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: 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: A circuit having a resistance of 20 ohms and an inductance of 0.5 H is connected across a 200 V dc…

Q: Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A resistor (R = 2 ohms),…

A: In this case we will find maximum impedance and in that case current and power factor....

Q: Three = 202 - 30° Q, and 2. wye-connected load impedances, z, = 15260° 2, z. 10245° 2, are connected…

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

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: 7. The initial rate of current rise in an R-L circuit is 350 amp per sec when 220 volts is suddenly…

A: Given initial rate of rise of the current in the circuit di/dt = 350 amp/sec And 220 v is suddenly…

Q: For the circuit shown below, the switch has been in position-a for a long time. At t=0, the switch…

A: Time Constant (T) T = L / Rth Rth = Equivalent Resistance Across The Inductor L =150 m H R…

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

Q: A student wants to measure the clectrir potential difference across the battery for the circuit…

A: use following facts in circuits Voltage in short circuit is zero voltage in parallel circuit is…

Q: The switch is in position 1 for a long time. At t=0, it's put in position 2. Find the following: A)…

A: Two capacitors are in series Equivalent capacitance is…

Q: When the switch is in position-b, what is the final value of current?

Q: 1. Obtain the energy stored in each capacitor in the figure under dc conditions. 3 k2 1 k2 20 F 10 V…

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

Q: If the potential of point P in the circuit given in the figure is 100V What is the potential of the…

A: Consider the given circuit,

Q: One capacitor C, = 3 µF is charged up using a V, = 3 volt battery, then %3D disconnect from the…

A: For C1 =3 micro Farad, It is charged upto 3 volts. So charge on these capacitors will be , from…

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: An open circuit contains a switch S, capacitor C, voltage source AVS and three resistors R1, R2, and…

A: In the given question we need to calculate the rate of change of energy.

Q: An electric motor can be modeled as a series combination of a 17- resistor and 200-mH inductor. If a…

A: The given problem is from circuits. The detailed solution is given in the next step

Q: + 22 c=vc(t) C:

A: Since we are free to choose the capacitor value, let we choose capacitance value to be 10uF. At t=0,…

Q: 32 Ω 4 M μF 25 S μF 16 Ω A In the circuit above the switch S is initially open. The battery has been…

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

A: given circuit.

Q: The battery in the circuit has a negligible resistance and delivers a pole voltage of 13.0 V.…

Q: QUESTION 1 The switch in figure below has been closed for a long time( steady state). Find I,Vc, VL,…

Q: 3 A series RL circuit is connected across a dc source through a switch. At 6ms the voltage across…

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

Q: Capacitance= 9uF Determine the time constant of the circuit for the capacities.

A: At time t=0, the switch gets closed and the source comes into effect. So the response of system is…

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: The following is true in a circuit in DC steady state (select all that apply): Question 4…

A: in steady state condition capacitors behaves as open circuit (due to maximum charge stored )and…

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

A capacitor network is shown including three capacitors, a power supply, and a switch. The switch is initially open. When the switch is closed, the equivalent capacitance of the network connected to the power supply C3 stays the same switch decreases increases C1 C2 +- V OOO
4)
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 the answer as soon as possible
Needs Complete solution with 100 % accuracy.
A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 231 0. The values for L, R, the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190 uF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. L2 4) What is Q(t1), the charge on the capacitor at time t = t = 4.83 ms. Qt1) is defined to be positive if V(a) - V(b) is positive. uC Submit 5) What is t2, the first time after the switch is opened that the energy stored in the capacitor is a maximum? ms| Submit 6) What is the total energy stored in the inductors plus the capacitor at time t = t2? Submit
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
How many milliseconds after the switch has been moved does the inductor voltage equal 45V?
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.
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?