the switch is closed the voltage across the capacitor is equal to 8.00 V? (c) When the voltage across the capacitor equals 8.00 V, at what speed is energy being stored in the capacitor?
Translation: "Chave aberta" = switch open
The switch in the circuit below has been in position a for a long time. At time t = 0 the switch is thrown to position b. You are given the data: Vb = 36 V, C = 8 μF. Vc is the voltage across the capacitor. If the charge on the capacitor at time t = 0.3 msec after the switch is thrown is 54.1 μC, what is the value of the resistor R?
a) 89.71 Ω
b) 44.86 Ω
c) 22.43 Ω
d) Not enough information.
Chapter 29 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 29.1 - What are the SI units of ?Ch. 29.1 - Prob. 29.2CECh. 29.2 - Prob. 29.3CECh. 29.4 - Prob. 29.5CECh. 29.4 - Prob. 29.6CECh. 29.5 - Prob. 29.7CECh. 29 - Study the symbols in Table 29.2. Then, without...Ch. 29 - Prob. 2PQCh. 29 - Prob. 3PQCh. 29 - Suppose you need to measure the potential...
Ch. 29 - Prob. 5PQCh. 29 - Prob. 6PQCh. 29 - A real battery (modeled as an ideal emf device in...Ch. 29 - Prob. 8PQCh. 29 - Two circuits made up of identical ideal emf...Ch. 29 - Prob. 10PQCh. 29 - Prob. 11PQCh. 29 - Prob. 12PQCh. 29 - Eight real batteries, each with an emf of 5.00 V...Ch. 29 - Prob. 14PQCh. 29 - Prob. 15PQCh. 29 - Prob. 16PQCh. 29 - Prob. 17PQCh. 29 - Prob. 18PQCh. 29 - Prob. 19PQCh. 29 - An ideal emf device with emf is connected to two...Ch. 29 - Prob. 21PQCh. 29 - Prob. 22PQCh. 29 - Prob. 23PQCh. 29 - Prob. 24PQCh. 29 - Prob. 25PQCh. 29 - Prob. 26PQCh. 29 - Determine the currents through the resistors R2,...Ch. 29 - The emf devices in the circuits shown in Figure...Ch. 29 - Prob. 29PQCh. 29 - Prob. 30PQCh. 29 - Prob. 31PQCh. 29 - Prob. 32PQCh. 29 - Prob. 33PQCh. 29 - Prob. 34PQCh. 29 - A Figure P29.35 shows a combination of six...Ch. 29 - A Each resistor shown in Figure P29.36 has...Ch. 29 - Each resistor shown in Figure P29.36 has a...Ch. 29 - Prob. 38PQCh. 29 - Prob. 39PQCh. 29 - The emf in Figure P29.40 is 4.54 V. The...Ch. 29 - Figure P29.41 shows three resistors (R1 = 14.0 ,...Ch. 29 - Figure P29.42 shows five resistors and two...Ch. 29 - The emfs in Figure P29.43 are 1 = 6.00 V and 2 =...Ch. 29 - Prob. 44PQCh. 29 - Figure P29.45 shows five resistors connected...Ch. 29 - Figure P29.46 shows a circuit with a 12.0-V...Ch. 29 - Two ideal emf devices are connected to a set of...Ch. 29 - Two ideal emf devices are connected to a set of...Ch. 29 - Three resistors with resistances R1 = R/2 and R2 =...Ch. 29 - Prob. 51PQCh. 29 - Prob. 52PQCh. 29 - Prob. 53PQCh. 29 - Prob. 55PQCh. 29 - At time t = 0, an RC circuit consists of a 12.0-V...Ch. 29 - A 210.0- resistor and an initially uncharged...Ch. 29 - Prob. 58PQCh. 29 - A real battery with internal resistance 0.500 and...Ch. 29 - Figure P29.60 shows a simple RC circuit with a...Ch. 29 - Prob. 61PQCh. 29 - Prob. 62PQCh. 29 - Prob. 63PQCh. 29 - Ralph has three resistors, R1, R2, and R3,...Ch. 29 - Prob. 65PQCh. 29 - An ideal emf device is connected to a set of...Ch. 29 - Prob. 67PQCh. 29 - An ideal emf device (24.0 V) is connected to a set...Ch. 29 - Prob. 69PQCh. 29 - What is the equivalent resistance between points a...Ch. 29 - A capacitor with initial charge Q0 is connected...Ch. 29 - Prob. 73PQCh. 29 - Prob. 74PQCh. 29 - Prob. 75PQCh. 29 - Prob. 76PQCh. 29 - Figure P29.77 shows a circuit with two batteries...Ch. 29 - In the RC circuit shown in Figure P29.78, an ideal...Ch. 29 - Prob. 79PQCh. 29 - Calculate the equivalent resistance between points...Ch. 29 - In Figure P29.81, N real batteries, each with an...Ch. 29 - Prob. 82PQCh. 29 - Prob. 83PQCh. 29 - Prob. 84PQCh. 29 - Figure P29.84 shows a circuit that consists of two...Ch. 29 - Prob. 86PQCh. 29 - Prob. 87PQCh. 29 - Prob. 88PQCh. 29 - Prob. 89PQCh. 29 - Prob. 90PQCh. 29 - Prob. 91PQCh. 29 - Prob. 92PQCh. 29 - Prob. 93PQCh. 29 - Prob. 94PQCh. 29 - Prob. 95PQ
