Consider the vector ficld Co sin 0 A(r,0, ¢) – which (although irrelevant to solving this problem) corresponds to the magnetic vec- tor potential outside of a spherical solid object of uniform charge density spinning at a constant angular velocity and centered at the origin. Calculate the flux of the curl of A upwards through a flat disk of radius so and height zo above the origin (see the figure below).. 0- (a) by computing the surface integral of V × A through the disk directly. (b) by using Stokes' theorem to convert the surface integral into a line integral around the disk boundary, and then solving for that instead.

Consider the vector ficld Co sin 0 A(r,0, ¢) – which (although irrelevant to solving this problem) corresponds to the magnetic vec- tor potential outside of a spherical solid object of uniform charge density spinning at a constant angular velocity and centered at the origin. Calculate the flux of the curl of A upwards through a flat disk of radius so and height zo above the origin (see the figure below).. 0- (a) by computing the surface integral of V × A through the disk directly. (b) by using Stokes' theorem to convert the surface integral into a line integral around the disk boundary, and then solving for that instead.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

A flat, circle surface area with a radius of 4m is in the YZ-plane at x=0, Find the magnitude of the magnetic flux through this surface produced by a magnetic flux density of B=3.5ax-6.4ay+8az T
current caming loop with radins =m and %3D P5 For a current I = 2A find the moyentic flux density at %3D Point (P)on the Z-axis when r=lm (where ris the distanu from(P) to Me any Paint on the conductor ( loop) and the Conductor is placed plane). Also find the mogneticflex density when (P) is at the centeraf the loop. on the hovizontal
Q1. a) () Describe in words how you might apply Gauss's law to a closed surface to determine the free charge enclosed. Describe the two most useful Gaussian surfaces. Where are they used and what differences must be accounted for when applying them? (ii)
There are four charges, q1 = 2nC, q2 = -2nC, q3 = 1nC, and q4 = -1nC. Draw 3 Gaussian surfaces enclosing 2 of the charges where; the net flux is zero (label surface S1), the net flux is going out of the surface (label this surface S2), and finally the net flux is coming into the surface (label surface S3). q1 q2 q3 q4
A coaxial cable is carrying a uniformly distributed current of 1 A in the inner conductor and -1 A in the outer conductor. The radius of the inner conductor is 6 cm and the radius of the outer conductor is 12 cm. The magnetic field intensity at the circular path of radius 7 cm is: Select one: a. 2.65 A/m O b. 1.76 A/m O c. 1.98 A/m O d. 2.27 A/m e. None of the above
A circular disk of radius 3.3 m has a non-uniform surface charge density of p, = sin nC/m? is located at the 9p origin as shown in the figure. The net flux in "nC" through a closed surface of a cube centered at the origin that has side length of 8.6 m is Ps y Answer:
A sphere has radius of R. The sphere also has a uniform charge of 4Q. There is a point charge of -Q at sphere's center. Derive an equation for E at points where the radius is less then R.
A flat slab of dielectric, &, = 5 is placed normal to a uniform field with a flux density 2. The slab is uniformly polarized. What is the polarization P of the slab in m Coulomb/m²?
1. Uniform electric and magnetic fields are oriented at right angles and perpendicular to each other. An electron moves at right angles to both the fields and passes undeflected through the field. If the magnitude of the electric filed intensity is 2000 V/m, determine the value of magnetic flux density and magnetic field intensity (assume free space conditions).
a) Write the Biot-Savart Law for a steady current I. b) By drawing the problem, write the expression for the vectoral magnetic flux density surrounding an infinitely long wire carrying a line current of I. c) Three infinitely long, parallel wires are located at the corners of an equilateral triangle as shown in the figure below. If each wire is carrying a current of 100 A in +x direction and the constitutive parameters of the medium are ɛ, = 10, Hp = 4, 0 = 0, find the vectoral forces; i) F, wire1 ii) F2 ii) F3 Coordinate System per unit length on each wire. wire2 wire3 60° 60 Solve the question by clearly writing all steps of mathematical operations with correct notation and specifying all formulas and units. V3 mm
(4) The conducting wire shown in the adjacent figure is formed of four parts and traversed by a steady current I. R (1) 150° a) Determine the magnetic field B, created by the semi-infinite wire (1) at point O. b) Derive the magnetic field B2 created by the curved part (2) at its centre O. c) Derive the magnetic field B3 created by part (3) at the centre O. d) Deduce the magnetic field B, created by part (4) at the centre O.