College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 17, Problem 27P
To determine
The resistance of gold wire at
20 °C
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An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At 20°C, the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and its density is 2,700 kg/m3.
How long (in m) is the wire?
What is the diameter (in mm) of the wire?
A copper wire of length 2.5 m and cross-sectional area 2.4 x 10-7 m2 has a resistivity of 1.7 x 10-8 Ω m. What is the resistance of the wire?
A gold wire has a length of 23.0 m and a resistance of 4.70 Ω at 20.0°C. Assuming a circular cross-section, what is the wire's diameter (in mm)? The resistivity of gold at 20.0°C is 2.44 ✕ 10−8 Ω · m
Chapter 17 Solutions
College Physics
Ch. 17.1 - Consider positive and negative charges all moving...Ch. 17.2 - Suppose a current-carrying wire has a...Ch. 17.3 - Look at the four circuits shown in Figure 17.6 and...Ch. 17.4 - Prob. 17.4QQCh. 17.4 - All electric devices are required to have...Ch. 17.4 - Suppose an electrical wire is replaced with one...Ch. 17.6 - Prob. 17.7QQCh. 17.6 - For the two resistors shown in Figure 17.12, rank...Ch. 17.6 - Two resistors, A and B, are connected in a series...Ch. 17.6 - The diameter of wire A is greater than the...
Ch. 17 - We have seen that an electric field must exist...Ch. 17 - A 12-V battery is connected across a device with...Ch. 17 - Prob. 3CQCh. 17 - In an analogy between traffic flow and electrical...Ch. 17 - Two copper wires A and B have the same length and...Ch. 17 - Two lightbulbs are each connected to a voltage of...Ch. 17 - Newspaper articles often have statements such as...Ch. 17 - There is an old admonition given to experimenters...Ch. 17 - What could happen to the drift velocity of the...Ch. 17 - Power P0 = I0 V0 is delivered to a resistor of...Ch. 17 - When is more power delivered to a lightbulb,...Ch. 17 - Prob. 1PCh. 17 - A copper wire has a circular cross section with a...Ch. 17 - In the Bohr model of the hydrogen atom, an...Ch. 17 - A typical lightning bolt may last for 0.200 s and...Ch. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - A 2.0 102-km-long high-voltage transmission line...Ch. 17 - An aluminum wire having a cross-sectional area of...Ch. 17 - An iron wire has a cross-sectional area of 5.00 ...Ch. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Germanium is a semiconducting metal with a...Ch. 17 - Prob. 13PCh. 17 - Prob. 14PCh. 17 - Nichrome wire of cross-sectional radius 0.791 mm...Ch. 17 - Prob. 16PCh. 17 - A potential difference of 12 V is found to produce...Ch. 17 - The current supplied by a battery in a portable...Ch. 17 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - The human body can exhibit a wide range of...Ch. 17 - Starting from Ohms law, show that E = J, where E...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - Prob. 27PCh. 17 - At what temperature will aluminum have a...Ch. 17 - At 20.0C, the carbon resistor in an electric...Ch. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - An engineer needs a resistor with a zero overall...Ch. 17 - In one form of plethysmograph (a device for...Ch. 17 - Prob. 34PCh. 17 - A 5.00-V power supply provides a maximum current...Ch. 17 - If electrical energy costs 0.12 per kilowatt-hour,...Ch. 17 - Residential building codes typically require the...Ch. 17 - A portable coffee heater supplies a potential...Ch. 17 - The heating element of a coffeemaker operates at...Ch. 17 - A typical cell phone consumes an average of about...Ch. 17 - Lightbulb A is marked 25.0 W 120. V, and lightbulb...Ch. 17 - Prob. 42PCh. 17 - A copper cable is designed to carry a current of...Ch. 17 - Batteries are rated in terms of ampere-hours (A ...Ch. 17 - The potential difference across a resting neuron...Ch. 17 - The cost of electricity varies widely throughout...Ch. 17 - An electric utility company supplies a customers...Ch. 17 - An office worker uses an immersion heater to warm...Ch. 17 - Two wires A and B made of the same material and...Ch. 17 - Prob. 50PCh. 17 - If a battery is rated at 60.0 A h, how much total...Ch. 17 - A car owner forgets to turn off the headlights of...Ch. 17 - Prob. 53APCh. 17 - A given copper wire has a resistance of 5.00 at...Ch. 17 - Prob. 55APCh. 17 - Birds resting on high-voltage power lines are a...Ch. 17 - Prob. 58APCh. 17 - You are cooking breakfast for yourself and a...Ch. 17 - The current in a conductor varies in time as shown...Ch. 17 - A 120.-V motor has mechanical power output of 2.50...Ch. 17 - Prob. 62APCh. 17 - A length of metal wire has a radius of 5.00 103 m...Ch. 17 - In a certain stereo system, each speaker has a...Ch. 17 - A resistor is constructed by forming a material of...Ch. 17 - When a straight wire is heated, its resistance...Ch. 17 - An x-ray tube used for cancer therapy operates at...Ch. 17 - A man wishes to vacuum his car with a canister...
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- A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.arrow_forwardTaking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49arrow_forwardExplain 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_forward
- An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.arrow_forwardA copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm, and carries a current of 0.400A. The wire has a charge carrier density of 8.50x10^28 electrons/m3.a. The resistance, R, of the wire is:____Ω.b.The electric potential difference, V, across the wire is:____V.c.The electric field, E, in the wire is:____V/m.arrow_forwardA conductor is 6.00 cm long. If the material has a conductivity of 2.00 x 10^-2 Ω•m, then what must its diameter be in centimeters in order to yield a resistance of 3.00 ohms? A. 2.652758334 centimeters B. 2.256758334 centimeters C. 2.726558334 centimeters D. 2.526758334 centimetersarrow_forward
- As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section. You use up 95% of the copper and make a wire with a resistance of 0.893 Ω. The resistivity of copper is 1.72 10-8 Ω · m and its density is 8.92 103 kg/m3. What length of wire do you end up with? What is the diameter of the wire?arrow_forwardA gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mmarrow_forwardYou have a 100 meter long hollow square copper wire that has a side length of 5mm. The diameter of the cylindrical interior is 3.5 mm. If copper had a resistivity of (1.7x10^(-8)Ωm, what is the resistance of the wire? The units for the options are Ω. a.0.022 b. 0.068 c.0.11 d. 0.18 E.0.24arrow_forward
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