For a linear time-invariant (LTI) system shown below, find the transient and forced response of inductor current91 (t) to the inputs r(t) = 5e-5t. Assume the initial inductor current is 1A and initial capacitor voltage is 5V.1 Hx(t)91 (t)3 Ω+92(1)

Answered: Image /qna-images/answer/5af286f2-952e-4c40-ae63-404c2b2e361b.jpg

For a linear time-invariant (LTI) system shown below, find the transient and forced response of inductor current 5e-5t. Assume the initial inductor current is 1A and initial capacitor voltage is 5V. 91 (t) to the inputs r(t): 1 H = x(t) 91 (t) M 3 Ω -la F + 92(1)

For a linear time-invariant (LTI) system shown below, find the transient and forced response of inductor current 5e-5t. Assume the initial inductor current is 1A and initial capacitor voltage is 5V. 91 (t) to the inputs r(t): 1 H = x(t) 91 (t) M 3 Ω -la F + 92(1)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Draw the following 4 signals where A = 2 and ff = 10 Hz Please select time scale from -0.1 to 0.1…

A: We need to draw the following signals where A=2 and fF=10 Hz and need to use time scale from -0.1 to…

Q: Problem eight. Given the following characteristic equation. Sketch the root locus. 1+ KS(S+4)…

A: In this question we need to draw a root locus of the given characteristics equation

Q: Type your answer in the box. The transient voltage response of a source-free RC circuit is reflected…

A: Time constant will decide the voltage response of the source free RC circuit.

Q: Find the charge on the capacitor in an LRC-series circuit when L == h, R = 10 , C = 0.01 f, E(t) =…

A: a) To find the charge on the capacitor in an LRC-series circuit. when L=12h, R= 10 Ω, C= 0.01 f,…

Q: before it moves the following: 50 100 1H 1 F 20 2A(T 100 20v 50 HH

A: We need to find out time constant for the given circuit

Q: Consider a parallel RLC circuit having a resistor of 6N, an inductance of 10mH and a capacitance of…

A: From characteristic equation of the parallel RLC we will find roots of the characteristic equation.…

Q: Using a suitable RL circuit diagram, show that I(t) = le¯(t/t) for a discharging inductor.

Q: Solve for v(t) in the following integro-differential equation using the phasor method and write the…

A: Introduction: Phasor method: A phasor method is a mathematical tool used to analyze and represent…

Q: In a source free RLC circuit, R=42 Ohm and L=0.7 Henry. Which of the following statements is true?…

A: Given data, R = 42 Ω. L = 0.7 H. Conditions, (i) Overdamped R>2LC (ii) Critically damped R=2LC

Q: Find the steady-state charge qo(t) and the steady-state current i(t) in an LRC-series circuit when L…

Q: The input to the circuit shown in the following figure is the voltage of the voltage source vs (t) =…

Q: Consider the following circuit. In the circuit R1=122, R2=82, L=0.25H. R1 1) Vin (t) L vo(t) R2…

Q: 1 (a) (i) Find f(t) for F(s) : (s+4)* (ii) Find F(s) for f(t) = sin 2t. sin 3t Hint: cos(A-B) -…

Q: An inductor is connected to two voltage sources of DIFFERENT frequencies. Which of the following is…

A: Given:A circuit, To find:We have to find the correct options from the given options for steady state…

Q: is given The initial capacitor voltage, and equal to Vc (0) = 10V. Determine and sketch vc (t) for…

Q: L max the frequency (in hertz) of the resulting ocillations. 77 HZ = 1.00 ms, find the charge on the…

A: Solution- At t=0 charge on capacitor, qmax= q0 = 170μCL=95 mHC=11μFLC= 95×10-3×11×10-6 =…

Q: In a series RLC circuit where R=10 ohm , L=0.10 H and C = 20 uF, the applied voltage is 100 V. If…

Q: Find and plot the capacitor voltage of the RC circuit shown. Specify the time constant, rise time,…

Q: Find translent and transient and Steady state characteristios 9(St3) 2,5 95+27 A. B. not required X

Q: Steady-state has been establish at t = 0-. Determine the discharge rates of the capacitor dvC(0+)/dt…

Q: The "power cube" transformer for a portable CD player has an output of 5.7 V and 550 mA (both rms)…

A: Given, A power cube transformer has Secondary voltage, V2=5.7 V Secondary current, I2=550 mA Primary…

Q: g(t) = 8sin (20t) + 8cos (4t) Find the fundamental period and fundamental frequency of g(). The…

Q: g(t) 28 + 40cos (60at) %3D Find the fundamental period of g(). The fundamental period of g(t) is ms.

A: In this question we will find time period of signal...

Q: use step functions to construct an equation that describes the waveform sketched in figure 7 f(1)

A: Any time-domain signal can be sinusoidal, DC signal, or any curve signal. Sinusoidal signals are…

Q: For the given circuit, (a) what is the inductance and (b) the solution form of V5(t)?

