Consider the magnetic circuit shown in Figure 1 below. The material is steel, and the magnetization curve is shown in Figure 2. The flux density in the air gap is 0.5 [Wb/m²]. Find the current I needed to produce the flux. 1000 turns 10 cm Figure 1: 0.5 cm eter) B(webers per square 1.0 0.8 0.6 0.4 0.2 0 2000 4000 6000 8000 H(amperes per meter) Figure 2: 10,000

A flux of 0.0016 Wb flows in a silicon sheet steel coil/core. The arrangement appears as shown below with the following dimensions: Ac = 0.0025 m? Core/gap area: Flux path length: le = 0.350 m lg = 0.0015 m N = 500 Air gap length: Number of turns: %3D A. What is the current, I, through the winding? B. What is the energy stored in the inductance? C. Assume that the current is given by i =9.75 sin (3147) A. What is the RMS voltage that would appear across the winding? D. Assume that the gap is removed from the arrangement with the flux path remaining at 0.350 m. For a flux of 0.0016 Wb, what is the inductance of the arrangement? E. What is the energy stored in the inductance with the gap removed?

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