A conductor of radius r, calligraphic length l, and resistivity rho has a resistance R. It is fused and formed into a new cylindrical conductor, one quarter the length of the original conductor. The resistance of the new conductor is

A conductor of radius r, calligraphic length l, and resistivity rho has a resistance R. It is fused and formed into a new cylindrical conductor, one quarter the length of the original conductor. The resistance of the new conductor is

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 69PQ

See similar textbooks

Related questions

Q: The figure here shows three cylindrical copper conductors along with their face areas and lengths.…

Q: A spherical shell with inner radius r, and outer radius r, is formed from a material of resistivity…

Q: A conductor of uniform radius 1.20 cm carries a current of 2.60 A produced by an electric field 116…

A: we know current density J =I/A where I is amount of current flowing =2.60 A A = area of cross…

Q: At what temperature will aluminum have a resistivity that is three times the resistivity of copper…

Q: Two conductors are made of the same material and have the same length. Con- ductor A is a solid wire…

Q: A coaxial cable consists of an inner conductor with radius ri = 0.25 cm and an outer radius of ro =…

Q: Which of the following graphs represents Ohm's law for a solid conductor at the constant…

A: Option (B) is correct.

Q: A rod of semiconducting material of length L = 6m and cross-sectional area A = 5 mm2 lies along the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: a wire of uniform cross-section has a resistance of R. What would be the resistance of a similar…

A: We know the expression for resistance is R=ρLA Resistance of wire 1 R1=ρLAR1=ρLπd22R1=4ρLπd2…

Q: A potential difference of 12 V is found to produce a currentof 0.40 A in a 3.2 - m length of wire…

Q: Two long coaxial metal cylinders (radii a and b) with a length L, are separated by material of…

Q: The resistance of a copper wire and an aluminum wire are equal. What is the ratio of the diameters…

A: Given data: Rcu = RAl Have the same length Required: The ratio of diameters of the copper to…

Q: A wire of length L and cross-sectional area A has resistance R. What will be the resistance…

A: A wire has length L, cross sectional area A and resistance R. Then resistance of the wire is given…

Q: Two conductors are made of the same material and have the same length. Conductor A is a solid wire…

A: Given: Diameter of conductor A = 1.5mm Inner Diameter of conductor B = 2.7mm Outer Diameter of…

Q: Consider two coaxial conducting spheres of radii a and b = 2a. Filled with a conductive material…

A: Given P = p0(1+r/a) And R = p*L/A

Q: In Ohm's Law experiment, In order to measure the resistivity (at a given temperature) of an Ohmic…

Q: Determine the length e and diameter d of a cylinder of copper in terms of the volume "V" ,…

Q: conductor of radius r, length and resistivity p has resistance R. It is melted down and formed nto a…

A: Answer option(C)

Q: ine the resistance of a conductor 0.119m long, with a uniform diameter of 1.19 cm and having a…

A: Given Length of conductor, Lo=0.119 mDiameter of conductor, d=1.19 cmResistivity, ρ=0.319+10-4 L2 Ω…

Q: The Nichrome unit (p=660) in a toaster has a resistance of 24 ohms. What is the resistance of a…

A: resistance of nichrome unit (R) = 24 ohm Let the cross sectional area of nichrome unit = A Let the…

Q: A metallic wire is stretched from original length of 2 m to 6 m. If the original cross-sectional…

A: When a metallic wire is stretched, its length increases, cross sectional area decreases and volume…

Q: Two wires have the same resistance and radius. If the wires are made of tungsten and copper with…

A: Given data The resistance of both the wires is equal to Rt = Rc The radius of both the wires rt =…

Q: Nine copper wires of length l and diameter d are connected in parallel to form a single composite…

A: Suppose that the diameter of each resistance is d. The equivalent resistance here is

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

A: Write a given values of this question. L=10mA=4.5mm2=4.5×10-6m2ρ∘=5×10-4Ω.mV∘=30V

Q: A nichrome wire of length 1.5 m is used as conductor. The cross-sectional area of the wire is 0.75…

A: Write the expression for the resistance of nichrome wire. R=ρLA…

Q: A conductor of cross-sectional area A, length I, and resistivity p has resistance R. What is the new…

A: Given data: The original resistance = R New length (L') = 4L New Area (A') = 2A The resistivity of…

Q: The Nichrome unit (ρ = 660) in a toaster has a resistance of 24 ohms. What is the resistance of a…

A: Given resistivity of Nichrome wire = ρn = 660 Ω.m resistance of Nichrome wire= Rn = 24 Ω length of…

Q: The resistivity “ρ” of a wire is expressed as ρ(x)=αx where α is a constant and x is thelength of…

Q: A cylindrical resistor of length L, cross section area A and conductivity o is connected to battery…

A: Given: Length= L Cross section area=A Conductivity=σ Voltage=ε Current density=J Current=I

Q: A conductor of radius r, length e and resistivity r has resistance R. What is the new resistance if…

