1) An inductive coil can be examined by use of computational approaches. For computing the inductance, we need to consider the surrounding air and the magnetic core materials together. In this technique, the air domain around is discretized by meshes called as finite volumes. The figure on right shows this mesh structure around the inductive coil. We need to calculate the magnetic flux across one of the control volumes which is given by the following figure. The vector field (magnetic field) around this finite volume is given by, F = (xi + cos y)i + (ešinx + 5yx)j + (ln xy + 8xz)k Normally “flux" across the surface of closed volumes can be calculated by “surface integrals". However, if such an integral gives you trouble, you can think about using one of the following theorems; • Stokes' theorem The control volume for the magnetic flux calculation in an air domain including a coil surrounding a magnetic core. • Divergence theorem of Gauss a) If you intend to use one of the theorems, indicate clearly which theorem you want to use. b) Calculate the magnetic flux across the given control volume. 2.

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