By Norman Balabanian, Theodore Bickart
Linear community thought: research, homes, layout and Synthesis, unique challenging hide released 1981
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Extra resources for Linear Network Analysis
Example text
We refer to it as a frequency normalization. Another useful normalizing device involves amplitude. Note that if all resistance, inductance, and reciprocal capacitance values in a network are divided by a constant Ro, then the current in each branch of the network in response to a voltage excitation will be multiplied by that same constant. But this is simply a change in scale. Such a procedure is referred to as impedance normalization. Numerical computation can be considerably simplified by use of fre quency and impedance normalization.
Our viewpoint is that we are establishing a model. We are free to choose the components of our model and endow them with any characteristics we like. The only test of the model is its ability to describe and predict phenomena in the physical world. Our justification, then, must be our ability to corrob orate experimentally the results of our assumption. * We have stated that the mutual inductance is a measure of the voltage that can be produced at one pair of terminals of a transformer by a current variation in the other pair.
We will get 2 (18) We have still not used the perfect transformer condition of Eq. (14). If we do so, and rearrange terms, we will get (19) This equation is to be compared with the first one in Eqs. (15). Two differences are noted: first the appearance of the initial values of the currents, and second, the appearance of the term involving a voltage. The first of these is not serious. The major difference between an ideal transformer and a perfect transformer is in the appearance of the middle term on the right side of Eq.