## Networks and systems |

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### Contents

MATHEMATICAL REPRESENTATION OF ELECTRIC NETWORKS | 1 |

FORMULATION TECHNIQUES FOR ANALYTICAL SOLUTIONS | 28 |

ANALYTICAL SOLUTIONS OF THE NETWORK EQUATIONS | 76 |

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### Common terms and phrases

algebraic elements analog computer associated augmented matrix branch currents branch equations branch voltages branch-chord equations chord currents chord equations chord voltages circuit and cut-set coefficient matrix coforest column matrix connected contains current drivers cut-set equations derivatives driving functions electric networks elements corresponding entries equivalent networks Example exponential formulation forest Fourier series frequency fundamental circuit equations given network graph of Fig hydraulic initial conditions input linear magnitude and phase measurements meter method multiterminal components network equations network of Fig nonlinear odd function open-circuit oriented output parameters phase characteristics procedure result Section shown in Fig simple network sinusoidal solve steady-state solution subgraph subnetworks substitution system graph terminal equations terminal graph terminal relations terminal representations Theorem three-terminal tions transfer function transient transistor triple product two-port representation two-terminal component two-terminal representation vacuum tube variables vertex Vi(s voltage and current voltage drivers write zero