Surface of wire I Find the magnetic field inside and outside a long straight wire as a function of r. long straight wire has current density of j that is proportional to $r^2$
Added by Richard L.
Close
Step 1
Since the current density is proportional to r^2, we can write the current density as j = kr^2, where k is a constant. The current flowing through a small section of the wire can be calculated by integrating the current density over the cross-sectional area of the Show more…
Show all steps
Your feedback will help us improve your experience
Penny Riley and 78 other Physics 103 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A long straight wire with circular cross section and radius R carries current with density J = ̢r where ̢ is a constant. Find the magnetic field at a distance r, outside the wire. (r > R)
Narayan H.
A steady current I flows down a long cylindrical wire of radius R with the current density proportional to the square of radius r. Find the magnetic field inside and outside the cylindrical wire.
Jacob F.
A long wire of radius R has a uniform current density J0. Find the magnetic field inside the wire where r ≤ R.
Timothy J.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD