Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Chapter 4, Problem 4.23HP
To determine
The energy stored in the inductor for all the time.
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Solve for the steady-state values of i 1 , i 2 , and i 3 for the circuit shown in FigureP4.21.
A dc source is connected to a series RLC circuit by a switch that closes at t=0, as shownin Figure P4.61. The initial conditions are i(0+)=0 and vC(0+)=0. Write the differentialequation for vC(t).Solve for v C ( t ), if R = 20 Ω.
The circuit shown in Figure P4.39 is operating in steady state with the switch closed prior to t=0. Find expressions for i L ( t ) for t<0 and for t≥0. Sketch iL(t) to scale versus time
Chapter 4 Solutions
Principles and Applications of Electrical Engineering
Ch. 4 - The current through a 0.8-H inductor is given by...Ch. 4 - For each case shown below, derive the expression...Ch. 4 - Derive the expression for the voltage across...Ch. 4 - In the circuit shown in Figure P4.4, assume R=1...Ch. 4 - Prob. 4.5HPCh. 4 - In the circuit shown in Figure P4.4, assume R=2...Ch. 4 - In the circuit shown in Figure P4.7, assume R=2...Ch. 4 - Prob. 4.8HPCh. 4 - Prob. 4.9HPCh. 4 - Prob. 4.10HP
Ch. 4 - The voltage waveform shown in Figure P4.10 is...Ch. 4 - The voltage across a 0.5-mH inductor, Plotted as a...Ch. 4 - Prob. 4.13HPCh. 4 - The current through a 16-H inductor is zero at t=0...Ch. 4 - The voltage across a generic element X has the...Ch. 4 - The plots shown in Figure P4.16 are the voltage...Ch. 4 - The plots shown in Figure P4.17 are the voltage...Ch. 4 - The plots shown in Figure P4.18 are the voltage...Ch. 4 - The plots shown in Figure P4.19 are the voltage...Ch. 4 - The voltage vL(t) across a 10-mH inductor is shown...Ch. 4 - The current through a 2-H inductor is p1otted in...Ch. 4 - Prob. 4.22HPCh. 4 - Prob. 4.23HPCh. 4 - Prob. 4.24HPCh. 4 - The voltage vC(t) across a capacitor is shown in...Ch. 4 - The voltage vL(t) across an inductor is shown in...Ch. 4 - Find the average and rms values of x(t) when:...Ch. 4 - The output voltage waveform of a controlled...Ch. 4 - Refer to Problem 4.28 and find the angle + that...Ch. 4 - Find the ratio between the average and rms value...Ch. 4 - The current through a 1- resistor is shown in...Ch. 4 - Derive the ratio between the average and rms value...Ch. 4 - Find the rms value of the current waveform shown...Ch. 4 - Determine the rms (or effective) value of...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Find the phasor form of the following functions:...Ch. 4 - Convert the following complex numbers to...Ch. 4 - Convert the rectangular factors to polar form and...Ch. 4 - Complete the following exercises in complex...Ch. 4 - Convert the following expressions to rectangular...Ch. 4 - Find v(t)=v1(t)+v2(t) where...Ch. 4 - The current through and the voltage across a...Ch. 4 - Express the sinusoidal waveform shown in Figure...Ch. 4 - Prob. 4.45HPCh. 4 - Convert the following pairs of voltage and current...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - The generalized version of Ohm’s law for impedance...Ch. 4 - Prob. 4.50HPCh. 4 - Determine the voltage v2(t) across R2 in the...Ch. 4 - Determine the frequency so that the current Ii...Ch. 4 - Prob. 4.53HPCh. 4 - Use phasor techniques to solve for the current...Ch. 4 - Use phasor techniques to solve for the voltage...Ch. 4 - Prob. 4.56HPCh. 4 - Solve for VR shown in Figure P4.57. Assume:...Ch. 4 - With reference to Problem 4.55, find the value of ...Ch. 4 - Find the current iR(t) through the resistor shown...Ch. 4 - Find vout(t) shown in Figure P4.60.Ch. 4 - Find the impedance Z shown in Figure...Ch. 4 - Find the sinusoidal steady-state output vout(t)...Ch. 4 - Determine the voltage vL(t) across the inductor...Ch. 4 - Determine the current iR(t) through the resistor...Ch. 4 - Find the frequency that causes the equivalent...Ch. 4 - a. Find the equivalent impedance Zo seen by the...Ch. 4 - A