Biot-Savart

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Questions - ASK.

Using Biot Savart, solve for the magnetic field at the center of a ring of current or radius R.

The current flows counter-clockwise.

1. Did you draw a current element?
   
2. Did you indicate the direction of the current element?
   
3. Did you draw the radius vector?
   
4. What direction does the radius vector point?
   
5. What's the angle between the radius vector and the current element?
   
6. What variables are constant?
7. What are the limits of integration?

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Magnetic field at the center of the ring.

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.

1. Did you draw a current element?
   
2. Did you indicate the direction of the current element?
   
3. Did you draw the radius vector?
   
4. What direction does the radius vector point?
   
5. What's the angle between the radius vector and the current element?
   
6. What's the direction of B above the center?
   
7. What's the directional relationship between B and r?
   
8. Did you resolve the B field into components?
   
9. What component contributes to the net B field?
10. What variables are constant?
11. What are the limits of integration?

For help go to - http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html#c3

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Magnetic field above the center of the ring.