Q: Two long coaxial metallic cylinders of radii a and b and length L are separated by a material of…

Q: In a conductor, if the number of conduction electrons per unit volume is 8.5 x 1028 m3 and mean free…

Q: If the length of a conductor is halved and its area of cross section is doubled, then the…

Q: Two wires have the same resistance and radius. If the wires are made of platinum and copper with…

Q: Suppose you wish to fabricate a uniform wire from a mass m of a metal with density ρm and…

Q: Every atom makes one free electron in copper. If 1.1 ampere current is flowing in the wire of copper…

A: Given data The magnitude of the current is I = 1.1 A The diameter of the copper wire is d = 1 mm = 1…

Q: a piece of copper wire with a radius of 6 cm has a resistance of 50 ohm. the wire is cylindrical. If…

A: Write the equation for the resistivity formula. ρ = RA/L Here,ρ is resistivity, R is resistance, A…

Q: A cylindrical rod has resistivity p. If we triple its length and diameter, what is its resistivity,…

A: Given: The resistivity of rod is ρ. The length of rod is L. The diameter of rod is D. The…

Q: determine Two copper wires A and B have the same length and are connected across the same battery.…

Q: A potential difference of 3.00 µV is set up across a 2.00 cm length of a wire (with resistivity of…

A: Given data: The potential difference is V=3.00 μV. Length of wire is l=2.00 cm. The resistivity of…

Q: In the circuit shown, Determine the following: A. Magnitude and direction of the current B. The…

Q: A capacitor with capacitance C = 2.5 μF is charged to a voltage V = 5V. It is then discharged…

A: C = 2.5 μF V = 5 volts R = 100 ohm

Q: Consider a hollow spherical conductor of inner radius a and outer radius 3a. The conductivity…

A: (a) Write the formula for the resistance.

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

Q: Al = 10m long cylindrical wire made of gold (resis- tivity pAu = 2.44 × 10¬* N m at To = 20° C,…

A: Length (l) = 10 m resistivity (ρ) = 2.44×10-8 ohm.meter T = 20oC αAu = 3.43×10-3 (C-1) R = 1 ohm

Q: A 5-meter-long conductor wth the diameter of 5mm is connected to a source and an external…

Question

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is Ri= 0.20 mm and the outer radius is R0 = 0.30 mm. The length of the resistor is L = 0.90 mm. The resistivity of the carbon is =3.5105 m. (a) Prove that theresistance perpendicular from the axis is R=2L1n(R0Ri) . (b) What is the resistance?
Two conductors are made of the same material and have the same length. Conductor A is a solid wire of diameter 1.9 mm. Conductor B is a hollow tube of outside diameter 2.9 mm and inside diameter 1.9 mm. What is the resistance ratio RA/RB, measured between their ends?
Consider a hollow spherical conductor of inner radius a and outer radius 3a. The conductivity (sigma) is a function of r, measured from the center of the sphere: sigma = c / r, where a < r < 3a and c is a constant. a) If we apply a potential difference V between it's inner and outer surfaces, with the inner surface at a higher potential, find the resulting current density j and the electric field E as a function of r. b) Find the resistance R of the spherical resistor
A cylindrical conductor with resistivity ρ, length L, and radius r , has resistance R0=302Ω. If the resistivity and the length of the conductor both have their original values, but instead the radius of the conductor is increased by a factor of 5, what is the new value, in ohms, of the resistance?
a wire of uniform cross-section has a resistance of R. What would be the resistance of a similar wire, made of the same material, but twice as long and of twice the diameter?
If the length of a conductor is halved and its area of cross section is doubled, then the resistivity of the conductor is
A copper (resistivity = 1.72 EXP-8 Ω.m) conductor with a square cross section, 1.0 mm on a side is 100 m long and is initially 20oC. 1. If the temperature coefficient (a) of copper is 0.00393 per degree Celsius, what is the change in resistance of the copper conductor if the temperature is increased to 100 degrees Celsius? 2. What is the resistance of this conductor?
A wire of length L and cross-sectional area A has resistance R. What will be the resistance Rstretched of the wire if it is stretched to twice its original length? Assume that the density and resistivity of the material do not change when the wire is stretched.
The Nichrome unit (p=660) in a toaster has a resistance of 24 ohms. What is the resistance of a copper conductor of equal cross sectional area, but 10 times as long as the Nichrome wire?
Two long coaxial metallic cylinders of radii a and b and length L are separated by a material of resistivity ρ. If the cylinders are maintained at a constant potential difference ΔV, what current flows from one cylinder to the other?
Consider two coaxial conducting spheres of radii a and b = 2a. Filled with a conductive material with resistivity p = p0 (1 + r / a) between the radii (region a≤r≤b). Calculate the resistance between the spheres.
Suppose you wish to fabricate a uniform wire from a mass m of a metal with density ρm and resistivity ρ. If the wire is to have a resistance of R and all the metal is to be used, what must be (a) the length and (b) the diameter of this wire?