How to prove the radius of curvature at any point on a line?

AI Thread Summary
To prove the radius of curvature at any point on a line in a magnetic field, one must evaluate the derivative dB/ds, where s is the distance along the field line. The formula for the radius of curvature is given by p = B^3 / [B x (B * del) B]. The discussion emphasizes the importance of understanding the relationship between magnetic induction B and its curvature properties. Participants are encouraged to focus on the mathematical derivation without creating multiple threads for the same question, adhering to forum policies. This approach will help clarify the concept of curvature in magnetic fields.
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How to prove the radius of curvature at any point on a line?

In a magnetic field, field lines are curves to which the magnetic induction B is everywhere tangetial. By evaluating dB/ds where s is the distance measured along a field line, prove that the radius of curvature at any point on a line is given by

p= B^3 / [ B x( B * del) B]

where do i start with this?? I have no idea what to do
 
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