4. The circuit is in DC steady state at t =0". At t=0 the switch is opened.reee24 V0,25Fa. Derive the second order ordinary differential equation and initialconditions that you would use to obtain i(t) for t 20*. DO NOT SOLVEthis initial value problem.Note: Your differential equation should be second order with i as thedependent variable and t as the independent variable. The initialdiconditions should include values for i(0) and-(0).dtb. Assuming the answer to part a is:d’ididi+3i=12; i(0) =2,(0) = 0 (which it is not),dt+4.dt?dtfind i(t) for t2 0*.

This question is from "Networks". Under which we are going to study about the transient response of…

Answered: 4. The circuit is in DC steady state at…

Engineering

Electrical Engineering

4. The circuit is in DC steady state at t =0". At t=0 the switch is opened. 24 V 0.25F

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: Determine the time constant of the circuit when the switch is thrown into position 1. Find the…

A: In the given RC circuit the value of the time constant, voltage across the capacitor expression and…

Q: An AC circuit includes two sections AB and BC in series. The section AB consists of two branches in…

Q: A coil of resistance 10 22 and inductance 0.8 H is connected to 200 V dc supply. The initial rate of…

A: Given: A coil of resistance, R=10 Ω Inductance, L = 0.8 H DC supplied voltage, V = 200 V

Q: A capacitor that is initially uncharged is connected in series with a resistor and a 300.0 V emf…

A: Given: Series RC circuit EMF, V=300 V Source internal resistance is negligible. Current through…

Q: O recomned the sU Soutce with replace a short citeuit (fiqure 2c) and measnte the vo 1Hage Ve…

A: Find the voltage across 6.8k ohm resistor in the given circuit ?

Q: C1 I2 R2 C2 I3 R3

A: This question is from transient analysis (Network Theory).

Q: Solve and show your complete solution: An inductive coil takes a current of 2 A and consumes 160 W…

A: When inductive coil contain a inductance in series with resistance. Inductance does not absorb…

Q: A 750-ohm resistor, an uncharged 1.50 uF capacitor, and a 8.00-V emf are connected in series. (a)…

Q: Q2/ For the network shown in figure (Q2), the switch has been open for a long time before closing at…

Q: For a system if the value of peak overshoot is 28 %, then the value of damping ratio o is

A: This is based on the control system. the value of peak overshoot 28% Find the value of damping…

Q: A capacitor of 0.2 F has a current through it of 0.5 e-2t A. Its voltage at time 0 is v(0) = 5 V.…

A: Voltage across capacitor with initial voltage =1C∫I(t) dt +V(o),now we will get capacitor voltage…

Q: Capacitance= 7uF Determine the time constant of the circuit for the capacities. For the capacity…

A: To solve the above question, one should understand the behavior of Inductor and Capacitor in DC…

Q: 20 0.OSH 100v 20uF a) 100 = 201 + 0.0s de ;Sidt 20x10-

Q: Dan is trying to build a circuit by applying a 34 volt emf to an LR series circuit in which the…

A: An LR series circuit Emf E=34 V Inductance L=0.7 H Resistance R=48 Ω The individual voltage drops…

Q: A 20µF capacitor is connected in series with a 40 kN resistor and the circuit is connected to a 30V…

A: We need to find current and voltage for series RC circuit .

Q: Capacitance= 5uF

A: 1). Given, Capacitance= 5 μF Now, Time constant,Ƭ = ReqCwhere, Req=4ll2 =4×24+2 =86…

Q: Option 2: Electrical Engineering Application. You are analyzing an AC circuit like one that you…

A: Write the given values in the question. itmax=30 Aitmin=0 Af=80 cylces/second

Q: An inductor of 5 mH has a voltage across it of 180e 12tmV. Its current at time 0 is i(0) = 10 A.…

A: Inductance L = 5 mH. Voltage is given vt=180e-12t mV. Current at at time t=0 is i0=10 A. Time t = 50…

Q: After a long time of operation (steady-state) on the position 1, the switch is set to position 2 at…

A: Circuit diagram is given as,

Q: RS), T= 1Sec S(st) 1/s

Q: A 20 resistor, a 0.01 H inductor and a 100 µF capacitor are connected in series. A DC voltage of 100…

A: …

Q: R L LOAD 1 kN 30 mH E = 2 V Z 0° 4 nF C(1 – 10 nF) f = 10 kHz

A: THEVENIN'S THEOREMS: In any linear, bilateral 2-terminal network consists of linear impedance…

Q: The current through a 25-mH inductor is 10e t/2 A. Find the power at t = 3 5. Enter your answer with…

Q: For the circuit shown in figure below, the switch has been opened for a long time and then at t=0…

Q: An RC circuit has a supply voltage of 3 volts. It has a series resistance of 37 ohms, and a series…

Q: Consider the circuit below with CA 1.00 F, CB 2.00 F, and Cc-3.00 F connected to a 13 V battery.…

Q: The following is true in a circuit in DC steady state (select all that apply): pls explain why…

