Question

Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical...

Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical wire of radius R on the z-axis. Inside the wire, current density is given by ? (?) = ?0 (1 − (3?)/(2?) ) ?̂

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Please UpVote.otherwise, just comment on the problem/confusion, I will get back to you asap.

Add a comment
Know the answer?
Add Answer to:
Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical...

    Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical wire of radius R on the z-axis. Inside the wire, current density is given by ? (?) = ?0 (1 − (3?)/(2?) ) ?̂ and Use Ampere’s Law in differential form by taking the curl of the answer above and solving for the current density. Do you get the same current density back again?

  • 4. A steady current I flows down a long cylindrical wire of radius a. (a) Find...

    4. A steady current I flows down a long cylindrical wire of radius a. (a) Find the magnetic field, both inside and outside the wire, if the current is uniformly dis- tributed over the outside surface of the wire. (b) Find the magnetic field, both inside and outside the wire, if the current is distributed in such a way that the current density J is proportional to s2, where s is the distance from the axis. (c) Show that your answers to (a)...

  • (2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a...

    (2) Use Ampere’s Law to find the magnetic field (a) inside and (b) outside of a long straight cylinder of current with current density J and radius R. Remember that J = I/A. When indicating the direction, describe it as clockwise or counterclockwise when looking at the wire with the current going away from you.

  • An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using...

    An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...

  • Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an i...

    Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each...

  • The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is...

    The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 390 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c) r=4.0 mm from the center. Chapter 29, Problem 047 The current density inside a lon ,...

  • The current density inside a long, solid, cylindrical wire of radius a = 4.8 mm is...

    The current density inside a long, solid, cylindrical wire of radius a = 4.8 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 330 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 3.2 mm and (c) r=4.8 mm from the center.

  • The current density inside a long, solid, cylindrical wire of radius a = 2.6 mm is...

    The current density inside a long, solid, cylindrical wire of radius a = 2.6 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 410 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 1.3 mm and (c) r=2.6 mm from the center. Please explain your steps/solution.

  • A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2)...

    A long, cylindrical wire of radius R has a current density J(r) = Jo(1 – r2/R2) for distances where r < R and J(r) = 0 for r < R where r is the distance from the center of the wire’s axis. Find the magnetic field strength inside (r < R) and outside (r > R) the wire. Sketch the magnetic field strength as a function of distance r from r = 0 to r = 2R. Find the location...

  • A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and...

    A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and outside the wire. If the current is 30 kA, what is the field in T at a distance of 1 m?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT