The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?

The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 31P: Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the...

See similar textbooks

Related questions

Q: For the current density J = 10z sin² øa, A/m², find the current through the cylindrical surface p=…

Q: Given that the expression for the current density is =- 2cos 0 a +sin 0 a Alm2, determine the…

Q: A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The…

A: Given variable: Current density, J = 6br2 The radius of the conductor - R

Q: The beam, consisting of electrons with constant kinetic energy and uniform density, carries a…

A: Given : I = 1 mA = 0.001 A A = 23 mm2 = 23 x 10-6 m2 n = 3 x 1012 cm-3 = 3 x 1018 m3

Q: A wire with square XY-section (side length = 35 mm) carries a current density = 7 · x ·y · î , in…

Q: he quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm2 varies with…

Q: Consider two wires made of different materials. Wire A has a conductivity of 1.3 × 107 Ω-1m-1, and…

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m2.…

Q: What is the current in a wire of radius R = 2.08 mm if the magnitude of the current density is given…

A: Write a given values of this question.

Q: An iron wire with cross-section 1 × 10–6 m² carries current 195 A. Find the drift velocity Va, in…

Q: 1. The magnitude J of the current density in a certain wire with a circular cross section of radius…

Q: The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of…

Q: A copper wire of 3mm diameter with conductivity of 5.8 10' (12m), and clectron mobility of 0.0032 m…

A: Given data: The diameter of the copper wire is, d= 3 mm The conductivity of the copper wire is,…

Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =…

A: Current through the outer section is given by,

Q: A general relationship for the current density carried by electrons of density /I is J = qnv. where…

A: a) We know that current density(J) of electron is denoted as mentioned below. Where, q denotes…

Q: A circular beam of charge of radius 10 cm moving with a constant speed u = 3.10° m/s along the +z…

A: Given that,

Q: What is the electric field of a material when the current is equal to 25A, the resistance is…

A: Write the given value of this problem. Current(I)=25 AResistance(R)=78 ohmCurrent density(J)=24…

Q: An iron wire with cross-section 3.2 x 10 m2 carries current 167 A. Find the drift velocity Va, in…

Q: Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through…

Q: Q2Silver wire with cross section area 0.923mm2 , the resistivity 10.49g/cm³ and the molar mass…

A: Given data: Cross-section area of silver wire is, A=0.923 mm2=0.923×10-6 m2. Resistivity of wire is,…

Q: A copper wire of 3mm diameter with conductivity of 6.7 * 10' (Q.m) , and electron mobility of 0.0064…

Q: The electric field of the material between two coaxial cables of radius 0.525 cm and 0.675 cm is…

A: The current density of the material is, J=σE Here, σ is the conductivity of the material and E is…

Q: A wire of circular cross-section carries current density that is not uniform but varies with…

Q: A long coaxial cable, crossection of which is shown in the figure, is made up of a cylindrical inner…

Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =…

Q: The figure below represents a section of a circular conductor of nonuniform diameter carrying a…

A: Given: Current, I = 4.1 A The radius (of the cross-section A1), r1 = 0.22 cm = 0.0022 m

Q: What is the current in a wire of radius R = 4.48 mm if the magnitude of the current density is given…

Q: What is the current through a cylindrical wire of radius R = 0.1 mm if the current density is J = J0…

Q: An electron beam has a measured current of I = 54.30 µA with a radius of 2.00 mm. What is the…

A: The expression for current density is given by J = IA ..............................(1)whereJ =…

Q: The time variation of the charge passing by a conductor is given by q(t)=21+2t, where q is given in…

A: Solution

Q: The figure below represents a section of a circular conductor of nonuniform diameter carrying a…

Q: A wire of circular cross-section carries current density that is not uniform but varies with…

A: (a) For r <R dI = J(r).2πdr = A[1-r/R]2πrdr I = 2A∫(r-r2/R)dr = 2Aπ[r2/2 -r2/3R] (b)…

Q: The density and resistivity of a cubic metal of mass m=81 g are d=3 g/cm3 and ρ=1.5 x 10-8…

