Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Question
Chapter 26, Problem 48SP
(a)
To determine
The area of the copper wire of diameter of
(b)
To determine
The resistance of the copper wire of resistivity
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a) Determine the length (in mm) of a gold conductor that has a resistance of 0.018 Ω and a cross-sectional area of 3.4 x 10-9 m2. The resistivity of gold is 2.2 x 10-8 Ω-m [round your final answer to one decimal place].
b) An aluminum conductor with the same length and area as in the question above would have a higher resistance than the gold conductor. The resistivity of aluminum is 2.6 x 10-8 Ω-m. True or False?
An electrician plans to cut a copper wire with more than 10Ω resistance (p=1.724*10-8m). The radius of the wire is 0.725mm. What is the approximate length of wire that has a resistance of 10Ω?
Determine the length (in mm) of a gold conductor that has a resistance of 0.015 Ω and a cross-sectional area of 3.3 x 10-9 m2. The resistivity of gold is 2.2 x 10-8 Ω-m [round your final answer to one decimal place].
Chapter 26 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 26 - Prob. 20SPCh. 26 - 21. An electron gun in a TV set shoots out a beam...Ch. 26 - 22. What happens to the resistance of a copper...Ch. 26 - Prob. 23SPCh. 26 - Prob. 24SPCh. 26 - 25. What is the current through an 8.0-Ω toaster...Ch. 26 - 26. What potential difference is required to pass...Ch. 26 - 27. Determine the potential difference between the...Ch. 26 - Prob. 28SPCh. 26 - Prob. 29SP
Ch. 26 - 30. An electric utility company runs two 100 m...Ch. 26 - 31. When the insulation resistance between a motor...Ch. 26 - Prob. 32SPCh. 26 - Prob. 33SPCh. 26 - Prob. 34SPCh. 26 - Prob. 35SPCh. 26 - Prob. 36SPCh. 26 - Prob. 37SPCh. 26 - Prob. 38SPCh. 26 - 39. Find the potential difference between points-A...Ch. 26 - Prob. 40SPCh. 26 - 41. In Fig. 26-5, how large must R be if the...Ch. 26 - 26.42 [II] For the circuit of Fig. 26-6, find the...Ch. 26 - Prob. 43SPCh. 26 - Prob. 44SPCh. 26 - Prob. 45SPCh. 26 - Prob. 46SPCh. 26 - Prob. 47SPCh. 26 - Prob. 48SPCh. 26 - Prob. 49SP
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- Calculate the ratio of the resistance of 15.0 m of aluminum wire 2.3 mm in diameter, to 30.0 m of copper wire 1.7 mm in diameter. The resistivity of copper is 1.68 x 10–8 N. m and the resistivity of aluminum is 2.65 x 10-8 N · m. Express your answer using two significant figures.arrow_forwardSuppose you're using a copper wire that has a radius of 0.5 mm, is 3.8 m long, and has a resistivity p=1.7 x 10 8 N- m. What is the resistance of the wire in Ohms?arrow_forwardA copper wire has a length of 34.0 m and a resistance of 3.60 2 at 20.0°C. Assuming a circular cross-section, what is the wire's diameter (in mm)? The resistivity of copper at 20.0°C is 1.70 x 10-8 0 · m. mm Need Help? Read Itarrow_forward
- An aluminum rod has a resistance of 1.585 2 at 23.0°C. Calculate the resistance of the rod at 136.00°C by accounting for the changes in both the resistivity and the dimensions of the rod. Round your answer to the nearest thousandth and write it in the answer section. For aluminum: Temperature resistance coeff. ¤f = 3.90 X 10-3 °C-1, length expansion coeff. a = 24.0 X 10-6 °C-1.arrow_forwardWhat is the resistance of a wire with a length of 43.4 m and a radius of 2.8 mm, made from a metal with resistivity 6.0 x 10-8 ohm*m? Three significant figures.arrow_forwardTwo copper wires (call them A and B) both have length 19.0 m but wire A has a radius 7.045 mm and wire B has a radius 2.668 mm. What is the ratio of the resistances of the two wires? The resistivity of copper is 1.68x10-8 Ω/m. Report your answer to three decimal places.arrow_forward
- Find the resistance (in the unit of Ohm) of a Nichrome rod of diameter d=10 mm and has a length L=7 m (resistivity of Nichrome, P= 1.8x 10 Q.m) a. 0.0003207 b. 2.572 10-8 c. 0.0001604 d. None e. 0.01266arrow_forwardQuestion 1 I= Part (a) I measure the resistance of this wire and find it to be R = 156 Q2. What is the resistivity of the material the wire is made out of? p=5.182 *10-4 p=5.182 x 10-4 ✓ Correct! Part (b) What is the conductivity of this wire, in inverse Ohms per meter? 1930. ✓ Correct! o=1929.8 Part (c) Part (c) Give an expression for the current density in the wire if an electric field E is passing through it. Write this in terms of the resistivity and the other variables in the problem. A particular wire has a length of L = 2.7 m and a circular cross-sectional area of radius r = 1.69 mm. X J= EL/Rar² x J= E/p Question 2 Correct Answer E-Pat sin()) cotan() atan() cosh() E-4.752x10 ✓ Correct! B 8 L P Student Final Submission E-Pat Part (b) How much energy has been used in joules? Y d h m 7 Part (d) Calculate the current in the wire, in milliamperes, if the field strength is 5.28 V/m. r cos() asin() acotan() sinh() tanh() cotanh() Degrees O Radians You leave a 110 W light bulb on for…arrow_forwardAn electrician wishes to cut a copper wire (ρ=1.724 X10−8Ωm) that has no more than 10Ω of resistance. The wire has a radius of 0.725mm. 1. The area of cross section of the wire is Answer ? 2. Approximately what length of wire has a resistance equal to the maximum 10Ω ?arrow_forward
- A tungsten wire has a resistance of 4.00 at 11.0°C. Determine its resistance (in ) at 411°C. The temperature coefficient of resistivity for tungsten wire is 4.50 × 10-3 (°C)¯¹. (Assume that the temperature coefficient of resistivity was measured using the reference temperature 20°C.) 11.2 X We are interested in two cases. For case 1, we know the resistance at some temperature and for case 2 we wish to determine the resistance at some other temperature. Write an expression for the resistance as a function of the temperature for each case and eliminate Ro between the two expressions in order to determine the resistance for case 2.arrow_forwardCompute the voltage drop along a 28-m length of household no. 14 copper wire (used in 15-A circuits). The wire has diameter 1.628 mm and carries a 13-A current. The resistivity of copper is 1.68×10¬8 N · m. Express your answer to two significant figures and include the appropriate units. HA ? V = Value Units %3Darrow_forwardWhat is the resistance of a copper bus bar 9.15 meter long and 7.62 cm by 1.27 cm in cross section? Use 1.78 μΩ-cm specific resistance for copper.arrow_forward
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