A: The given circuit and the waveform is as shown below,

Q: During the transient analysis of an RL circuit, if the current through an inductor is 1.5 A at t =…

A: The current through the inductor cannot change instantaneously. So the current at t =0 sec will be…

Q: I fe-4t cos(nt) 8 (4t-1)dt -8

Q: When the following current is applied to the capacitor, (a) Induce the voltage expression of the…

Q: Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions…

A: It is given that:

Q: 16. 7.16 What percentage of the initial energy stored in the inductor in thecircuit is dissipated…

A: At t =0 switch closed, circuit is in stead state, Inductor behave as short circuit

Q: A capacitor in an RC circuit with R = 2 Ω and C = 1.6 F is being charged. The time required for the…

Q: During the transient analysis of an RL circuit, if the current through an inductor is 1.5 A at t =…

A: In this question we will write about inductor current at infinity in RL circuit...

Q: A current impulse of 58(t) is forced through a capacitor C. The voltage Vc(t) across the capacitor…

Q: Steady-state has been establish at t = 0-. Determine the discharge rates of the capacitor dvC(0+)/dt…

Q: RIS), s42,85+4 2.e S+2

Q: The circuit below is at steady state before the switch closes att = 0. Find the voltage across the…

A: The solution is given below

Q: If in an RC circuit, the capacitance is increased by 25% and the resistance, R, is decreased by 10%,…

Q: 4. Assume we have a series RILC circuit. In each figure below, sketch the transient response between…

Q: The impedance for a capacitor C is: Select one: O ооо a. 1/(SC) b. (SC) F c. 1/(SC) F d. (SC) 22

A: Given that, capacitor C Impedance of the capacitor Zc =?

Q: Discrete time signalx(n) for y(t = 3.cos(500nt

Q: for the circuit in in the Figure, : 1.Determine the approximate values of Iin_______ μA…

A: For ideal opamp voltage at the inverting terminal is same as voltage at the non inverting terminals…

Q: The compensator circuit (passive if possible) will be made, which is given the function at the…

Question

For a linear time-invariant (LTI) system shown below, find the transient and forced response of inductor current
91 (t) to the inputs r(t) = 5e-5t. Assume the initial inductor current is 1A and initial capacitor voltage is 5V.
1 H
x(t)
91 (t)
3 Ω
+
92(1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Different Types of System and Its Property

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Find iL
For the circuit shown below, which of the following is equal to the current ic(t) flowing through the capacitor at time t < 0?
The capacitor voltage in the circuit below is given by v(t) = 12 – 10e 2t v for t>0 Determine i(t) for t>0. Lile) 82 4 A + 12 2 1 vlt) - F 40
Please answer ASAP for like.. please fast...
Obtain the following a.) exponential frequency b.) rise time c.) time constant d.) settling time. R(s) C(s) s+ 2
An LC circuit consists of a 2.88 mH Inductor and a 4.83 pF capacitor. (a) Find its impedance at 60.3 Hz. (b) Find its impedance at 10.7 kHz. (c) Now a 31.0 n resistor is added in series with the inductor and capacitor. Find the impedance of this RLC circuit at 60.3 Hz and 10.7 kHz. At 60.3 Hz At 10.7 kHz (d) Compare the values of Z in parts (a) and (b) with those found in part (c), in which there was also a resistor. Why are they similar? (Select all that apply.) O At low frequency, the inductor dominates. O At high frequency, the capacitor dominates. O At high frequency, the inductor dominates. O The resistor makes little contribution to the total impedance. O At low frequency, the capacitor dominates.
Please do all parts
Ex. 142. A series circuit has a DC voltage source (96 volts), a resistor (46 ohms), a capacitor (36 farads), The capacitor is initially uncharged and the switch closes and a switch. at t=0. Sketch the exponential current and capacitor voltage: i(t)=Aexp(- t/tau) +B, and Vc (t)=Dexp(-t/tau) +F. Find: A,B,D,F,tau,i(t=tau),i(t=4tau),Vc (t=tau), and Vc (t=3tau). ans:9
a) Find the steady-state response of the system below if the input is T(t) = sin(27333t)u(t) + sin(2n705t)u(t) and C1=8µ R1=32. (Your solution should contain each step) b) Plot the output signal. C1 R1 Vout V1
In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t + 1/2). The displacement current (in Amperes) through the capacitor is (b) 2sin(t + π) (d) 0 (a) 2sin(t) (c) 2sin(t + 1/2)
XE0 8H Q.39: The switch in the circuit shown in figure beside has been closed for a long time, then 12A, opened at t=0. Find the numerical expression for the current through the inductor i(t). i(t) 160 00
During the transient analysis of an RL circuit, if the current through an inductor is 1.5 A at t = 0, the current through that inductor at t = (0.5 time-constant) will be: O A. Higher O B. The same O C. Lower O D. None of the other choices are correct O E. Can't tell the current until we know the voltage applied to the circuit