1-13. A core with three legs is shown in Figure P1-10. Its depth is 5 cm, and there are 40...

1-13. A core with three legs is shown in Figure P1-10. Its depth is 5 cm, and there are 400 turns on the center leg. The remaining dimensions are shown in the figure. The core is composed of a steel having the magnetization curve shown in Figure 1-10c. Answer the following questions about this core:

(a) What current is required to produce a flux density of 0.5 T in the central leg of the core?

(b) What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)?

(c) What are the reluctances of the central and right legs of the core under the conditions in part (a)?

(d) What are the reluctances of the central and right legs of the core under the conditions in part (b)?

(e) What conclusion can you make about reluctances in real magnetic cores?