A toroidal core has a square cross section, 2 5 cm 3 5 cm, 0 5 cm z 0 5 cm The upper half of the toroid, 0 z 0 5 cm, is constructed of a linear material for which r 10, while the lower half, 0 5 cm z 0, has r 20 An mmf of 150 A t establishes a flux in the a direction For z 0, find (a) H () (b) B () (c) z 0 (d) Repeat for z 0 (e) Find total

Question: A toroidal core has a square cross section, 2.5 cm < < 3.5 cm, 0.5 cm < z < 0.5 cm. The upper half

A toroidal core has a square cross section, 2.5 cm < ρ < 3.5 cm, −0.5 cm < z < 0.5 cm. The upper half of the toroid, 0 < z < 0.5 cm, is constructed of a linear material for which μ_r = 10, while the lower half, −0.5 cm < z < 0, has μ_r = 20. An mmf of 150 A· t establishes a flux in the a_ϕ direction. For z > 0, find:

(a) H_ϕ(ρ);

(b) B_ϕ(ρ);

(d) Repeat for z > 0.

(e) Find total.

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