(a) Show that a force-free magnetic field satisfies the relation (b) Let x B = (r)...
Question:
(a) Show that a force-free magnetic field satisfies the relation
(b) Let ∇ x B = α(r) Band show that
(c) Verify that the surfaces α = constant are made up of magnetic field lines.
(d) Show that α(r), as defined in part (b), for the force-free field, can be expressed as
(e) Prove that for the force-free field ∇B lies on the osculating plane, that is, the plane containing B and the principal normal to the field line.
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To address each part of the question Ill provide stepbystep explanations and derivations a In a forcefree magnetic field the Lorentz force qE qv x B e...View the full answer
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