A: AC signal: AC signal is called as time dependent signal. The magnitude of ac signal varies…

Q: 1. You are an electrician working in an industrial plant. You discover the problem with a certain…

A: Given that: In an industrial plant, a machine has a defective capacitor and its rating is 10 μF and…

Q: A 500 ohm resistor, an 1.5 F uncharged capacitor, and a 6.16-V emf are connected in series. (a) What…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 3. Two inductors of 20mH each are connected in parallel and this combination is connected in series…

Q: The figure shows the voltage across L 100H, then the current through the inductor at t 1.5 s is (…

Q: A coil of inductance 5 H and a resistance of 16 Q is connected to a 120 V DC supply. Determine (d)…

A: To solve this problem , we can use the time constant formula for an RL circuit :τ=L/Rwhere τ is the…

Q: A 50μF capacitor is connected across a 400V dc source. It is then discharged through a voltmeter…

A: Given thatIt is asked to find the time the capacitor will take from fully charged condition to 1.8 J…

Q: at which time the current is zero. Im

A: Given: Inductor is 8 mH Resistor is 2 ohm potential 20 V t=0, I=0

Q: O

A: Given: the circuit in which the switch is closed for a long time (t<0); steady state condition L…

Q: The electricity supplied by a typical wall socket is driven by an alternating current. This…

Q: 6. A series RC circuit consists of R=2 mega ohms and an uncharged capacitor C=2 microFarad. The…

A: given circuit.

Q: A motor with a coil that has a series resistance of 100 ohm and an inductance of 30H is powered by a…

Q: Which of the following is true when charging a capacitor using a DC source? Current will flow…

A: The capacitor and inductor are two energy storage elements in electrical circuits. Capacitor stores…

Q: The R-L Circuit: An inductor with an inductance of 2.50 H and a resistance of 7.00 n is connected to…

A: given that the R-L circuit hasinductance L = 2.5 Hresistance R2 = 7 ohmsinternal resistance R1 =…

Q: An AC source operating at 60 Hz with a maximum voltage of 172 V is connected in series with a…

A: Given, Frequency of AC source, f = 60Hz Maximum Voltage of AC source, ∆Vsource(max) = 172v A series…

Q: A capacitor network is shown including three capacitors, a power supply, and a switch. The switch is…

Question

4. The circuit is in DC steady state at t =0". At t=0 the switch is opened.
reee
24 V
0,25F
a. Derive the second order ordinary differential equation and initial
conditions that you would use to obtain i(t) for t 20*. DO NOT SOLVE
this initial value problem.
Note: Your differential equation should be second order with i as the
dependent variable and t as the independent variable. The initial
di
conditions should include values for i(0) and
-(0).
dt
b. Assuming the answer to part a is:
d’i
di
di
+3i=12; i(0) =2,
(0) = 0 (which it is not),
dt
+4.
dt?
dt
find i(t) for t2 0*.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Sinusoids and Phasors of Alternating Circuit

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

Please solve it fast
Question 4 Figure 7 shows a recorded current waveform i(@t) from a converter. The current is related to (@t) during each cycle and alternates between 0 and +IL. The current waveform varies with time at constant frequency. i(ot +IL ot -T -Tt/2 T/2 3t/2 Figure 7 a) Determine the expression that describes the waveform i(@t) shown in Figure 7 as a function of ot. 1 b) Calculate the average value: a, . c) Identify all symmetries of the waveform i(ot) Figure 7.
I need answer within 20 minutes please please with my best wishes
I need the answer as soon as possible
Needs Complete solution with 100 % accuracy.
Please provide complete solution
Q2/ For the network shown in figure (Q2), the switch has been open for a long time before closing at t=0. Determine an expression for the inductor (L=20mH) current İL(t) for t20. 300 L 36V iL (2othH 5oonF 12 ISA losr
For the circuit below with switch U1 closing at time t=0 and the initial current in inductor L1 equal zero, find the transient response voltage across the resistor R1: (Provide your calculations and reasoning for your answer.) L1 U1 50mH 11 R2 1k R1 0.150Ado 15
9. Recall that Kirchhoff's laws help to get the current in circuits. Consider the following circuit: L R I(t) C +q(t) -q(t) Ignore the alternating power for this problem. a) What is the voltage over the resistor if it has a resistance of R ohms and the current is I ampere? b) What is the voltage over the capacitor if the capacitance is C and the charge on the capacitor is q. c) What is the voltage over the inductor if it has an inductance of L Henry? The answer must be in a form of a differential equation.
In the circuit shown, the switch is open, and the capacitors are uncharged. At t=0, the switch S is closed. Find the equivalent resistance of the circuit at t=0. R1=2R, R2=R, C1=C, C2=2C.
A circuit having a 120µF capacitor and a 10kN resistance in series is connected across a 230-V dc supply. Determine the final energy (in Joules) stored in the capacitor. Answer:
Lesson: Resistance, Reactance and Impedance A 100 uF capacitor has a minimal internal resistance of 17.5 ohms. What will be its equivalent impedance at 25-Hz?