Q: Figure represents a section of a circular conductor of Ag nonuniform diameter carrying a current of…

A: Current density is defined as the total amount of electric current travelling in per unit cross…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies…

Q: Derive the current density of an electron flying counter-clockwise in a circle with 3 cm radius in…

Q: Given that a current of I(t)= 2t2+4 (where t is in s) is flowing parallel to the axis of a…

A: Given,

Q: Consider a resistor of resistivity 3.96 × 10-8 Ω • m. If an electric field of 12 V/m is applied…

A: The macroscopic form of the ohm's law relates the electric field in the conductor to the Current…

Q: A metal wire of cross-sectional area 2.00x10-6 m² and length 4.0 m has a current of 25.0 A uniformly…

A: Write a given values of this question.

Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =…

Q: A beam contains 2.0 × 109 doubly charged positive ions per cubic centimeter, all of which are moving…

Q: An independent and constant current source is supplying 0.6 ampere to a uniform copper conductor…

A: Given: The current in the wire is 0.6 A. The length of the wire is 40 mm. The inner and outer radius…

Q: What is the current in a wire of radius R = 2.83 mm if the magnitude of the current density is given…

Q: What is the current in a wire of radius R = 2.01 mm if the magnitude of the current density is given…

Q: A wire has a current density of 7.89 x 10° A/m². If the cross-sectional area of the wire is 3.67…

Q: A wire of circular cross-section carries current density that is not uniform but varies with…

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

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

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

The magnitude J of the current density in a certain wire with a circular cross section of radius R = 2.21 mm is given by J = (3.18 × 108)r2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.927R and r = R?
What is the current through a cylindrical wire of radius R = 0.1 mm if the current density is J = J0 R r , where J0 = 32000 A m2 ?
The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire’s cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B =2.00 * 10^5 A/m3.This function applies out to the wire’s radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the ring has a radial width of 10.0 mm and is at a radial distance of 1.20 mm?
The beam, consisting of electrons with constant kinetic energy and uniform density, carries a current of 1 mA. The cross-section-area of the beam is 23 mm², the electron density is 3x10^12 cm-3. If the electric current is directed to the right, what is the magnitude (m/s) and direction of the velocity of the electrons?
A copper wire of 3mm diameter with conductivity of 6.7 * 10' (Q.m) , and electron mobility of 0.0064 m2 N sec. Is subjected to an electric field of 30 mV/m. Find (a) the charge density of free electrons, (b) the current density, (c) current flowing in the wire, (d) the electron draft velocity.
The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 5.30 A. The radius of cross-section A1 is r1 = 0.510 cm. What is the magnitude (A/m2) of the current density across A1? Since the radius r2 at A2 is larger than the radius r1 at A1. will the current and current density at A2 larger, smaller, or the same? Assume A2 = 5A1. What is the radius, the current, and the current density at A2?
An electric eel develops a potential difference of 450 V, driving a current of 0.80 A for a 1.0 ms pulse. For this pulse, find (a) the power, (b) the total energy, and (c) the total charge that flows.
What is the current in a wire of radius R = 4.48 mm if the magnitude of the current density is given by (a) Ja = J0r/R and (b) Jb = J0(1 - r/R) in which r is the radial distance and J0 = 7.93 × 104 A/m2? (c) Which function maximizes the currentdensity near the wire’s surface?
Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through a conductor with a cross-section (1.00nm x 1.00µm), length of 10.00mm, is 1.00mA and the voltage value falling on it is 1.00V.
A general relationship for the current density carried by electrons of density /I is J = qnv. where q is the electronic charge and II is the electron velocity.
The electric field of the material between two coaxial cables of radius 0.525 cm and 0.675 cm is given as E = 2.85 V.m/r3 . If the conductivity of the material is 5 x 1010 S/m, what is the current density in the material?
The vector current density of a 3m long and 3mm diameter conductor is given as 155630 A/m^2. Determine the curent on the conductor, its free electron density, the drift velocity of the charges and the number of electrons passing through the conductor for 3 seconds.