Question

Transcribed Image Text:Problem9.
A current is carried by a long, cylindrical wire of radius a male of a linear dielectrical
magnetic susceptibility (see Figure 6). Assume that I is staly and uniformly distributed
(a) Find the magnitude and direction of the field #() inside and outside the cylinder, where
the radial distance from the axis of the wine
(b) Find the magnitude and direction of the magnetic field B(s) inside and outside the cylinder.
(c) Find the magnitude and direction of the surface bound current density K₂.
Figure 6
(d) Find the surface bound current f
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 3 images

Knowledge Booster
Similar questions
- Considering the magnetic field due to a long, straight wire, it is certain that A. the field is proportional to the distance from the wire to where the field is evaluatedB. the field is inversly proportional to the currentC. the field is proportional to the currentarrow_forwardConsider the magnetic field on the axis of a circular circuit in which a current I flows. Find the line integral along the axis from -o to oo. Check that B. ds = Hol %3Darrow_forwardwire P r2 ri R A hollow pipe and a current carrying wire outside of it. Drawing not to scale. The figure above shows a long hollow pipe centred at the origin, with outside radius R carrying a uniform current Io into the page. An infinitely long, straight wire runs parallel to the pipe at a distance R+rı+r2 from its center. 8. Let ri 2R, r2 R. Calculate the magnitude and direction of the current in the wire that would cause the H field at P to have the same magnitude, but opposite direction, as the resultant field at the centre of the pipe. Verify explicitly your solution by showing that, with your Iw, Ĥ(r2) = –Ħ(0).arrow_forward
- Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed when the surface magnetic field exceeds 0.100 T. In the absence of any external magnetic field, determine the maximum current a 4.64-mm-diameter niobium wire can carry and remain superconducting. A Additional Materials O eBookarrow_forwardThe figure below illustrates a cross section of 4 very long conductors carrying identical currents (11=I2=I3=I4). Initially all four wires are at a distance of d = 15 cm from the origin, point a, where they create a magnetic field Bnet: a) Sketch all B components and the resulting Bnet at the origin point a. b) Now we need to rotate Bnet by 30 degrees counterclockwise, which conductor (choose only one) should be moved along either the x or y axis? And by how much? I1 d d I4 I2 a id (X) I3 Related equations I |B| = Ho T; µo = 4t (10-7) Tm/A 2nd Directions of the above equations are determined using the right hand rule.arrow_forwardTe―a What is the magnitude of the magnetic field at point P shown below if a=3.10mm, b = 6.91mm, and the current 1=7,822A? Assume 3 significant digits and units of Tesla. Choose out of the page as positive.arrow_forward
- A long solenoid with n = 50 turns per centimeter and a radius of R = 5 cm carries a current of i = 45 mA. Find the magnetic field in the solenoid. The magnetci field, Bo = If a straight conductor is positioned along the axis of the solenoid and carries a current of 37 A, what is the magnitude of the net magnetic field at the distance R/2 from the axis of the solenoid? The net magnetic field, BNet Units HT Units HTarrow_forwardA long, straight wire of radius R carries a current a current I that is distributed uniformly over the cross-section of the wire. Write an expression for the distance from the axis of the wire,r, where the magnitude of magnetic field is a maximum.arrow_forwardPlease Help ASAP!!!!arrow_forward
- dB = The vector 7 points from the source (the current, or location S) to the location of interest (P). What is the y component of the "unit vector", in meters? Ho Idlxf 4T p2 This problem checks your understanding of the term in the equation for the magnetic field due to a small "segment" of current, Consider a small "piece" of current (perhaps in a wire) at a location $ whose coordinates are (6 m, 6 m, 7 m). We would like to find the magnetic field at a location P whose coordinates are (4 m, 2 m, 9 m).arrow_forwardDon't use chat gpt It Chatgpt means downvotearrow_forwardhelparrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios