Habibullah Tegey's A Reference Grammar of Pashto. Pashto PDF

By Habibullah Tegey

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15 where the Thevenin and Norton equivalents of the battery and their duals are shown. A mesh equation may be written for each Thevenin equivalent by introducing a short circuit at the output terminals. The duals of the mesh equations are the node equations for the Norton equivalents where the open circuits at the output terminals are the duals of the short circuits introduced for the Thevenin circuits. In more complicated situations, graph theory, introduced in the last chapter, is indispensable in obtaining the dual network.

The reduction to a single current source and a single resistor is Norton's theorem. Each as we shall see provides a template for the application of the prin­ ciple of superposition. While, as just indicated, either may be obtained largely as a matter of common sense, we gain great insight into their application by proving them, which we do for Thevenin's theorem as follows. First we partition the total network into the section for which we require the equivalent circuit and the section external to this, for which we wish to find the voltage difference.

7d) Any one of these equations, or all collectively, may be taken to be a statement of Tellegen's theorem. 7). The result shows that there is no net power dissipation in the network, that is, the energy delivered by the sources at each instant is consumed, possibly to be stored, by the components. For the last statement to remain true we require the simultaneous conservation of both energy and charge, as expressed separately in Kirchhoff's laws. Tellegen's theorem may therefore be interpreted as a joint statement of KVL and KCL for a single network.

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A Reference Grammar of Pashto. Pashto by Habibullah Tegey

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