College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 19, Problem 12P
To determine
The new resistance of wire in terms of
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A ductile metal wire has resistance R. What will be the resistance of this wire in terms of R if it is stretched to three times its original length, assuming that the density and resistivity of the material do not change when the wire is stretched? (Hint: The amount of metal does not change, so stretching out the wire will affect its cross-sectional area.)
Resistance depends on the size and shape of a conductor. We expect a long wire to have higher resistance than a short one (everything else being the same) and a thicker wire to have a lower resistance than a thin one. Resistance also depends on the intrinsic property of the conductor called the resistivity. If the resistivity of a particular wire is 75.56x10-8 Ω⋅m, the wire is 48.16mm in length, and the radius of the diameter of the wire is 1.87m, what is the resistance of the wire in units of Ohms (Ω
)?
Note: It is understood that the unit of your answer is in Ohms (Ω
), however do not explicitly include units in your answer. Enter only a number.
Resistance depends on the size and shape of a conductor. We expect a long wire to have higher resistance than a short one (everything else being the same) and a thicker wire to have a lower resistance than a thin one. Resistance also depends on the intrinsic property of the conductor called the resistivity. If the resistivity of a particular wire is 70.26x10-8 Ω ⋅ m, the wire is 44.47mm in length, and the radius of the diameter of the wire is 1.95m, what is the resistance of the wire in units of Ohms (Ω)?
Chapter 19 Solutions
College Physics (10th Edition)
Ch. 19 - You create a circuit with three resistors and a...Ch. 19 - The energy that can be extracted from a storage...Ch. 19 - A cylindrical rod has resistivity p. If we triple...Ch. 19 - True or false? (a) Adding more resistance to a...Ch. 19 - Why does the resistance of an object increase with...Ch. 19 - How does a capacitor store energy? Can a resistor...Ch. 19 - High-voltage power supplies are sometimes designed...Ch. 19 - If you charge a capacitor through an R-C circuit,...Ch. 19 - Can all combinations of resistors be reduced to...Ch. 19 - In a two-cell flashlight, the batteries are...
Ch. 19 - You connect a number of identical light bulbs to a...Ch. 19 - When you scuff your shoes across a nylon carpet,...Ch. 19 - A cylindrical metal rod has a resistance R. If...Ch. 19 - A resistor R and another resistor 2R are connected...Ch. 19 - Which statements about the circuit shown in Figure...Ch. 19 - When the switch in Figure 19.40 is closed, the...Ch. 19 - Three identical light bulbs are connected in the...Ch. 19 - You connect three resistors with resistances R,...Ch. 19 - In the circuit shown in Figure 19.42, resistor A...Ch. 19 - In which of the two circuits shown in Figure 19.43...Ch. 19 - The battery shown in the circuit in Figure 19.44...Ch. 19 - A battery with no internal resistance is connected...Ch. 19 - The battery shown in the circuit in Figure 19.46...Ch. 19 - Three identical light bulbs. A, B, and C, are...Ch. 19 - A 5.0 A current flows through the leads of an...Ch. 19 - Lightning strikes. During lightning strikes from a...Ch. 19 - Transmission of nerve impulses. Nerve cells...Ch. 19 - In an ionic solution, a current consists of Ca2+...Ch. 19 - A 14 gauge copper wire of diameter 1.628 mm...Ch. 19 - You want to precut a set of 1.00 strips of 14...Ch. 19 - Prob. 7PCh. 19 - A tightly coiled spring having 75 coils, each 3.50...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - A steel wire of length L and radius r1 has a...Ch. 19 - Prob. 12PCh. 19 - Prob. 13PCh. 19 - A 1.50 m cylindrical rod of diameter 0.500 cm is...Ch. 19 - Prob. 15PCh. 19 - In a laboratory experiment, you vary the current...Ch. 19 - The following measurements of current and...Ch. 19 - Prob. 18PCh. 19 - Current in the body. The resistance of the body...Ch. 19 - A copper transmission cable 100 km long and 10.0...Ch. 19 - Prob. 21PCh. 19 - A steel wire, of length L and diameter D, has a...Ch. 19 - A 6.00 V lantern battery is connected to a 10.5 ...Ch. 19 - When the switch in Figure 19.49 is open, the...Ch. 19 - A non-ideal 10.0 V battery is connected across a...Ch. 19 - Prob. 26PCh. 19 - An automobile starter motor is connected to a 12.0...Ch. 19 - Consider the circuit shown in Figure 19.50. The...Ch. 19 - Prob. 29PCh. 19 - Power rating of a resistor. The power rating of a...Ch. 19 - An idealized voltmeter is connected across the...Ch. 19 - Treatment of heart failure. A heart defibrillator...Ch. 19 - Light bulbs. The wattage rating of a light bulb is...Ch. 19 - Electrical safety. This procedure is not...Ch. 19 - Electric eels. Electric eels generate electric...Ch. 19 - A 500 and a 200 resistor are connected in series...Ch. 19 - The battery for a certain cell phone is rated at...Ch. 19 - For the circuit in Figure 19.51, find (a) the rate...Ch. 19 - A 240 W electric heater is designed to operate...Ch. 19 - Find the equivalent resistance of each combination...Ch. 19 - Calculate the (a) maximum and (b) minimum values...Ch. 19 - Each of two identical uniform metal bars has a...Ch. 19 - A 40.0 resistor and a 90.0 resistor are...Ch. 19 - Three resistors having resistances of 1.60 , 2.40...Ch. 19 - Now the three resistors of the previous problem...Ch. 19 - Compote the equivalent resistance of the network...Ch. 19 - Compute me equivalent resistance of me network in...Ch. 19 - Light bulbs in aeries. I he power rating or o...Ch. 19 - Prob. 49PCh. 19 - The batteries shown in the circuit in Figure 19.50...Ch. 19 - Find the emfs 1 and 2 in the circuit shown in...Ch. 19 - For the circuit shown in Figure 19.58, calculate...Ch. 19 - In the circuit shown in Figure 19.59, find (a) the...Ch. 19 - In the circuit shown in Figure 19.60, current...Ch. 19 - In the circuit shown in Figure 19.61, the 6.0 ...Ch. 19 - A 500.0 resistor is connected in series with a...Ch. 19 - A fully charged 6.0 F capacitor is connected in...Ch. 19 - A 12.4 F capacitor is connected through a 0.895 M...Ch. 19 - A 6.00 F capacitor that is initially uncharged is...Ch. 19 - A capacitor is charged to a potential of 12.0 V...Ch. 19 - A 1.0 F capacitor is being charged by a 9.0 V...Ch. 19 - In the circuit shown in Figure 19.62. the...Ch. 19 - Charging and discharging a capacitor. A 1.50 F...Ch. 19 - Graphing the charge on a capacitor as a function...Ch. 19 - The circuit shown in Figure 19.63 contains two...Ch. 19 - If an ohmmeter is connected between points a and b...Ch. 19 - A refrigerator draws 3.5 A of current while...Ch. 19 - A toaster using a NichromeTM heating element...Ch. 19 - A piece of wire has a resistance R. It is cut into...Ch. 19 - Flashlight batteries. A typical small flashlight...Ch. 19 - In the circuit of Figure 19.65. find (a) the...Ch. 19 - Struck by lightning. Lightning strikes can involve...Ch. 19 - Each of the three resistors m Figure 19.66 has a...Ch. 19 - Energy use of homo appliances. An 1800 W toaster,...Ch. 19 - Two identical 1.00 wires are lad side by side aid...Ch. 19 - Three identical resistors are connected in series....Ch. 19 - (a) Calculate the equivalent resistance of the...Ch. 19 - A power plant transmits 150 kW of power to a...Ch. 19 - What must the emf in Figure 19.69e be in order...Ch. 19 - For the circuit shown in Figuro 19.70. if a...Ch. 19 - A 4600 resistor is connected across a charged...Ch. 19 - A capacitor that is initially uncharged is...Ch. 19 - In the circuit shown in Figure 10.71. R it a...Ch. 19 - Spiderweb conductivity. Some types of spiders...Ch. 19 - If the conductivity of the thread results from the...Ch. 19 - Prob. 86PPCh. 19 - In another experiment, a piece of the web is...Ch. 19 - Nerve cells and R - C circuits. The portion of a...Ch. 19 - In a simple model of an axon conducting a nerve...Ch. 19 - Nerve cells and R-C circuits. The portion of a...
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