Nonuniform displacement-current density. The figure shows a circular region of radius R = 5.0 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Ja= (9 A/m²)(1-r/R), wherer is the radial distance (rs R). What is the magnitude of the magnetic field due to the displacement current at (a) r = 2.5 cm and (b) r= 6.5 cm? R

Nonuniform displacement-current density. The figure shows a circular region of radius R = 5.0 cm in which a displacement current is directed out of the page. The magnitude of the density of this displacement current is given by Ja= (9 A/m²)(1-r/R), wherer is the radial distance (rs R). What is the magnitude of the magnetic field due to the displacement current at (a) r = 2.5 cm and (b) r= 6.5 cm? R

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: Electromagnetic Waves

Section: Chapter Questions

Problem 34.1P

See similar textbooks

Similar questions

A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field is measured to be 1.5103V/m (a) What is the drift speed of the conduction electrons? (b) Assuming that n =8.01028 elections per cubic meter and that the cross-sectional area of the strip is 5.0106m2 , calculate the current in the ship, (c) What is the Hall coefficient 1/nq?
A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.
Is B constant in magnitude for points that lie on a magnetic field line?
The magnetic field between the poles of a horseshoe electromagnet is uniform and has a cylindrical symmetry about an axis from the middle of the South Pole to the middle of the North Pole. The magnitude of the magnetic field changes as a rate of dB/dt due to the changing current through the electromagnet, Determine the electric field at a distance r from the center.
A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?
An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)
At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?
A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n from the axis of the conductor, as shown in the accompanying figure. The current density in the conductor is given by J=J0k, where J0 is a constant and k is along the axis of the conductor. Calculate the magnetic field at an arbitrary point P in the cavity by superimposing the field of a solid cylindrical conductor with radius R1and current density Jonto the field of a solid cylindrical conductor with radius R2and current density J . Then use the fact that the appropriate azimuthal unit vectors can be expressed as 1=kr1and 2=kr2 to show that everywhere inside the cavity the magnetic field is given by the constant B=120J0ka , where a=r1r2 and r1=r1r1 is the position of P relative to the center of the conductor and r2=r2r2 is the position of P relative to the center of the cavity.
Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a rectangular area with one side parallel to the wire and at a distance 0.043 m away from the wire. Let the dimensions of the rectangle be a 0.024 m and b-0.057 m Part (a) Express the magnitude of the magnetic field generated by the wire B at a distance r in terms of I and r. B(r) Но 4 5 6 BACKSPAC CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback. Part (b) Express the magnetic flux, ф, in the rectangle as an integral of B(r) A Part (c) Integrate the expression in part (b) 圖 Part (d) Calculate the numerical value of φ in T-m2.
I = 14 A current flows through an infinitely long twisted wire (red). H = Hxux + Hyuy + Hzuz Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-2, -4,0-) of the vector magnetic field H [A / m] in terms of the given magnitudes (in the half-space z <0)).
An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J. Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla. I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!
A metal cube with sides of length a is moving at velocity v=voj across a uniform magnetic field B = Bok. The cube is oriented so that four of its edges are parallel to its direction of motion (i.e., the normal vector of two faces are parallel to the direction of motion). (Figure 1) Figure Bo N 1 of 1 Vo Part A Find E, the electric field inside the cube. Express the electric field in terms of vo, Bo, and unit vectors (i, j, and/or k). E = Submit Part B V ΑΣΦ -î Request Answer Now, instead of electrons, suppose that the free charges have positive charge q. Examples include "holes" in semiconductors and positive ions in liquids, each of which act as "conductors" for their free charges. www. J? If one replaces the conducting cube with one that has positive charge carriers, in what direction does the induced electric field point? Submit Request Answer