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Is Magnetic Force Conservative or non conservative in nature?

Is Magnetic Force Conservative or non conservative in nature?

Grade:12

2 Answers

Arun
25757 Points
3 years ago
forcefield is conservative, if its rotor vanishes, in your case that would mean that:
 
rot(B) = 0.
 
if you look at Maxwell's equations, it holds that: rot(B) = µ_0*j + µ0*e0*dE/dt
(where µ0 ... magnetic constant, e0 ... vacuum permittivity, dE/dt ... in this case the PARTIAL derivative of your electrical field, j ... your current density).
 
So, I would say, no, the magnetic force field is in general not conservative
Vikas TU
14149 Points
3 years ago
 If a magnetic field is changing, then it generates an electric field according to Faraday's law of induction, and that magnetically generated electric field will run in closed paths and be non-conservative (unlike electric fields generated from static charges).
The magnetic field itself is neither conservative nor non-conservative. Magnetic field lines do go in closed paths

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