14.What is the diameter that a copper wire must have if its resistance is to be the same as an aluminum wirethat has the same length as the copper wire but its diameter is 2.14 mm.The resistivity of copper = 1.72 x 10-8 Ohm-metersThe resistivity of copper = 2.75 x 10-8 Ohm-meters

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Answered: 14. What is the diameter that a copper…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Current And Resistance

Section: Chapter Questions

Problem 27.73AP

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Similar questions

How does the resistance for copper and for silicon change with temperature? Why are the behaviors of these two materials different?
When 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.
A copper wire has a resistance of 0.500at 20.0°C, and an iron wire has a resistance of 0.525at the same temperature. At what temperature are their resistances equal?
Review. 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.
The current through a 12-gauge wire is given as I(t)=(5.00A)sin(260Hzt)). What is the current density at time 15.00 ms?
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.
When the current in the portion of the circuit shown in Figure P32.65 is 2.00 A anti increases at a rate of 0.500 A/s, the measured voltage is Vab = 9.00 V. When the current is 2.00 A and decreases at the rate of 0.500 A/s. the measured voltage is Vab = 5.00 V. Calculate the values of (a) I. and (b) R
(a) Digital medical thermometers determine temperature by measuring the resistance of a semiconductor device called a thermistor (which has a= - 0.0600/°C ) when it is at the same temperature as the patient. What is a patient's temperature if the thermistor’s resistance at that temperature is 82.0% of its value at 37.0°C (normal body temperature)? (b) The negative value for a may not be maintained for very low temperatures. Discuss why and whether this is the case here. (Hint: Resistance can’t become negative.)
What is the current in milliamperes produced by the solar cells of a pocket calculator through which 4.00 C of charge passes in 4.00 h?
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.
The circuit in Figure P27.34a consists of three resistors and one battery with no internal resistance. (a) Find the current in the 5.00- resistor. (b) Find the power delivered to the 5.00- resistor. (c) In each of the circuits in Figures P27.34b, P27.34c, and P27.34d, an additional 15.0-V battery has been inserted into the circuit. Which diagram or diagrams represent a circuit that requires the use of Kirchhoffs rules to find the currents? Explain why. (d) In which of these three new circuits is the smallest amount of power delivered to the 10.0- resistor? (You need not calculate the power in each circuit if you explain your answer.) Figure P27.34
Digital medical thermometers determine temperature by measuring the resistance of a semiconductor device called a thermistor (which has a=0.06/C ) when it isat the same temperature as the patient. What is a patient’s temperature if the thermistor’s resistance at that temperature is 82.0% of its value at 37C (normal bodytemperature)?

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14. What is the diameter that a copper wire must have if its resistance is to be the same as an aluminum wire that has the same length as the copper wire but its diameter is 2.14 mm. The resistivity of copper = 1.72 x 10-8 Ohm-meters The resistivity of copper = 2.75 x 10-8 Ohm-meters