Using the results of given problem, develop a program to perform the analysis appearing in Example (b) for cast steel. A test routine will have to be developed to determine whether the results obtained are sufficiently close to the applied ampere-turns.

Problem

Note how closely the B-H curve of cast steel in given Figure 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 11.3, and compare the results for the current I.

EXAMPLE a

For the series magnetic circuit of Fig. example (a)

a. Find the value of I required to develop a magnetic flux of  = 4 x 10^-4 Wb.

b. Determine µ and µ_r for the material under these conditions.

EXAMPLE b

Find the magnetic flux  for the series magnetic circuit of Fig. example (b) for the specified impressed mmf.