. For the magnetic circuit given below, the distances constituting the mean core path are given in 'k. There are three coils on the magnetic core. The magnitudes and the directions of the coil currents are given in T'. Cross-sectional area and magnetic permeability of the core are constant and uniform. Number of turns for the coils ('N') are the same. O1, P2 and P3 are the fluxes generated by currents I,, I2 and I3, respectively. a. Sketch the magnetic equivalent circuit of the core. b. Give the parametrical expression for reluctances. Give the parametrical expression for coil MMFS (Amper-Turn). d. Calculate the following ratios; $1/ ¢2 = ? 02/ P3 = ? $1/ ¢z = ? Please mind the winding and current directions for flux calculations. k/2

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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