common model for a practical capacitor has...Ch. 4 - Using phasor techniques, solve for vR2 shown in...Ch. 4 - Using phasor techniques to solve for iL in the...Ch. 4 - Determine the Thévenin equivalent network seen by...Ch. 4 - Determine the Norton equivalent network seen by...Ch. 4 - Use phasor techniques to solve for iL(t) in...Ch. 4 - Use mesh analysis to determine the currents i1(t)...Ch. 4 - Prob. 4.74HPCh. 4 - Prob. 4.75HPCh. 4 - Find the Thévenin equivalent network seen by the...Ch. 4 - Prob. 4.77HPCh. 4 - Prob. 4.78HPCh. 4 - Prob. 4.79HPCh. 4 - Prob. 4.80HPCh. 4 - Use mesh analysis to find the phasor mesh current...Ch. 4 - Write the node equations required to solve for all...Ch. 4 - Determine Vo in the circuit of Figure...Ch. 4 - Prob. 4.84HP
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- i find in other explain to this that the answer is Vc+4i(x). ,,,,, but why it's not VL + Vc + 4i(x) explain the answer pleasearrow_forwardDetermine expressions for and sketch i s ( t ) to scale versus time for −0.2≤t≤1.0 s for the circuit of Figure P4.37.arrow_forwardConsider the circuit shown in Figure P4.70. a. Write the differential equation for v(t). b. Find the damping coefficient, the natural frequency, and the form of the complementary solution. c. Usually, for a sinusoidal forcing function, we try a particular solution of the form v p ( t)=A cos( 10 4 t )+B sin( 10 4 t ). Why doesn’t that work in this case? d. Find the particular solution. [Hint: Try a particular solution of the form v p ( t)=At cos( 10 4 t )+B t sin( 10 4 t ). ] e. Find the complete solution for v(t).arrow_forward
- For the circuit shown in Figure P4.29, the switch is closed for a long time prior to t=0.Find expressions for vC(t) and sketch it to scale for −80≤t≤160 ms.arrow_forwardDetermine expressions for and sketch v R ( t ) to scale versus time for the circuit of Figure P4.43. The circuit is operating in steady state with the switch closed prior to t=0. Consider the time interval −1≤t≤5 ms.arrow_forwardSubject: control Discuss the effect of adding a pole on the root locus shape , through the relative stability.arrow_forward
- Could you solve this question for me because I couldn't understand why we need to assume some values? Could you solve this question without assuming any values?arrow_forwardConsider the circuit shown in Figure T4.3.a. Write the differential equation for i(t). b. Find the time constant and the form of the complementary solution. c. Find the particular solution. d. Find the complete solution for i(t).arrow_forwardConsider the circuit shown in Figure P4.50. The initial current in the inductor is i s ( 0+)=0. Write the differential equation for i s(t) and solve. [Hint: Try a particular solution of the form i sp ( t )=A cos( 300t )+B sin( 300t ).]arrow_forward
- Determine expressions for and sketch is(t) toscale versus time for -0.2 … t … 1.0 s for thecircuit of Figure P4.37 using a differential equation.arrow_forwardConsider the circuit shown in Figure P4.55. a. Write the differential equation for v(t).b. Find the time constant and the form of the complementary solution.c. Usually, for an exponential forcing function like this, we would try a particular solution ofthe form vp(t) = K exp (−10t). Why doesn’t that work in this case?d. Find the particular solution. [Hint: Try a particular solution of the form vp(t)=K t exp (−10t). How ]e. Find the complete solution for v(t).arrow_forwardConsider the circuit shown in Figure P4.54. a. Write the differential equation for i(t). b. Find the time constant and the form of the complementary solution. c. Usually, for an exponential forcing function like this, we would try a particular solution of the form ip(t)=K exp (−3t). Why doesn’t that work in this case? d. Find the particular solution. [Hint: Try a particular solution of the form ip(t)=K t exp(−3t).] e. Find the complete solution for i(t).arrow_forward
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