An aluminum resistance thermometer consists of a coil of 5.8273 mm diameter wirein a coil. Determine the length of wire needed so that the coil's resistance at 20°Cis 330 Q.Table 16.8 The resistivity p ofdifferent materials.Resistivity (2 m,at 20 °C)MaterialMetalsSilverCopperAluminumTungstenConstantan1.6 X 101.7 X 102.8 X 105.2 X 10850 X 10DielectricsOrdinary glassHard rubberShellacDry wood9 X 1011 X 10161 X 101410 -1016Human tissueBloodLung tissueFat1.52025TrunkSkin5000-50,000Geological materialsIgneous rocksSedimentary rocksGround water10-1071-10510

Answered: Image /qna-images/answer/48d0d76b-a7a5-415b-bc3e-2f522025ea48.jpg

Answered: An aluminum resistance thermometer…

An aluminum resistance thermometer consists of a coil of 5.8273 mm diameter wire in a coil. Determine the length of wire needed so that the coil's resistance at 20°C is 330 Q.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 12P

See similar textbooks

Related questions

Q: A gold resistance thermometer has a resistance Ro = 70.0Ω at To = 20°C. The temperature coefficient…

A: SOlution: given that Ro = 70.0Ω To = 20°C Temperature coefficient of resistance is 3.4x10-3°C R…

Q: A thermometer made of Platinum has a resistance of 50 2 at 20 C, what is the measured temperature…

A: Given data: Radius R=19.8 cm=0.198m Dielectric constant k =2.16

Q: The resistance of a thin silver wire is 1.0 32 at 0°C. The wire is placed in a liquid bath and its…

A: Resistance is a measure of the opposition to current flow in an electrical circuit. Here,we…

Q: A toaster has a Nichrome (a-4.5 10 C) heating element that has a resistance of Ro 80 at a…

Q: When at 25 degrees Celsius, a certain resistor has a resistance of 220 Ohms. When connected to a…

Q: 137 cm as diameter consists of 15000 turns and the mean length per turn is 3980 cm.

A: R = LGA L = Length A = Area G = Conductivity

Q: 1.5. The resistance of a platinum wire is found to be 11.000 2 at the ice point, 15.247 N at the…

Q: A copper wire has a resistance of 15 Q at a temperature of 140C. After a current passes through the…

A: We have givenR1=15 ohmT1=14°CAfter passing currentR2=22.5 ohm

Q: It is proposed to have a water heater that consists of an insulated pipe of 7.5-cm diameter and an…

A: The given values are,

Q: What current (in A) must be produced by a 12.0 V battery-operated bottle warmer in order to heat…

A: Mass of glass = 70 g Mass of baby formula = 200 gMass of aluminum = 350 g Initial temperature = 20oC…

Q: A platinum resistance thermometer has resistances of 210.0 2 when placed in a 0°C ice bath and 234.8…

A: Given information: The resistance of platinum thermometer when placed at 0 oC, R1=210.0 Ω The…

Q: A copper transmission cable 43 km long and 5.3 cm in diameter carries a current of 41 A. How much…

Q: A thermometer made of Platinum has a resistance of 50 N at 20 C, what is the measured temperature…

A: Given data: Reference resistance Ro = 50 Ω Reference temperature To = 20 °C Resistance at…

Q: A current of 1.78 A fHows through a 58.2 2 resistor for 9.1 min. How much heat was generated by the…

A: Given data: Current (I) = 1.78 A Resistance (R) = 58.2 Ω Time (t) = 9.1 min Required: Heat…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the…

Q: Calculate the power dissipated in the metal wire when the current Which graph was obtained at the…

Q: A toaster has a Nichrome (a-4.5x104 c) heating element that has a resistance of R 80 0 at a…

Q: If it takes 8 minutes to boil a quantity of water electrically, how long will it take to boil the…

A: Given Time to boil water t1=8min Initial current I Final current I2=2I

Q: A toaster has a Nichrome (a-4.5x104 C) heating element that has a resistance of Ro= 80 N at a…

A: Given-Temperature coefficient α=4.5×10-40 C-1Resistance R0= 80 ΩInitial temperature T=200CFinal…

Q: A thermometer made of Platinum has a resistance of 50 N at 20 C, what is the measured temperature…

Q: 3. Water, specific heat capacity c = 4.186 joules/gram C, flows through an insulated plastic pipe at…

Q: 1.5. The resistance of a platinum wire is found to be 11.000 N at the ice point, 15.247 2 at the…

A: Given data: R'=R0'1+aθ+bθ2

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the…

A: Given data The operating voltage of a coffee maker is V = 120 V. The current carried by the coffee I…

Q: Given the temperature coefficient of resistivity of a certain wire to be 3.1 x10−3 (°C)−1.By what…

A: Given temperature coefficient of resistivity , α=3.1 x10−3 (°C)−1 Let T1 =20.0°C T2 = 79.48…

Q: A toaster has a Nichrome (a4.5x10-4 °C-) heating element that has a resistance of Ro80 2 at a…

A: Temperature coefficient, α=4.5×10-4°C-1 Resistance, Ro=80Ω at temperature To=20°C Resistance,…

Q: A coil is formed by winding 250 turns of insulated 16-gauge copper wire (diameter 1.3 mm) in a…

Q: The copper windings of a motor have a resistance of 46 Ω at 20oC when the motor is idle. After the…

