2- At t<0 the switch on the circuit below is closed for a long time and it opens at t-0.a) Redraw the circuit for t<0 and determine the initial condition in (0)b) For t> 0, redraw the circuit and then find it(t)c) Is this problem present a natural or a step response? Why?d) Calculate the magnitude of it at t-r (at one time constant)e) Find voltage across the 8 mH inductor (V₁) for t>0. (show the voltagepolarity on the circuit)f) Find V₁(0) and V₁(0*). (VL is the voltage across the 8 mH inductor)30V20wt=0X.202018)wwBmH

Answered: Image /qna-images/answer/36f40806-3f83-4bc7-914f-35b867c7229b.jpg

Answered: At t<0 the switch on the circuit below…

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...

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Similar questions

For the circuit below with the switch closed and then opening at t=0, and R1= 9Ω, R2= 4Ω, L = 9H, C=3F, vg = 7V, calculate the initial conditions. For t > 0, develop the differential equation for the solution using mesh analysis.
The switch in the circuit shown has been open for a long time. At t=0, the switch closes. 1. Derive the integrodifferential equation that governs the behavior of the voltage vo for t≥0. 2. Show that Vo(s)=Vdc/RCs2+(1/RC)s+(1/LC). 3. Show that Io(s)=Vdc/RLCs[s2+(1/RC)s+(1/LC)].
Natural Response of RLC Circuit The given circuit is switched at t = 0 after reaching steady-state, find the following value of: 1. v(in volts) and dv/vt(in V/s) at t = 0? 2. i(0+) in Amperes? 3. di/dt(in A/s) at t = 0+? 4. What is the charge in capacitor at steady state?
In order to change the behavior of a 2nd order underdamped system, we need to move Its closed-loop poles on the s-plane as shown. With this move, what happened to the damping ratio
Set up the differential equations with f(t) as input and y1(t) and y2(t) as outputs in the circuit below. (given trignometric formulas given below)
Please see attachment and please show handwritten work! A system is described by the differential equation: Determine the values of the natural frequency, damping ratio and the dampednatural frequency for this system. This system is: _____Undamped _____Underdamped _____Critically Damped _____Overdamped *** Please see attachment, and please show handwritten work! Thank you!
Verify that equations of the solution can be done bysubstituting into the left-hand side and thennoting that it equals the right-hand side for all values of t>0. At t=0 should reduce to the initial value of the current.2. Because the transient component vanishes as time elapses andbecause our solution must satisfy the differential equation for allvalues of t, the steady-state component, by itself, must also satisfythe differential equation. Verify this observation by showing thatthe steady-state component.
In the circuit given below, obtain the current i (t) for t = 0 ^+ and t>o by specifying the steps of the process using differential equation
A RL circuit has an emf of 5 volts, a resistance of 50 ohms, an inductance of 1 henry, and no initial current. Find (a) the current in the circuit at any time t and (b) its steady-state component.
In the circuit given below, R1 = 60 Ω. Calculate the value of R needed to have a critically damped response. The value of R is ______ ohms.
Let the first order circuit be shown in the following figure:The switch shown is known to change itsstate from open to closed at time t = 0 and that,once this change has occurred, the circuit reaches thesteady state at approximately 4.5 μs.a) Show that the voltage, v (t), satisfies the following first-order differential equation:
For the circuit below a. what is the damping coefficient and the damping frequency? b. What kind of damping does this circuit represent? c. What is the differential equation that describes the current iL(t)?

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