University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 25, Problem 25.75P
DATA The voltage drop Vab across each of resistors A and B was measured as a function of the current I in the resistor. The results are shown in the table:
(a) For each resistor, graph Vab as a function of I and graph the resistance R = Vab/I as a function of I. (b) Does resistor A obey Ohm’s law? Explain, (c) Does resistor B obey Ohm’s law? Explain, (d) What is the power dissipated in A if it is connected to a 4.00-V battery that has negligible internal resistance? (e) What is the power dissipated in B if it is connected to the battery?
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The voltage drop Vab across each of resistors A and B was measured as a function of the current I in the resistor. The results are shown in the table:
(a) For each resistor, graph Vab as a function of I and graph the resistance R = Vab/I as a function of I.
(b) Does resistor A obey Ohm’s law? Explain.
(c) Does resistor B obey Ohm’s law? Explain.
(d) What is the power dissipated in A if it is connected to a 4.00 V battery that has negligible internal resistance?
(e) What is the power dissipated in B if it is connected to the battery?
Ohm’s law states that the voltage drop V across an ideal resistor is linearly proportional to the current I flowing through the resister as in V = IR, where R is the resistance. However, real resistors may not always obey Ohm’s law. Suppose that you performed some very precise experiments to measure the voltage drop and corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm’s law:
I
-1.5
-0.5
-0.25
0.25
0.5
1.5
V
-982
-166.6
-54
54
166.6
982
Table 2
To quantify this relationship, a curve must be fit to the data. Because of measurement error, regression would typically be the preferred method of curve fitting for analysing such experimental data. However, the smoothness of the relationship, as well as the precision of the experimental methods, suggests that interpolation might be appropriate. By using all the set of values given in table 2, apply Newton Divided…
The circuit in the diagram consists of a battery with EMF E, a resistor with resistance R, an ammeter, and a voltmeter. The voltmeter and the ammeter (labeled V and A, respectively) can be considered ideal; that is, their resistances are infinity and zero, respectively. The current in the resistor is III, and the voltage across it is V. The internal resistance of the battery rintrintr_int is not zero.
Part A: What is the ammeter reading I? Express your answer in terms of E, R, and rint.
Part B: What is the voltmeter reading V? Express your answer in terms of E, R, and rint.
Part C: What is the power PR dissipated in the resistor? Express your answer in terms of I and V.
Part D: Again, what is the power PR dissipated in the resistor? This time, express your answer in terms of one or more of the following variables: I, rint, and R.
Part E: For the third time, what is the power PR dissipated in the resistor? Express your answer in terms of one or more of the following variables: E, rint,…
Chapter 25 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 25.1 - Suppose we replaced the wire in Example 25.1 with...Ch. 25.2 - Prob. 25.2TYUCh. 25.3 - Suppose you increase the voltage across the copper...Ch. 25.4 - Rank the following circuits in order from highest...Ch. 25.5 - Rank the following circuits in order from highest...Ch. 25.6 - Which of the following factors will, if increased,...Ch. 25 - The definition of resistivity ( = E/J) implies...Ch. 25 - A cylindrical rod has resistance R. If we triple...Ch. 25 - A cylindrical rod has resistivity . If we triple...Ch. 25 - Two copper wires with different diameters are...
Ch. 25 - When is a 1.5-V AAA battery not actually a 1.5-V...Ch. 25 - Can the potential difference between the terminals...Ch. 25 - A rule of thumb used to determine the internal...Ch. 25 - Batteries are always labeled with their emf; for...Ch. 25 - We have seen that a coulomb is an enormous amount...Ch. 25 - Electrons in an electric circuit pass through a...Ch. 25 - Temperature coefficients of resistivity are given...Ch. 25 - Which of the graphs in Fig. Q25.12 best...Ch. 25 - Why does an electric light bulb nearly always burn...Ch. 25 - A light bulb glows because it has resistance. The...Ch. 25 - (See Discussion Question Q25.14.) An ideal ammeter...Ch. 25 - (See Discussion Question Q25.14.) Will a light...Ch. 25 - The energy that can be extracted from a storage...Ch. 25 - Eight flashlight batteries in series have an cmf...Ch. 25 - Small