The resistivity of copper is 1.70 x 10-8 2. m. HINT Apply the expression relating resistance to resistivity. Treat the wire as a cylinder with volume V = Al where A is the wire's cross-sectional area. Click the hint button again to remove this hint. (a) Find the resistance of a copper wire (in ohms) with a radius of 1.21 mm and a length of 1.18 m. Q (b) Calculate the volume (in m³) of copper in the wire. m3 (c) Suppose that volume of copper is formed into a new wire with a length of 2.92 m. Find the new resistance of the wire (in ohms). Ω

The resistivity of copper is 1.70 x 10-8 2. m. HINT Apply the expression relating resistance to resistivity. Treat the wire as a cylinder with volume V = Al where A is the wire's cross-sectional area. Click the hint button again to remove this hint. (a) Find the resistance of a copper wire (in ohms) with a radius of 1.21 mm and a length of 1.18 m. Q (b) Calculate the volume (in m³) of copper in the wire. m3 (c) Suppose that volume of copper is formed into a new wire with a length of 2.92 m. Find the new resistance of the wire (in ohms). Ω

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 70AP: A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the...

See similar textbooks

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.
A child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?
Two identical resistors of R0=32 omega are connected head to tail. Part (a) Express the resistance R0 of one of the resistors in terms of the resistivity, length L, and the cross section area A. Part (b) calculate the total resistance R of the two resistors in ohms.
A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ. Part (a) Express the resistance in terms of L, r, ρ. R0 = P L/π r2 This equation is incorrect Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms? Rρ =600 Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms? Rl = Part (d) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms? Rr =
Two 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.
Consider a simple circuit consisting of a battery, a closed switch, and a resistor. The voltage across the battery is 1.72 V, and the current through the resistor is 3.93 A. If the resistor is a cylindrical resistor of length 0.06 m made of a material with resistivity of 5.6x10-6 ohm-meters, what is the cross-sectional area of the resistor element? Your answer should be in m2.
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.
A cylindrical conductor has resistance of R0 = 140 Ω. It has length L, radius of the cross section r, and resistivity ρ. Part (a) Express the resistance in terms of L, r, ρ. Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms? Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms? Part (d) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms?
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)?
A cylindrical conductor has resistance of R0 = 950 Ω. It has length L, radius of the cross section r, and resistivity ρ. a) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 2, what would the value of the new resistance be, in ohms? b) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms?
Two identical resistors of R0 = 98 Ω are connected head-to-tail. Express the resistance R0 of one of the resistors in terms of the resistivity ρ, length L, and the cross section area A. Calculate the total resistance R of the two resistors in ohms.
You have three resistors R1 = 422 Ohms, R2 = 271 Ohms & R3 = 426 Ohms. What is the maximum equivalent resistance that you can make by connecting these resistors? Please give your answer in Ohms.