College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 22, Problem 10CQ
To determine
To explain: The effect of changes in the temperature, resistivity, and dimensions of the metal wire on the resistance of the wire.
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Discussion:
Ohm's Law describes the relationship between the resistance (R) of a wire, the voltage drop across it (V), and current
through it (1):
V = RI
(1)
Applying a known current to a wire and measuring the voltage across it will let you determine the resistance of the
wire by solving equation 1:
(2)
The resistance of a particular element depends on its geometry, the resistivity and the temperature. Resistivity is the
tendency of the material to behave as a resistor and is an inherent property of a material, in the same sense that density or
thermal expansion are inherent properties. Materials with lower resistivity, like copper, are good conductors of electricity
and widely used in cireuit components while those with larger resistivity, like rubber, are used as insulators.
For a wire with length (L), cross-sectional area (A), and made from a material with resistivrity (p) the resistance (R)
will be given by the following equation:
R= ,L
(3)
In case that the geometry (length and…
A carbon resistor has a resistance of 18 Ohm at a temperature of 20degree C. What is its resistance at a temperature of 120 degree C? The temperature coefficient of resistivity for carbon is -5.0 x 10^-4/C degree.
18 Ohm 17 Ohm 16 Ohm 15 Ohm
Two metallic wires made from copper have same length but the radius of wire 1 is half of that of wire 2. The resistance of wire 1 is R. If both the wires are joined together in series, the total resistance becomes:
A) 2R
B) R/2
C) 5R/4
D) 3R/4
Chapter 22 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 22 - What causes electrons to move through a wire as a...Ch. 22 - All wires in Figure Q22.519 are made of the same...Ch. 22 - A wire carries a 4 A current. What is the current...Ch. 22 - Prob. 7CQCh. 22 - Cells in the nervous system have a potential...Ch. 22 - a. Which directionclockwise or...Ch. 22 - Prob. 10CQCh. 22 - The wires in Figure Q22.11 are all made of the...Ch. 22 - The two circuits in Figure Q22.12 use identical...Ch. 22 - The two circuits in Figure Q22.13 use identical...
Ch. 22 - Rank in order, from largest to smallest, the...Ch. 22 - The circuit in Figure Q22.16 has three batteries...Ch. 22 - When lightning strikes the ground, it generates a...Ch. 22 - One way to find out if a wire has corroded is to...Ch. 22 - Over time, atoms boil off the hot filament in an...Ch. 22 - Rank in order, from largest to smallest, the...Ch. 22 - A 100 W lightbulb is brighter than a 60 W...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - Lightbulbs are typically rated by their power...Ch. 22 - A copper wire is stretched so that its length...Ch. 22 - The potential difference across a length of wire...Ch. 22 - A stereo amplifier creates a 5.0 V potential...Ch. 22 - A resistor connected to a 3.0 V battery dissipates...Ch. 22 - If a 1.5 V battery stores 5.0 kJ of energy (a...Ch. 22 - Figure Q22.29 shows a side view of a wire of...Ch. 22 - A person gains weight by adding fatand therefore...Ch. 22 - The current in an electric hair dryer is 10 A. How...Ch. 22 - 2.0 1013 electrons flow through a transistor in...Ch. 22 - Three wires meet at a junction. Wire 1 has a...Ch. 22 - When a nerve cell depolarizes, charge is...Ch. 22 - A wire carries a 15 A current. How many electrons...Ch. 22 - In a typical lightning strike, 2.5 C flows from...Ch. 22 - A capacitor is charged to 6.0 104 C, then...Ch. 22 - In an ionic solution, 5.0 1015 positive ions with...Ch. 22 - The starter motor of a car engine draws a current...Ch. 22 - A car battery is rated at 90 A h, meaning that it...Ch. 22 - What are the values of currents IB and IC in...Ch. 22 - The currents through several segments of a wire...Ch. 22 - How much electric potential energy does 1.0 C of...Ch. 22 - What is the emf of a battery that increases the...Ch. 22 - A 9.0 V battery supplies a 2.5 mA current to a...Ch. 22 - An individual hydrogen-oxygen fuel cell has an...Ch. 22 - An electric catfish can generate a significant...Ch. 22 - A Wire with resistance R is connected to the...Ch. 22 - Wires 1 and 2 are made of the same metal. Wire 2...Ch. 22 - Prob. 20PCh. 22 - Resistivity measurements on the leaves of corn...Ch. 22 - What is the resistance of a. A 1.0-m-long copper...Ch. 22 - A motorcyclist is making an electric vest that,...Ch. 22 - Prob. 24PCh. 22 - A 3.0 V potential difference is applied between...Ch. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - The aluminum wire in a high-voltage transmission...Ch. 22 - Figure P22.29 shows the...Ch. 22 - Figure P22.30 is a...Ch. 22 - In Example 22.6 the length of a 60 W, 240 ...Ch. 22 - The electric field inside a 30-cm-long copper wire...Ch. 22 - A copper wire is 1.0 mm in diameter and carries a...Ch. 22 - Two identical lightbulbs are connected in series...Ch. 22 - A 1.5 V battery moves 2000 C of charge around a...Ch. 22 - a. What is the resistance of a 1500 W (120 V) hair...Ch. 22 - Every second, a battery increases the electric...Ch. 22 - A 70 W electric blanket runs at 18 V. a. What is...Ch. 22 - A 60-cm-long heating wire is connected to a 120 V...Ch. 22 - An electric eel develops a potential difference of...Ch. 22 - The total charge a household battery can supply is...Ch. 22 - A 3.0 V battery powers a flashlight bulb that has...Ch. 22 - A heating element in a toaster dissipates 900 W...Ch. 22 - Older freezers developed a coating of ice inside...Ch. 22 - The hot dog cooker described in the chapter heats...Ch. 22 - Air isnt a perfect electric insulator, but it has...Ch. 22 - The biochemistry that takes place inside cells...Ch. 22 - High-resolution measurements have shown that an...Ch. 22 - When an ion channel opens in a cell wall (see...Ch. 22 - The total charge a battery can supply is rated in...Ch. 22 - A 1.5 V D-cell battery is rated at 15,000 mA h...Ch. 22 - The heating element of a simple heater consists of...Ch. 22 - Variations in the resistivity of blood can give...Ch. 22 - A 40 W (120 V) lightbulb has a tungsten filament...Ch. 22 - Wires arent really ideal. The voltage drop across...Ch. 22 - When the starter motor on a car is engaged, there...Ch. 22 - The electron beam inside a television picture tube...Ch. 22 - The two segments of the wire in Figure P22.59 have...Ch. 22 - A long wire used as a heating element carries a...Ch. 22 - Prob. 61GPCh. 22 - Prob. 62GPCh. 22 - Prob. 63GPCh. 22 - If resistors 1 and 2 are connected to identical...Ch. 22 - An immersion heater used to boil water for a...Ch. 22 - The graph in Figure P22.66 shows the current...Ch. 22 - Its possible to estimate the percentage of fat in...Ch. 22 - If you touch the two terminals of a power supply...Ch. 22 - The average resistivity of the human body (apart...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...Ch. 22 - MCAT-Style Passage Problems Lightbulb Failure...
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- Power P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?arrow_forwardWhen a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.arrow_forwardReview. Ail aluminum rod has a resistance of 1.23 at 20.0C. Calculate the resistance of the rod at 120C by accounting for the changes in both the resistivity and the dimensions of the rod. The coefficient of linear expansion for aluminum is 2.40 10-6 (C)-1arrow_forward
- Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.arrow_forwardWhen resistors with different resistances are connected in series, which of the following must be the same for each resistor? Choose all correct answers. (a) potential difference (b) current (c) power delivered (d) charge entering each resistor in a given time interval (e) none of those answersarrow_forwardReview. When a straight wire is warmed, its resistance is given by R = R0,[1 + a(T T0)] according to Equation 27.20, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the change in dimensions of the wire due to thermal expansion. For a copper wire of radius 0.100 0 mm and length 2.000 m, find its resistance at 100.0C, including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.arrow_forward
- The terminals of a battery are connected across two resistors in parallel. The resistances of the resistors are not the same. Which of the following statements is correct? Choose all that are correct. (a) The resistor with the larger resistance carries more current than the other resistor. (b) The resistor with the larger resistance carries less current than the other resistor. (c) The potential difference across each resistor is the same. (d) The potential difference across the larger resistor is greater than the potential difference across the smaller resistor. (e) The potential difference is greater across the resistor closer to the battery.arrow_forwardA child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?arrow_forwardWhen resistors with different resistances are connected in parallel, which of the following must be the same for each resistor? Choose all correct answers, (a) potential difference (b) current (c) power delivered (d) charge entering each resistor in a given time interval (e) none of those answersarrow_forward
- Use the atomic theory of matter to explain why the resistance of a material should increase as its temperature increases.arrow_forwardFigure P18.19 shows a Wheatstone bridge, a circuit used to precisely measure an unknown resistance R by varying Rvar until the ammeter reads zero current and the bridge is said to be balanced. If the bridge is balanced with Rvar = 9.00 , find (a) the value of the unknown resistance Rand (b) the current in the 1.00 resistor. (Hint: With the bridge balanced, the wire through the ammeter can effectively be removed from the circuit, leaving two pairs of resistors in parallel.) Figure Pl8.19arrow_forwardElectric current I enters a node with three resistors connected in parallel (Fig. CQ18.5). Which one of the following is correct? (a) I1 = I and I2 = I3 = 0. (b) I2 I1 and I2 I3. (c) V1 V2 V3 (d) I1 I2 I3 0. Figure CQ18.5arrow_forward
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