Electrical Engineering: Principles & Applications (7th Edition)

Chapter 4

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; Use the relation to find time constant for ... more

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; The expression for capacitor voltage is known... more

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; At , inductor L will be in short circuit ... more

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; Before , switch is closed. So, the resistance ... more

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; Apply KVL in the loop after the switch is ... more

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; Use the relation to find current i(t):Use the ... more

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MATLAB codes for producing the plot are given ... more

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MATLAB codes for plotting the solution of ... more

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The time constant is .And to attain the large time... more

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; The voltage source is connected in series with... more

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; At , the switch is closed and the current ... more

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; The initial voltage across the capacitor is The... more

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; Replace the voltmeter with the internal ... more

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; Realize a series circuit. At the voltage ... more

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; Realize a series circuit. The expression for ... more

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Plot of versus time is given below. ; Values of ... more

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; Initial voltage across the capacitor is given ... more

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; A capacitor is initially charged to . It is in... more

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; Consider that is the initial purchasing power... more

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; Use the nodal analysis to find the solution for... more

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; The initial voltage is given by:At , the switch... more

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; Calculate the voltage across the resistor. ; ... more

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; Use the relation to find time constant : ; Use ... more

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; Values of resistance and capacitance are given ... more

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For performing dc steady-state analysis, the first... more

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Current through the capacitor is zero and voltage ... more

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; Since the capacitor will act as an open circuit... more

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; Use the relation to calculate equivalent ... more

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; Apply voltage division to find capacitor ... more

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; Use the relation to find voltage for and do ... more

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; The capacitor will act as an open circuit and ... more

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; The capacitor will act as an open circuit. ... more

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; Since the capacitor will act as an open circuit... more

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for just before . for time long after .Plot of ... more

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Let be the capacitor voltage.For circuit is ... more

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Let be the voltage across the capacitor, For , by... more

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The time constant is .And to attain the large time... more

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The general expression for the voltage or current ... more

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; Initially, for , the switch is closed and no ... more

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Its given that From the circuit diagram we can see... more

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Its given that From the circuit diagram we can see... more

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; Realize a simple series circuit. Assume that ... more

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As the initial inductor current is 0, so it acts ... more

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From the circuit diagram It can be seen that    ... more

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For the switch is closed, so in the steady state ... more

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; For the switch was closed, so the current ... more

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; For the switch is closed, so in steady state ... more

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The steps in solving a circuit are:1. Write the ... more

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; Realize the circuit for and apply KVL to ... more

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; At , the switch in the circuit is closed for a ... more

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The value of initial energy stored in the inductor... more

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; Apply Kirchhoff's voltage law to find ... more

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; Apply Kirchhoff's voltage law to find ... more

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; Assuming a particular integral , find constants... more

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; Use the relation to find constants and : ; Use... more

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If there is one energy storage element present, ... more

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Under dampedRoots are imaginaryCritically ... more

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; A unit step function is one whose magnitude is ... more

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Method 1: Assume that the particular solution is ... more

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step response of a second order system is given by... more

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; Use the relation to find and substitute the ... more

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; Realize the given circuit. Apply KVL when the ... more

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; Realize the given circuit. Apply KVL when the ... more

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; Realize the circuit by closing the switch. ... more

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; Realize the circuit by closing the switch. ... more

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; The initial current through the inductor is .... more

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; At , the switch is open. The inductor acts as a... more

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; The initial current through the inductor is .... more

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MATLAB codes for plotting   versus are given ... more

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MATLAB codes for plotting versus time are given ... more

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MATLAB codes for solving the differential equation... more

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MATLAB codes for solving differential equation in ... more

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; For , the switch is closed and the capacitor is... more

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; Calculate the value of time constant by using ... more

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