Transformer emf, symbolic integration and differentiation. An infinitely long str...

Transformer emf, symbolic integration and differentiation.

An infinitely long straight wire carries a time-varying current of intensity i(t). A rectangular contour of side lengths a and b lies in the same plane with the wire, with two sides parallel to it, as shown in Fig.6.2. The distance between the wire and the closer parallel side of the contour is c. The emf induced in the contour can be found from Eq.(6.1), with the magnetic flux through the contour being computed by integrating the magnetic flux density produced by the current in the wire, given by Eq.(4.10), across the flat surface spanned over the contour (Fig.6.2), namely,

Reference: Equation-6.1