Biot-Savart
Ring of Current
STOP and READ
Scroll SLOWLY.
Reveal ONLY what you need to progress through the derivation.
Questions - ASK.
Part 1 - AT the Center
Using Biot Savart, solve for the magnetic field at the center of a ring of current or radius R.
The current flows counter-clockwise.
Questions
- Did you draw a current element?
- Did you indicate the direction of the current element?
- Did you draw the radius vector?
- What direction does the radius vector point?
- What's the angle between the radius vector and the current element?
- What variables are constant?
- What are the limits of integration?
Scroll to see the answer.
Magnetic field at the center of the ring.
Part 2 - ABOVE the Center
Using Biot-Savart, solve for the magnetic field ABOVE the center of the ring of current of radius R.
Draw a 3D sketch - The ring lies in the yz plane.
Attempt the sketch. Scroll down for a picture of the ring.
The current flow counterclockwise.
Questions
- Did you draw a current element?
- Did you indicate the direction of the current element?
- Did you draw the radius vector?
- What direction does the radius vector point?
- What's the angle between the radius vector and the current element?
- What's the direction of B above the center?
- What's the directional relationship between B and r?
- Did you resolve the B field into components?
- What component contributes to the net B field?
- What variables are constant?
- What are the limits of integration?
For help go to - http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c3
Scroll to see the answer.
Magnetic field above the center of the ring.
David Carroll
www.GravityKills.net