A wire 50.0 m long and 2.00 mm in diameter is connected to a source with a potential difference of 9.11 V, and the current is found to be 36.0 A. Assume a temperature of 20°C and, using the table below, identify the metal outof which the wire is made.Resistivities and Temperature Coefficients of Resistivityfor Various Materials (at 20°C)MaterialResistivityTemperature Coefficientof Resistivity [(°C)¯1](w. U)Silver1.59 x 10-83.8 x 10-3Copper1.7 x 10-83.9 x 10-3Gold2.44 x 10-83.4 x 10-3Aluminum2.82 x 10-83.9 x 10-3Tungsten5.6 x 10-84.5 x 10-3Iron10.0 x 10-85.0 x 10-3Platinum11 x 10-83.92 x 10-3Lead22 x 10-83.9 x 10-3Nichromea150 x 10-80.4 x 10-3Carbon3.5 x 10-5-0.5 x 10-3Germanium0.46-48 x 10-3Silicon640-75 x 10-3Glass1010-1014Hard rubber1013Sulfur1015Quartz (fused)75 x 1016

Answered: Image /qna-images/answer/0bf16eeb-f34e-4b52-ad40-640d0922a1e9.jpg

A wire 50.0 m long and 2.00 mm in diameter is connected to a source with a potential difference of 9.11 V, and the current is found to be 36.0 A. Assume a temperature of 20°C and, using the table below, identify the metal out of which the wire is made. Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Resistivity Temperature Coefficient (0 . m) Material of Resistivity [(°C)-l] Silver 1.59 x 10-8 3.8 x 10-3 Copper 1.7 x 10-8 3.9 x 10-3 Gold 2.44 x 10-8 3.4 x 10-3 Aluminum 2.82 x 10-8 3.9 x 10-3 Tungsten 5.6 x 10-8 4.5 x 10-3 Iron 10.0 x 10-8 5.0 x 10-3 Platinum 11 x 10-8 3.92 x 10-3 Lead 22 x 10-8 3.9 x 10-3 Nichrome 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber 1013 Sulfur 1015 Quartz (fused) 75 x 1016

A wire 50.0 m long and 2.00 mm in diameter is connected to a source with a potential difference of 9.11 V, and the current is found to be 36.0 A. Assume a temperature of 20°C and, using the table below, identify the metal out of which the wire is made. Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Resistivity Temperature Coefficient (0 . m) Material of Resistivity [(°C)-l] Silver 1.59 x 10-8 3.8 x 10-3 Copper 1.7 x 10-8 3.9 x 10-3 Gold 2.44 x 10-8 3.4 x 10-3 Aluminum 2.82 x 10-8 3.9 x 10-3 Tungsten 5.6 x 10-8 4.5 x 10-3 Iron 10.0 x 10-8 5.0 x 10-3 Platinum 11 x 10-8 3.92 x 10-3 Lead 22 x 10-8 3.9 x 10-3 Nichrome 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber 1013 Sulfur 1015 Quartz (fused) 75 x 1016

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 81CP: A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The...

See similar textbooks

Similar questions

A 10-gauge copper wire has a cross-sectional area A=5.26mm2 and carries a current of I=5.00A . The adensity of copper is =89.50g/cm2 . One mole ofcopper atoms (6.021023atoms) has a mass ofapproximately 63.50 g. What is the magnitude of the drift velocity of the elections, assuming that each copper atom contributes one free electron to the current?
What current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)
The current of an election beam has a measuredcurrent of I=50.00A with a radius of 1.00 mm2. What is the magnitude of the current density of the beam?
2) Resistivity is a property of a particular material and can be used to calculate the resistance of a sample. a) Provide an equation for calculating the resistivity of a material. b) Calculate the resistance of 50m roll of copper wire which has a cross sectional area of 5mm^2 if the resistivity of copper is 1.72 x 10^-8 ohm metres.
QUESTION 5 The density of free electrons in gold is 5.9 ×1028 m¯³. If a gold wire with diameter d= 5.0 mm carries a current of 2.3 A, find the drift velocity (in µm/s) of the electrons in the wire. QUESTION 6 A toaster having a Nichrome heating element of initial resistance Ro is switched on at T= 20 °C. The temperature coefficient of Nichrome is 4.5×10¯“ °C¯' amd the operational temperature of the toaster's heating element is 220 °C. The toaster is rated at 0.71 kW at 240 V. Calculate the initial resistance Ro (in 2) of the heating element.
A wire 50 m long and 1 mm in radius is connected to a battery 9.11 V with a current of 36 A. Taking the temperature at 20°C and using the table of resistivities for some materials above, determine the material of the wire. (Copper)
The Resistance of Nichrome Wire The radius of a piece of Nichrome wire is 0.306 mm. (Assume the wire's temperature is 20°C.) (a) Calculate the résistance per unit length of this wire. SOLUTION Conceptualize This table shows that Nichrome has a resistivity two orders of magnitude larger than the best conductors in the table. Therefore, we expect it to have some special practical applications that the best conductors may not have. Categorize We model the wire as a ---Select--- so that a simple geometric analysis can be applied to find the resistance. Analyze Use this equation and the resistivity of Nichrome to find the resistance per unit length (in 0/m): R 0/m %3D %3D %3D A (b) If a potential difference of 10 V is maintained across a 1.0 m length of the Nichrome wire, what is the current in the wire? SOLUTION Analyze Use this equation to find the current (in A): AV I = %3D A R Finalize Because of its high resistivity and resistance to oxidation, Nichrome is often used for heating…
A wire with radius 0.225 mm,resistance 14.6 Ω, and length 1.55 m,draws a current of 8.2 A. Find thevoltage drop across the wire andcalculate the resistivity of the wire.
A certain lightbullb has a tungsten filament with a resistance of 22.4 N when at 20.0°C and 143 N when hot. Assume the resistivity of tungsten varies linearly with temperature even over the large temperature range involved here. Find the temperature of the hot filament. 1871.44874605x Your response differs from the correct answer by more than 10%. Double check your calculations.°C
The specific resistivity of copper is 1.724 micro-ohm-cm. Compare the resistance of a copper rod A and rod B, if rod A is 1 meter long and has an area of 2 sq. cm, and rod B is 1/ 2 meter long and has an area of 4 sq. cm. Please answer with a complete solution.
A length of aluminum wire of wide L is connected to a power source of 10 V, measured with precision a current of 0.3445 A at 20°C. It is placed on the wire in another environment where the temperature is unknown and a current of 0.2760 A is measured. What is the unknown temperature? Aluminum resistivity 2.65x10-8 Temperature coefficient 0.00429 Please USE SI system
complete solution. A piece of copper wire has a resistance of 1.5Ω. Solve for the resistance of the manganin wire of one-fourth length and one-fifth diameter if the resistivity of manganin is 20 times that of copper.