The following figure presents a long hollow conducting cylinder with an inner radius of a 2.0 cm and an outer radius of b = 4.0 cm. The current direction is out of the page and it is distributed uniformly with the current density J- 10 A/m^2. Calculate the magnitude of the magnetic field at the distance of r- 3.4 cm in nt (nano tesla). a

The following figure presents a long hollow conducting cylinder with an inner radius of a 2.0 cm and an outer radius of b = 4.0 cm. The current direction is out of the page and it is distributed uniformly with the current density J- 10 A/m^2. Calculate the magnitude of the magnetic field at the distance of r- 3.4 cm in nt (nano tesla). a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The earth's magnetic field, with a magnetic dipole moment of 8.0 x 1022 A m², is generated by currents within the molten iron of the earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire. ▼ Part B What is the current density J in the current loop? Express your answer to two significant figures and include the appropriate units. J = Submit Part C Лоор Jwire μA Value Submit Request Answer To decide whether this is a large or a small current density, find the ratio of the current density J in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire. Express your answer using two significant figures. 17 ΑΣΦ VO Units Request Answer ? ?
a.) A wire 4 m long has a mass of 224 g. The wire is connected to an emf. What is the minimum current in the wire that would allow it to levitate above the ground in a magnetic field of magnitude0.4 T? Round your answer to 2 decimal places b.) Per previous question, what direction must the current flow?
Magnetic and electric field lines are in many ways similar, with few crucial differences. Which of the properties listed below does NOT apply to both fields? O All of these properties apply to both E and B field lines. The density of lines is proportional to the field strength in that area. Field lines never intersect. Tangent to the line at a point gives you the direction of the field as that point. O Field lines form closed loops.
Problem 5: An electric current of I= 0.55 A flows through a long, straight wire. The wire lies in the plane of a rectangular area that has a pair of sides parallel to the wire. Refer to the diagram. The distance between the wire and the nearest side of the area is c = 0.043 m and the I area's dimensions are a = 0.038 m and b = 0.089 m, as shown. a Find the magnetic flux, , in T•m², through the area. = sin() cos() tan() 8 НОМЕ cotan() asin() acos() E AL 4 5 6. atan() acotan() sinh) 1 2 3 cosh() tanh() cotanh() +| - END ODegrees O Radians VO BACKSPACE DEL CLEAR
An infinitely long, straight, cylindrical wire of radius R has a uniform current density J = Jî in cylindrical coordinates. What is the magnitude of the magnetic field at some point inside the wire at a distance r; < R from the wire's central Cross-sectional view axis? Express your answer in terms of R, r;, µo, and J. J B = Side view Assuming J is positive, what is the direction of the magnetic field at some point inside the wire? O positive z-direction negative z-direction positive r-direction negative r-direction positive p-direction negative p-direction
An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m. The current density J = 9.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 1. For r = 0.5 a, calculate the numerical value of B in Tesla. 2. Express the magnitude of the magnetic field, B, at r > a in terms of I and r. 3. Express B in terms of J, a and r. 4. For r = 2 a, calculate the numerical value of B in Tesla.
A circular closed, conducting loop of radius r is in the presence of a uniform magnetic field that points into the page, shown in the figure below. The strength of the magnetic field changes as a function of time, which is described by the following expression: B(t) = B1t? + Bo. You may assume that B1 and Bo are both positive numbers. The direction of the magnetic field stays constant. The total resistance of the conducting loop is R. Use this information to solve parts (a) - (d). Write your answers in terms of known quantities such as: r, R, B1, Bo, and t. B(t) = B,t? + Bo %3D R r (a) Write an expression for the magnetic flux through the loop, assuming that the area vector of the loop points out of the page. Is the flux increasing or decreasing over time? (b) Determine the magnitude of the induced electromotive force driven through the loop. (c) Determine the magnitude of the induced current driven through the loop. (d) In which direction does the induced current flow (clockwise or…
A solid cylindrical conductor with radius 4.50 cm carriesa current of 2.00 A. The current is uniformly distributed over the crosssectionalarea of the conductor. Find the magnitude of the magneticfield at the following distances from the conductor axis: 6.00 cm.
stable i current flows along a long straight cylindrical wire with a radius a. In the following (a) and (b) States, find the magnetic field both inside and outside the wire.A) The Current is distributed properly on the outer surface of the wire.B) the distance from the axis is S and the current is distributed in such a way that it is proportional to J=ks.
Chapter 28, Problem 020 An electron is accelerated from rest through potential difference V and then enters a region of uniform magnetic field, where it undergoes uniform circular motion. The figure gives the radius r of that motion versus V¹/2. The vertical axis scale is set by rs= 4.0 mm, and the horizontal axis scale is set by V¹/2= 32.9 V¹/2. What is the magnitude of the magnetic field? r (mm) VI/2 V¹/2 (¹/2)
Part A: You have a long straight wire, which is carrying a 4.26 A current. If you measure the magnetic field a distance 0.31 m from the wire, what is the magnetic field? Give your answer in microTesla. Part b: You have a single circular current loop, which is carrying a 4.25 A current. If the loop has a radius of 0.91 mwhat is the magnetic field? Give your answer in microTesla Part c: You have a solenoid, which is carrying a 3.19 A current. If the solenoid has 3,642 turns and is 0.15 m long, what is the magnetic field inside the solenoid? Give your answer in milli-Tesla.
A toroid with a square cross-section has an inner radius of 20 cm and an outer radius of 30 cm and consists of 800 turns. Determine the ratio of the magnetic field strength at the inner radius to the magnetic field strength at the outer radius Binner/Bouter.