By John E Whitehouse

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**Extra info for Circuit Analysis**

**Example text**

5 A and so 6i\ is 3 V. A further formal application of the principle of superposition could now be made but it is fairly evident that we have a 3 V source opposing a 5 V source with the resultant being 2 V. 3(c), the left most resistor is in parallel with the short circuit and so i\ is zero. It follows that the dependent source is dead. A dead voltage source is characterized by its internal resistance which for an ideal source is zero. The contribution to vo is 8 V and the total is therefore 10 V.

The re striction will be removed later. 5(a)). We need not enquire how the driving network develops the current, suffice to say that it is available at its terminals. 5(b)) and adjusted until the current is reduced to zero. The driving network is de livering no current and it is therefore operating as if on open circuit. The voltage at its terminals, v , is the open-circuit voltage. The voltage across the external resistor VR = iRb = 0 since i = 0. 5(c)) without affecting either of them. 1) ext making clear that the external source has been set to the open-circuit voltage of the driving network.

Its great merit is that it is very easily adapted to deal with discrete time (digital) systems, to time-varying systems and to non-linear systems. Summary Once again discussing electronic circuits in the context of their properties as phys ical systems we saw that the conservation laws for energy and charge take the spe cial form known as Kirchhoff's laws. 2 of voltages for any closed path within a network is a statement of the conservation of energy, while Kirchhoff's law for the sum of currents at any node in a network is a statement of the conservation of charge.