Answered: A wire is made out of aluminum with a…

A wire is made out of aluminum with a cross-sectional area of 5.75×10−4 m2 and a length of 40 km. Assume the resistivity of aluminum is 2.65×10−8Ω⋅m. What is its resistance?

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 63P

See similar textbooks

Related questions

Q: The wire in a water heater is an alloy composed of nickel, chromium, and copper and has a…

Q: Calculate the ratio of the resistance of 15.0 m of aluminum wire 2.3 mm in diameter, to 30.0 m of…

A: Given: Length of aluminum wire, La=15 m Diameter of aluminum wire, d=2.3 mm…

Q: Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.38…

A: The volume of a material is calculated by using the formula V=mρ , where m=0.001 kg is the mass and…

Q: Calculate the resistance of 100-m wire having a cross-sectional area of 0.1mm^2 and made of manganin…

Q: A common flashlight bulb is rated at 0.24 A and 2.2 V (the values of the current and voltage under…

Q: 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…

A: Formula of resistance of wire is as follows: R=ρLA…

Q: Consider a cylindrical ohmic wire with the following dimensions: length = 10.0 m, radius = 0.05 m.…

Q: A metallic conductor has resistivity of 18 x 10-6 W.m. what is the resistance of a piece that is 30…

A: Basic Details The resistance of a substance is dependent on resistivity, the length of the conductor…

Q: copper wire is r = 2.19 cm in radius and 2.6 m in length, has a resistivity of 1.72x10^-8 Ω m, and…

A: Given: The radius of the wire is 2.19 cm. The length of the wire is 2.6 m. The resistivity of the…

Q: A copper wire has diameter 0.5 mm and resistivity of 1.6 × 10-8 Ω m. What will be the length of this…

Q: An aluminum "12 gauge" wire has a diameter d of 0.205 centimeters. The resistivity ρ of aluminum is…

A: Given diameter d of 0.205 cm and resistivity ρ of aluminum is 2.75×10−8 ohm-meters, changes with…

Q: A wire with resistivity 1.8 x 10-7 Ω m has a resistance of 0.45 Ω and a length of 2.0 m. What is the…

A: Given data: The given resistivity of wire is = 1.8×10-7 ohm-m The value of resistance is R = 0.45…

Q: A wire has a diameter of 1.0 mm and a length of 30 m, and is found to have a resistance of 1.2 Ω.…

A: The area of the wire is, A=πr2=πd24=3.141.0 mm10-3 m1 mm24=7.85×10-7 m2

Q: How long L is a tungsten wire id it has a diameter of 0.187 x 10^-3 m and a resistance of 3.31…

Q: An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At…

A: Resistance of wire of area of cross section A and length l is given as R= ρl/A.

Q: esistance depends on the size and shape of a conductor. We expect a long wire to have higher…

A: Given: ρ=12.08*10-8 Ωl = 14.22 mr = 1.33 m

Q: A0. 20 m long metal rod has a radius of 1.0 cm and a resistance of 3.2 x 10* a. What is the…

A: Given data: Length (L) = 0.20 m Radius (r) = 1.0 cm = 0.01 m Resistance (R) = 3.2 × 10-5 Ω Required:…

Q: A thin copper wire with a diameter 2.5 mm is connected to a 1.2-V potential difference, a current of…

A: The voltage and current is given. So using ohm's law we can calculate the resistance by, V=IR R is…

Q: A wire of diameter 0.650 mm and length 60.0 m has a measured resistance of 2.40 Ω. What is the…

A: Resistivity of the wire ρ=RAl=Rlπd24

Q: A conductor has a diameter of 2.59 mm. How many meters of this material are needed to yield a…

A: Resistivity of the conductor is ρ=1.77×10-8 Ω/m Diameter of the conductor d=2.59×10-3 m So, radius…

Q: The resistivity of copper is 1.68×10−8Ω⋅m and the resistivity of tungsten is 5.6×10−8Ω⋅m. Can a…

Q: Calculate the ratio of the resistance of 12.0 m of aluminum wire 2.1 mm in diameter, to 30.0 m of…

A: The resistance of copper is,

Q: Most of the resistance of the human body comes from the skin, as the interior of the body contains…

A: Electrical conductors are materials that allow electricity to flow readily through them.…

Q: A particular wire has a resistivity of 3.3 x 108 m and a cross-sectional area of 3.7 x 10-6 m². A…

Q: An aluminum rod with a square cross section is 1.8 m long and 6.2 mm on edge. (a) What is the…

Q: Resistance depends on the size and shape of a conductor. We expect a long wire to have higher…

A: The required solution is following.

Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

A wire is made out of aluminum with a cross-sectional area of 5.75×10⁻⁴ m2 and a length of 40 km. Assume the resistivity of aluminum is 2.65×10−8Ω⋅m.

What is its resistance?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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.
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.
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.
Taking 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 P21.49
A wire has a length of 8.0 m and is made of copper which has a resistivity of 1.7 x 10-8 Ωm. This wire has a diameter of .01 m. What is the resistance of this wire?
What 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.
How long L is a tungsten wire if it has a diameter of 0.137 x 10-3 m and a resistance of 3.41 k2? The resistivity of L = tungsten is 5.62 × 10-8 2:m.
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?
The resistivity of copper is 1.72E-8 Ω×m. What is the resistance of a copper wire that is 27.5 m long and has a diameter of 7.99E-3 m (in Ω)?
Resistance depends on the size and shape of a conductor. We expect a long wire to have higher resistance than a short one (everything else being the same) and a thicker wire to have a lower resistance than a thin one. Resistance also depends on the intrinsic property of the conductor called the resistivity. If the resistivity of a particular wire is 70.26x10-8 Ω ⋅ m, the wire is 44.47mm in length, and the radius of the diameter of the wire is 1.95m, what is the resistance of the wire in units of Ohms (Ω)?
The resistivity of copper ρ = 1.69 x 10-8 Ω.m. What length of copper in a cylinder of diameter of 523 μm would be required to give you a resistance of 10.0 Ω?
The resistivity of silver ρ = 1.61 x 10-8 Ω.m. If you have a length of silver wire that is 3.15 m in length, and that has a cross-sectional diameter of 482 μm, what is the resistance of that wire (in Ω, or Ohms)?