Introduction to Laplace Transforms for Radio and Electronic Engineers |
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Page 6
... impedance for the same I and V ) being a generalization of conductance . Once the con- cepts of impedance and admittance have been grasped and under- stood , the d.c. case is seen to be a special case of Equations 21 or 22 with the ...
... impedance for the same I and V ) being a generalization of conductance . Once the con- cepts of impedance and admittance have been grasped and under- stood , the d.c. case is seen to be a special case of Equations 21 or 22 with the ...
Page 8
... impedance , and secondly the point that we have changed the fundamental variable from time to frequency . It is probable that the full implications of these points are not generally understood , so we will look at them in greater detail ...
... impedance , and secondly the point that we have changed the fundamental variable from time to frequency . It is probable that the full implications of these points are not generally understood , so we will look at them in greater detail ...
Page 34
... impedance ( 2 ) A mental picture of this relationship may take the form shown in Fig . 3.1.1 , which illustrates a further extension of Ohm's Law . Z ( p ) is the generalized impedance , or p - impedance , and can be written down easily ...
... impedance ( 2 ) A mental picture of this relationship may take the form shown in Fig . 3.1.1 , which illustrates a further extension of Ohm's Law . Z ( p ) is the generalized impedance , or p - impedance , and can be written down easily ...
Contents
The Laplace Transformation | 14 |
Properties of Transforms 333 | 33 |
Further Theorems | 50 |
Copyright | |
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Common terms and phrases
a₁ algebraic amplitude analytic analytic function approaches zero branch point C₁ C₂ capacitor chapter circuit problems closed contour coefficients complex variable contour integral cosh currents and voltages definition denominator derivative diagram differential equations e-ap e-Kat e-pt Equation 13 error functions essential singularity Example F(jw Fourier frequency given gives Heaviside impedance impulsive response indicial response infinite input integral round inverse transform Inversion theorem Jordan's Lemma Laplace transform Laurent series limit linear mathematical method obtain Ohm's Law Operational Mathematics output partial fractions pulse R₁ reader real variable residues result SABC Shifting theorem shown in Fig simple poles singularity sinh sinusoidal solution solve steady-state system function Table term tion TRANSFORM OF y(t transformed equation unit step variable theory voltage z-plane δν ди