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- In Figure P29.81, N real batteries, each with an emf and internal resistance r, are connected in a closed ring. A resistor R can be connected across any two points of this ring, causing there to be n real batteries in one branch and N n resistors in the other branch. Find an expression for the current through the resistor R in this case.arrow_forwardWhat is the equivalent resistance between points a and b of the six resistors shown in Figure P29.70? FIGURE P29.70arrow_forwardFigure P29.77 shows a circuit with two batteries and three resistors. a. How much current flows through the 2.00- resistor? b. What is the potential difference between points a and b in the circuit?arrow_forward
- Two ideal emf devices are connected to a set of resistors as shown in Figure P29.47. Find an expression for the emf 2 in terms of 1, R1, R2, R3, R4, and the current through R4, labeled I1.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_forwardFigure P29.46 shows a circuit with a 12.0-V battery connected to four resistors. How much power is delivered to each resistor?arrow_forward
- A battery with = 6.00 V and no internal resistance supplies current to the circuit shown in Figure P27.9. When the double-throw switch S is open as shown in the figure, the current in the battery is 1.00 mA. When the switch is closed in position a, the current in the battery is 1.20 mA. When the switch is closed in position b, the current in the battery is 2.00 mA. Find the resistances (a) R1, (b) R2, and (c) R3. Figure P27.9 Problems 9 and 10.arrow_forwardAn ideal emf device is connected to a set of resistors as shown in Figure P29.66. Find an expression for the current through the resistor R3 in terms of the emf and the resistances.arrow_forwardAt one instant, a current of 6.0 A flows through part of a circuit as shown in Figure P33.12. Determine the instantaneous potential difference between points A and B if the current starts to decrease at a constant rate of 1.0 102 A/s. FIGURE P33.12arrow_forward
- a. What are the magnitude and direction of the current in the 18 Ω resistor in Figure P23.7?b. Draw a graph of the potential as a function of the distance traveled through the circuit, traveling clockwise from V = 0 V at the lower left corner. See Figure P23.9 for an example of such a graph.arrow_forwardYou connect a battery, resistor, and capacitor as in (Figure 1), where E = 46.0 V, C = 5.00 μF, and R = 130 Ω. The switch S is closed at t = 0. When the voltage across the capacitor is 8.00 VV, what is the magnitude of the current in the circuit? At what time tt after the switch is closed is the voltage across the capacitor 8.00 V? When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor?arrow_forwardIf you have a circuit like the one in the figure with E=51.0V, R1=793.2Ω, R2=781.3Ω, R3=534.9Ω and R4=793.2Ω, determine the current in amps passing through the resistor R1 (Write your answer to 3 significant figures)arrow_forward
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