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1.2 Toroidal magnetic field

Next, let’s examine the toroidal component Bϕ. Equation (3) indicates that Bϕ involves both AR and AZ, which means that using the potential form does not enable useful simplification for Bϕ. Therfore we will directly use Bϕ. Define g ≡ RBϕ(R,Z), (the reason that we define this quantity will become apparent when we discuss the forece balance equation) then the toroidal magnetic field is written

g Bϕ = Bϕϕˆ= Rˆϕ = g∇ ϕ.
(9)

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