A long straight cylindrical shell has an inner radius R; and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < R;). The magnetic field is zero everywhere in the hollow region. We conclude that the wire: O is on the cylinder axis and carries current i in the same direction as the current in the shell may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell O does not carry any current

A long straight cylindrical shell has an inner radius R; and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r < R;). The magnetic field is zero everywhere in the hollow region. We conclude that the wire: O is on the cylinder axis and carries current i in the same direction as the current in the shell may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell O does not carry any current

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 arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.
Consider a thin current-carrying wire as shown in the figure on the left. The wire carries a current of 2 mA and consists of a circular part of radius 0.4 cm and a sweeping angle of 45º, and two straight portions extending to infinity in the radial direction of the circular part. (a)Using Biot-Savart law, derive an equation for the magnitude B of the magnetic field at the center of its circular portion (i.e. at point P) in terms of the known quantities of the problem and indicate its direction. (b) Then, use this formula to find a numerical result for B.
Two thin circular wires, each with radius a, carry equal currents I but in opposite directions. They are placed so that their centers are at z = ±a/2 and the plane of each loop is parallel to the xy- plane. Find the magnetic field at a point (0, 0, 2) on the symmetry axis. What is the magnetic dipole moment of the system? Expand B(z) for z ≫ a keeping the lowest order term in a/z.
Does the absolute value of the line integral of the magnetic field of the flat segment increase, decrease, or remain the same when the second wire is added and why
A loop in the form of an equilateral triangle with side L is in the first quadrant of the xy plane with one of the vertices at the origin and one of the sides on the x axis. Obtain the magnetic force on each side of the triangle if a current I passes through the loop and the applied magnetic field is given by Bo = (Box)i + (Bo)k, with Bo> 0. What is the total force on the loop? Obs: the magnetic field it's not defined in j.
A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at r< a, a<r<b, b<r<c, and c<r.
A particle of mass m, charge q and position x moves in a constant, uniform magnetic field B which points in a horizontal direction. The particle is also under the influence of gravity, g , acting vertically downwards. Write down the equation of motion and show that it is invariant under translations x -> x + x0. Obtain x = \alpha x \times n + gt + a where \alpha = qB/m, n is a unit vector in the direction of B and a is a constant vector. Show that, with a suitable choice of origin, a can be written in the form a = an. By choosing suitable axes, show that the particle undergoes a helical motion with a constant horizontal drift. Suppose that you now wish to eliminate the drift by imposing a uniform electric field E. Determine the direction and magnitude of E. Training
Question A5 Consider an infinitely large sheet lying in the zz-plane at the origin, the extent of the sheet in the x, and z direction is infinite. The sheet carries surface current J = Jok, where Jo is the current per unit width perpendicular to the flow. Calculate the magnetic field everywhere (y > 0 and y < 0) due to J. Sketch the Amperian loop.
function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)
An infinite rectangular slab of thickness 2d is situated parallel to the x-y plane, with its center at z = 0. Its upper surface is situated at z = d, and its lower surface is at z = -d. The material is uniformly magnetized given by M = Moi, and there are no free currents everywhere. Solve for the magnetic field outside and inside the slab. Verify this by relating it to the auxiliary field given by Ā 1B-M. μο Hint: There is no magnetization outside the slab.
A rectangular wire loop of height h, width w, and net electrical resistance R lies in the x-y plane. As shown in the figure below, the entire region x < 0 of space is occupied by a constant, uniform magnetic field which points in the –z direction (into the page). In order to determine the magnitude of this field, a student pulls the wire loop out of the magnetic field region at a constant velocity v in the +x-direction, and measures the current I induced in the loop during this process. I = 17 μAR = 35 ohmsh = 3 cm w = 8 cmv = 2 cm/sec a) What is the direction of the current induced in the wire loop? b)What is the magnitude B of the magnetic field?
An electron and a proton, both with the same initial velocity, v, enter a region with a uniform magnetic field B out of the page, as shown. Each one undergoes semi-circular motion in the field and exits the field some distance d from the entry point. (The diagram shows the path for just one of the two particles.) Consider the following two statements and decide if they are true or false. i) The particle shown in the picture must be the negative one (the electron). ii) The distance "d" for the proton will be greater than "d " for the electron. В d. (shot with same v) i is true, but ii is false Both i and ii are false i is false, but ii is true Both i and ii are true