Note how closely the B-H curve of cast steel in Fig. 1 matches the curve for the voltage across a capacitor as it charges from zero volts to its final value.
a. Using the equation for the charging voltage as a guide, write an equation for B as a function of H [B = f(H)] for cast steel.
b. Test the resulting equation at H = 900 At/m, 1800 At/m, and 2700 At/m.
c. Using the equation of part (a), derive an equation for H in terms of B[H = f(B)].
d. Test the resulting equation at B = 1 T and B = 1.4 T.
e. Using the result of part (c), perform the analysis of Example 12.1, and compare the results for the current I.
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