aircraft often have 24-V electrical systems...Ch. 25 - Long-distance, electric-power, transmission lines...Ch. 25 - Ordinary household electric lines in North America...Ch. 25 - A fuse is a device designed to break a circuit,...Ch. 25 - High-voltage power supplies are sometimes designed...Ch. 25 - The text states that good thermal conductors are...Ch. 25 - Lightning Strikes. During lightning strikes from a...Ch. 25 - A silver wire 2.6 mm in diameter transfers a...Ch. 25 - A 5.00-A current runs through a 12-gauge copper...Ch. 25 - An 18-gauge copper wire (diameter 1.02 mm) carries...Ch. 25 - Copper has 8.5 1028 free electrons per cubic...Ch. 25 - Prob. 25.6ECh. 25 - CALC The current in a wire varies with time...Ch. 25 - Current passes through a solution of sodium...Ch. 25 - BIO Transmission of Nerve Impulses. Nerve cells...Ch. 25 - (a) At room temperature, what is the strength of...Ch. 25 - A 1.50-m cylindrical rod of diameter 0.500 cm is...Ch. 25 - A copper wire has a square cross section 2.3 mm on...Ch. 25 - Prob. 25.13ECh. 25 - Prob. 25.14ECh. 25 - A cylindrical tungsten filament 15.0 cm long with...Ch. 25 - A ductile metal wire has resistance R. What will...Ch. 25 - Prob. 25.17ECh. 25 - Prob. 25.18ECh. 25 - Prob. 25.19ECh. 25 - Prob. 25.20ECh. 25 - A current-carrying gold wire has diameter 0.84 mm....Ch. 25 - A hollow aluminum cylinder is 2.50 m long and has...Ch. 25 - Prob. 25.23ECh. 25 - A carbon resistor is to be used as a thermometer....Ch. 25 - A copper transmission cable 100 km long and 10.0...Ch. 25 - Consider the circuit shown in Fig. E25.26. The...Ch. 25 - An ideal voltmeter V is connected to a 2.0-11...Ch. 25 - An idealized ammeter is connected to a battery as...Ch. 25 - When switch S in Fig. E25.29 is open, the...Ch. 25 - The circuit shown in Fig. E25.30 contains two...Ch. 25 - In the circuit shown in Fig. E25.30, the 16.0-V...Ch. 25 - In the circuit of Fig. E25.30, the 5.0- resistor...Ch. 25 - The circuit shown in Fig. E25.33 contains two...Ch. 25 - When a resistor with resistance R is connected to...Ch. 25 - Light Bulbs. The power rating of a light bulb...Ch. 25 - If a 75-W" bulb (see Problem 25.35) is connected...Ch. 25 - European Light Bulb. In Europe the standard...Ch. 25 - A battery-powered global positioning system (GPS)...Ch. 25 - Consider the circuit of Fig. E25.30. (a) What is...Ch. 25 - BIO Electric Eels. Electric eels generate electric...Ch. 25 - BIO Treatment of Heart Failure. A heart...Ch. 25 - The battery for a certain cell phone is rated at...Ch. 25 - Prob. 25.43ECh. 25 - An idealized voltmeter is connected across the...Ch. 25 - A 25.0- bulb is connected across the terminals of...Ch. 25 - A typical small flashlight contains two batteries,...Ch. 25 - In the circuit in Fig. E25.47, find (a) the rate...Ch. 25 - A 540-W electric heater is designed to operate...Ch. 25 - Prob. 25.49ECh. 25 - In an ionic solution, a current consists of Ca2+...Ch. 25 - An electrical conductor designed to carry large...Ch. 25 - An overhead transmission cable for electrical...Ch. 25 - On your first day at work as an electrical...Ch. 25 - A 2.0-m length of wire is made by welding the end...Ch. 25 - A 3.00-m length of copper wire at 20 C has a...Ch. 25 - A heating clement made of tungsten wire is...Ch. 25 - CP BIO Struck by Lightning. Lightning strikes can...Ch. 25 - A resistor with resistance R is connected to a...Ch. 25 - CALC A material of resistivity is formed into a...Ch. 25 - CALC The region between two concentric conducting...Ch. 25 - The potential difference across the terminals of a...Ch. 25 - (a) What is the potential difference Vad in the...Ch. 25 - BIO The average bulk resistivity of the human body...Ch. 25 - BIO A person with body resistance between his...Ch. 25 - A typical cost for electrical power is 0,120 per...Ch. 25 - In the circuit shown in Fig. P25.66, R is a...Ch. 25 - A Nonideal Ammeter. Unlike the idealized ammeter...Ch. 25 - A cylindrical copper cable 1.50 km long is...Ch. 25 - CALC A 1.50-m cylinder of radius 1.10 cm is made...Ch. 25 - Compact Fluorescent Bulbs. Compact fluorescent...Ch. 25 - Prob. 25.71PCh. 25 - CP Consider the circuit shown in Fig. P25.72. The...Ch. 25 - CP Consider the circuit shown in Fig. P25.73. The...Ch. 25 - DATA An external resistor R is connected between...Ch. 25 - DATA The voltage drop Vab across each of resistors...Ch. 25 - DATA According to the U.S. National Electrical...Ch. 25 - Prob. 25.77CPCh. 25 - An external resistor with resistance R is...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...
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