96 Techniques of Cncuit Anatysh f-Fi$re 4.4 a ne circuit shown in Fig. 4.3 with rixunknou,n bEnch cunents defined.b - (n - 1) loops (or neshes). These obseryations also are valid in termsof essential nodes and essential branches. Thus iI we lel ne represent the number of essential nodes atrd 4 the number of essential branches wherethe current js unlno*n, we car apply Kirchhoffs current law at n. - Ioodes and Kirchhoffs voltage law around 4 - (n - 1 ) loops or meshes.In circuits, the Dumber oI essential nodes is less than or eoual to the num- ber of nodeq and the number of essential bmnches is less than or eoual tothe num ber ot branches. Th us it is ofletr conven ient to use essential nodesand essential branches when anallzing a circuit, because they produce fewer independent equations to solve. A circuit may consist of disconnected parts. An example of such a cir- cuit is examined in Problem 4.3. The statements pe aining to the numberof equations that can be derived from Kirchhoffs curent law, r
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