We add the following perturbation to the baseline field of Eq. 6 without any component. AB=0, AB=-az, AB₁ = -ay (8) (a) After adding the perturbation, express the new magnetic field B' in the Cartesian coor- dinates. (b) Show that for any field line, o' is constant where o' is defined by tan o' y-a (9) I Eq. 6 is the following: B = (Br, Bo, Bz) = (rz, 0, 1-2r2 - z²)
We add the following perturbation to the baseline field of Eq. 6 without any component. AB=0, AB=-az, AB₁ = -ay (8) (a) After adding the perturbation, express the new magnetic field B' in the Cartesian coor- dinates. (b) Show that for any field line, o' is constant where o' is defined by tan o' y-a (9) I Eq. 6 is the following: B = (Br, Bo, Bz) = (rz, 0, 1-2r2 - z²)
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Transcribed Image Text:We add the following perturbation to the baseline field of Eq. 6 without any component.
AB=0, AB=-az, AB₁ = -ay
(8)
(a) After adding the perturbation, express the new magnetic field B' in the Cartesian coor-
dinates.
(b) Show that for any field line, o' is constant where o' is defined by
tan o'
y-a
(9)
I
Eq. 6 is the following: B = (Br, Bo, Bz) = (rz, 0, 1-2r2 - z²)
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