A-toroid-core-has-N-1200-turns-length-L-80cm-cross-section-area-A-60cm-2-current-I-1-5A-Compute-B-and-H-Assume-an-empty-core-

Question Number 147554 by jlewis last updated on 21/Jul/21

A toroid core has N = 1200 turns,

length L = 80 cm, cross - section area

A = {60 cm}^{2}, current I = 1 . 5 A .

Compute B and H . Assume an

empty core

Answered by Olaf_Thorendsen last updated on 22/Jul/21

B = \frac{μ_{0} NI}{\sqrt{L^{2} + D^{2}}} = \frac{μ_{0} NI}{\sqrt{L^{2} + \frac{4 A}{π}}}

B = \frac{4 π . 10^{- 7} \times 1200 \times 1, 5}{\sqrt{0, 8^{2} + \frac{4 \times 60 . 10^{- 4}}{π}}} \approx 2, 8 \times 10^{- 3} T

H = \frac{μ_{0} N^{2} A}{L}

H = \frac{4 π . 10^{- 7} \times 1200^{2} \times 60 . 10^{- 4}}{0, 8}

H \approx 13, 6 \times 10^{- 3} H

Commented by jlewis last updated on 22/Jul/21

hello sir, i think D^{2} should be

substituted with 4 A / π not A / π

Commented by Olaf_Thorendsen last updated on 22/Jul/21

Y o u a r e r i g h t s i r . S o r r y .

Commented by jlewis last updated on 22/Jul/21

well, thank you anyway

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