Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 29, Problem 29PQ
(a)
To determine
Find the expression of current through resistors in given circuit.
(b)
To determine
Find the expression of current through resistors in given circuit.
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In the following figure(Figure 1), the battery has negligible internal resistance and E EMF= 45.0 V. R1= R2= 3.10 Ω and R4= 4.00 Ω.
Part A What must the resistance R3 be for the resistor network to dissipate electrical energy at a rate of 283 W?
Part A
An emf source with a magnitude of E = 120.0 V, a
resistor with a resistance ofR = 71.0 N, and a
capacitor with a capacitance of C = 2.30 µF are
As the capacitor charges, when the current in the resistor is 0.750 A, what is the magnitude of
the charge on each plate of the capacitor?
connected in series.
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Charging a capacitor.
Express your answer in coulombs.
Q =
C
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A circuit consisting of 5 resistors is shown in the graph. Their resistances are R1 = 16 Ω, R2 = 35 Ω, R3 = 93 Ω, R4 = 36 Ω, and R5 = 32 Ω, and the emf of the battery is ε = 3.5 V. Suppose the internal resistance of the battery is zero.
a. Express the current I through R1 in terms of the emf ε and the equivalent resistance R.
b. Express the power P dissipated by R1 through I and R1.
c. Calculate the numerical value of I in A.
d. Calculate the numerical value of the power P in W.
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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- Two circuits made up of identical ideal emf devices ( = 1.67 V) and resistors (R = 35.9 ) are shown in Figure P29.8. What is the potential difference Vb Va a. for circuit 1 and b. for circuit 2? What is the current in the resistor c. in circuit 1 and d. in circuit 2?arrow_forwardThe emf in Figure P29.40 is 4.54 V. The resistances are R1=13.0, R2=26.0, and R3=39.0 Find a. the current in each resistor, b. the power consumed by each resistor, and c. the power supplied by the emf device.arrow_forwardFigure P29.41 shows three resistors (R1 = 14.0 , R2 = 8.00 , and R3 = 10.0 ) and two batteries connected in a circuit. a. What is the current in each of the resistors? b. How much power is delivered to each of the resistors?arrow_forward
- Three resistors with resistances R1 = R/2 and R2 = R3 = R are connected as shown, and a potential difference of 225 V is applied across terminals a and b (Fig. P29.49). a. If the resistor R1 dissipates 75.0 W of power, what is the value of R? b. What is the total power supplied to the circuit by the emf? c. What is the potential difference across each of the three resistors?arrow_forwardDetermine the currents through the resistors R2, R5, R6, and R7 in the set of junctions and branches shown in Figure P29.27. Hint: Use Kirchhoffs junction rule, be sure to consider the branches where a current is shown, and assume the branches that appear disconnected are connected to other parts of the circuit. FIGURE P29.27arrow_forwardAn ideal emf device (24.0 V) is connected to a set of resistors as shown in Figure P29.66. If R1 = 22.5 , R2 = 52.5 , R3 = 125 , and R4 = 75.0 , what is the voltage drop across each resistor?arrow_forward
- A real battery with internal resistance 0.500 and emf 9.00 V is used to charge a 50.0-F capacitor. A 10.0- resistor is put in series with the battery and the capacitor when charging. a. What is the time constant for this circuit? b. What is the time when the capacitor has reached half its maximum charge? c. What is the current through the capacitor at this time?arrow_forwardA copper and a gold wire are supposed to have the same resistance. The copper wire has a radius of 2.50 mm, and the gold wire has a radius of 3.25 mm. If the copper wire is 1.20 m long, what must be the length of the gold wire?arrow_forward(a) During surgery, a current as small as 20.0 ? applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 , what is the smallest voltage that poses this danger? (b) Does your answer imply that special electrical safety precautions are needed?arrow_forward
- Gold bricks are formed with the dimensions 7358134 inches. What is the maximum resistance of a gold brick? What is the minimum resistance? Include sketches to explain how each of these resistances is achieved.arrow_forwardAt time t = 0, an RC circuit consists of a 12.0-V emf device, a 60.0- resistor, and a 150.0-F capacitor that is fully charged. The switch is thrown so that the capacitor begins to discharge. a. What is the time constant t of this circuit? b. How much charge is stored by the capacitor at t = 0.5, 2, and 4?arrow_forwardA2.2 kN and a 4.0 kl resistor are connected in parallel; this combination is connected in series with a 1.3 kN resistor. Part A If each resistor is rated at 0.2 W (maximum without overheating), what is the maximum voltage that can be applied across the whole network? Express your answer using two significant figures. ? Vmax = Varrow_forward
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