A: Initial resistance of copper windings (r) = 46 ohm initial temperature of the copper windings (t) =…

Q: A toaster has a Nichrome (a-4.5x10* °C) heating element that has a resistance of Ro- 80 n at a…

A: Given data: Resistance R0=80Ω Temperature T0 =20°C Coefficient of temperature α=4.5×10-4°C-1…

Q: Calculate the resistance of a copper wire with a diameter of 2.5968 mm having a length of 1000 m at…

A: The resistance of a conductor made of a certain material is directly proportional to the length of…

Q: By what factor is the resistance of a copper wire changed when its temperature is increased from…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the…

A: Given information: The voltage at which the coffee maker works (V) = 120 V The current it carries…

Q: The diameter of 0-gauge copper wire is 8.252 mm. Find the resistance of a 1.00-km length of such…

A: Given that , The diameter d = 8.252 mm. Radius r =…

Q: A spool of copper wire 200 m long and with a diameter of 0.320 mm is at 20.0°C. For copper, the…

Q: A metal wire has a resistance of 10.00 W at a temperature of 20°C. If the same wire has a resistance…

A: Given: The resistance of the wire at 20 oC is 10 w. The resistance of the wire at 90 oC is 10.55 w.…

Q: If a 60 W electric heater has a current of 4 A at 20°C, what will be the resistance if its…

Q: A coil of wire has a resistance of 36.2Ω at 26 °C and 61.7Ω at 67 °C. What is the temperature…

Q: . Find the ratio of the resistances of a copper wire to an aluminum wire if the length and diameter…

A: It is given that the length and diameter of the aluminum wire is twice the diameter of the copper…

Q: A piece of resistance wire, 15.6 m long and of cross-sectional area 12 mm² 0 °C, passes a current of…

Q: A coil is formed by winding 330 turns of insulated 16 gauge copper wire (diameter = 1.0 mm) in a…

Q: Find the ratio of the resistances of a copper wire to an aluminum wire if the length and diameter of…

A: Rco=ρcoLcoπdco2/4=4ρcoLcoπdco2 Ral=4ρalLalπdal2=4ρal2Lcoπ2dco2=2ρalLcoπdco2

Q: A copper wire had a resistance of 15 Ω at a temperature of 14℃. After a current had passed through…

A: Write the expression for the final resistance. Here, Ro represents the initial resistance, α…

Q: A coil is formed by winding 260 turns of insulated 16 gauge copper wire (diameter = 1.6 mm) in a…

Q: A copper transmission cable 19 km long and 16.5 cm in diameter carries a current of 33 A. How much…

Q: A thermometer made of platinum has a resistance of 50 at 20 C, what is the measured temperature (in…

A: In this problem, resistance (R1) of the thermometer at temperature (T1) is given and temperature (T2…

Q: A copper transmission cable 19 km long and 18.9 cm in diameter carries a current of 43 A. How much…

Q: The resistance of a coil of copper wire is 3.35 2 at 0°C. What is the resistance at 50°? (copper, a…

A: The resistance and temperature relationship is R=R01+α(T-T0) Here R is resistance at temperature T,…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 6.0-V battery has a resistance of…

A: Given At 20° C , The voltage supply ,V = 6.0 V Resistance , R = 2.6*102 ohm At 73 ° C , the…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5.7-V battery has a resistance of…

Concept explainers

Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting material, its cross-sectional area, resistivity, and temperature.

Question

An aluminum resistance thermometer consists of a coil of 5.8273 mm diameter wire
in a coil. Determine the length of wire needed so that the coil's resistance at 20°C
is 330 Q.
Table 16.8 The resistivity p of
different materials.
Resistivity (2 m,
at 20 °C)
Material
Metals
Silver
Copper
Aluminum
Tungsten
Constantan
1.6 X 10
1.7 X 10
2.8 X 10
5.2 X 108
50 X 10
Dielectrics
Ordinary glass
Hard rubber
Shellac
Dry wood
9 X 101
1 X 1016
1 X 1014
10 -1016
Human tissue
Blood
Lung tissue
Fat
1.5
20
25
Trunk
Skin
5000-50,000
Geological materials
Igneous rocks
Sedimentary rocks
Ground water
10-107
1-105
10

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Objective

VIEW

Step 2 Formula and Calculation

VIEW

Step 3 Conclusion

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

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 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.
What is the resistance (in Ω) of a 34.5 m long piece of 16 gauge copper wire having a 1.291 mm diameter?
37.) 00-gauge copper wire has a diameter of 9.266 mm and a resistivity of 1.72 × 10-8 Ω⋅m. Calculate the power loss in a kilometer of such wire, in watts, when it carries 0.95 × 102 A .
1. A wire 300 m long has a resistance of 1.18 Ω and a cross-sectional area of 14 mm2. Of what material is the wire made? 2. A 50 m long wire with a cross-sectional area of 5.5 mm2 has a resistance of 31 Ω at 0 °C. Calculate the resistivity of the wire at 60 °C if the temperature coefficient of resistance at 0 °C is 0.0003 per °C.
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?
Some states allow the use of aluminum wire in houses in place of copper. If you wanted the resistance of your aluminum wires to be the same as that of copper, calculate the ratio of the thickness of the aluminum wire to the copper wire. (ρAl = 2.82 x 10-8 Ω-m and ρCu = 1.72 x 10-8 Ω-m)