15 February, 2007

Source transformation

A source transformation is the application of Thevenin's theorem to a current source, or Norton's theorem to a voltage source.

Specifically, source transformations are used to exploit the equivalence of a real current source and a real voltage source, such as a battery. Application of Thevenin's theorem and Norton's theorem gives the quantities associated with the equivalence. Specifically, suppose we have a real current source, which is an ideal current source in parallel with an impedance. If the ideal current source is rated at I amperes, and the parallel resistor has an impedance Z, then applying a source transformation gives an equivalent real voltage source, an ideal voltage source in series with an impedance. In this source, the ideal voltage source has a value equal to the ideal current source's value times the resistance contained in the real current source (I.Z). The impedance component of the real voltage source retains its real current source value. This procedure is reversible, and can be summarized by keeping two things in mind:
Ohm's Law (V=I.Z)
Impedances remain the same.

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