Please answer in clear writhing The switch shown in the circuit below has been closed for a long time prior to \( t = 0 \). Then, it opens at \( t = 0 \) and closes again at \( t = 1 \, \text{s} \). Find \( i_L(t) \) for all \( t \).**Circuit Diagram Explanation:**- **Components:** - An inductor of 2H is present on the left side. - Two resistors are in series: a 2Ω resistor followed by a 4Ω resistor. - A switch located in the middle of the circuit. - A 7A current source on the right side.- **Voltage and Current:** - The current through the inductor is \( i_L(t) \).**Operation:**- **Initial Condition:** The switch has been closed for a long time, ensuring the circuit has reached a steady state before \( t = 0 \).- **At \( t = 0 \):** The switch opens, altering the circuit's configuration.- **At \( t = 1 \, \text{s} \):** The switch closes again.The task is to determine the behavior of \( i_L(t) \) across these time intervals.

When the circuit is closed for a long time, the inductor will behave as short-circuit. The circuit is shown below: Thus the current across the inductor just before the switch is open is, iL0-=0 Since the inductor does not allow the sudden change of current across it, therefore, iL0+=iL0-=0 The switch is opened at t=0, the circuit for t>0 is shown below: After a long time, the inductor will act as a short circuit, the current across the inductor will be, iL∞=7×44+2 AiL∞=4.67 A The current across the inductor at any time t is given as: iL(t)=iL(∞)+iL(0)-iL(∞)e-tττ=24+2 sτ=13 siL(0)=0 AiL(∞)=4.67 AiL(t>0)=4.67+{0-4.67}e-3t AiL(t>0)=4.67(1-e-3t) AThe switch is again closed at t=1 sec, the circuit is shown below: The current across the inductor at t=1 sec is calculated using the above expression, iL(t>0)=4.67(1-e-3t) At=1iL(t=1)=4.67(1-e-3) AiL(t=1)=4.437 AThe current across the inductor for t>1 sec is given as: iL(t>1)=iL(∞)+iL(t=1)-iL(∞)e-tττ=22 sτ=1 siL(t=1)=4.437 AiL(∞)=0 AiL(t>1)=0+{4.437-0}e-t AiL(t>1)=4.437e-t A The current for all the time periods is, iL(1<t<0)=4.67(1-e-3t)iL(t=1)=4.437 AiL(t>1)=4.437e-t A

Answered: The switch shown in the circuit below…

Engineering

Electrical Engineering

The switch shown in the circuit below has been closed for a long time prior to t= 0. Then, it opens at t = 0 and closes again at t= 1 s. Find iz (t) for all t. 2HS 292 492 O 7A

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: The maximum gain of jw/(5+jw)^2 is? ________db

Q: Type UF cable shall not be used where subject to physical damage. A. True B. False

A: Generated power needs to be distributed to different loads. Cables are used for transferring power…

Q: Please answer in typing format

A: The height at which the rotor, or the blades, is installed atop the tower is known as the hub height…

Q: hat is the approximate voltage amplitude and frequency of the waveform below?

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: Please answer in typing format

A: The Peltier effect is the result when electric current is passed between two materials,such that it…

Q: QI-a-Draw the Pollution Control Equipment's. That used for dust as continuous way with diameter 1000…

A: DIFFERENT POLLUTION CONTROL EQUIPMENT'S THAT ARE USED FOR DUST AS CONTINUOUS WAY AND THEIR PURPOSE…

Q: 12 M R1 120 VAC 13.2 H L1 1k2 MW R2 60 Hz

Q: 3 ● Row 1 2 4 5 6 7 8 9 10 11 12 13 14 15 Refer to the National Electrical Code® or the working…

A: Here it is asked to solve question (2), so we are solving that question only. “Since you have posted…

Q: Question¹229 Review titul following statements and Questi select the most 20 appropriate answer.…

A: The correct answer is:c) Statement one is correct and statement two is correct.Explanation:Statement…

Q: Hi for case 3 is explain on which question ? either (a) positive or negative or for question (b) pls…

Q: Fill the following blanks in the sub-program with suitable numbers to generate 7 sec delay.

A: Explanation:The outer loop (D2) is initialized with a count of 7 to achieve a 7-second delay.The…

Question

Please answer in clear writhing

The switch shown in the circuit below has been closed for a long time prior to \( t = 0 \). Then, it opens at \( t = 0 \) and closes again at \( t = 1 \, \text{s} \). Find \( i_L(t) \) for all \( t \).

**Circuit Diagram Explanation:**

- **Components:**
- An inductor of 2H is present on the left side.
- Two resistors are in series: a 2Ω resistor followed by a 4Ω resistor.
- A switch located in the middle of the circuit.
- A 7A current source on the right side.

- **Voltage and Current:**
- The current through the inductor is \( i_L(t) \).

**Operation:**

- **Initial Condition:** The switch has been closed for a long time, ensuring the circuit has reached a steady state before \( t = 0 \).
- **At \( t = 0 \):** The switch opens, altering the circuit's configuration.
- **At \( t = 1 \, \text{s} \):** The switch closes again.

The task is to determine the behavior of \( i_L(t) \) across these time intervals.

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 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Solve 34 plz fasttt...hand written plz i'll give you multiple upvote
Hello, I am doing some practice and I am getting hung up on my cross product derivation. I know it is supposed to be zero, but I want to prove it with the math. Could you help me out with this? Thank you for your time and effort, I appreciate the help. Please see attached for probelm.
10.a. When new work is being performed, an outlet box must have a minimum depth of A. 1 in. B. 1 1/2 in. C. 2 in. D. 2 1/2 in. 10.b. When new outlets are being added to the first floor of a two-story house with an unfinished basement, the easiest route for running cable is usually A. behind the wall. B. behind the baseboard. C. by way of the second floor. D. by way of the basement.
Refer to the National Electrical Code® or the working drawings when necessary. Where applicable, responses should be written in complete sentences. For problems 1 and 2, six luminaires, similar to Style E used in the Commercial Building, are to be installed in a room that is 12 ft x 18 ft (~3.7 m x ~5.5 m) with a 9 ft (2.8 m) floor-to-ceiling height. The spacing ratio for the luminaire is 1:0. 1. The maximum distance that the luminaires can be separated and achieve uniform illuminance is ft ( m). For problems 2-5, two luminaires, 8 ft (2.5 m) and 4 ft (1.2 m) in length with dimensions as shown in Figure 15-7, are to be installed in tandem (end to end). The end of the long luminaire is to be 2 ft (600 mm) from the wall. 2. The center of the outlet box should be roughed in at ft ( m) from the wall. 3. The first support should be installed at the wall. ft ( m) from 4. The second support should be installed at from the wall. ft ( m) 5. The final support should be installed at the wall. ft…
The hole on the drawing below is required to be perpendicular to the bottom surface and centrally located on the plate regardless of the size of the feature and regardless of the sizes of the datum features. In order of precedence, which datum features are missing in the feature control frame? (select all correct answers) Ø2.505 -2.510 0.005 E C A B Odatums A, D, E Odatums A, D Odatum A O datums D, E, A O datums A, E, D 1 I 6.00 4.00 1.00
i need a code and diagram to make circuit arduino uno with these sensors MQ_7 gas sensor with (buzzer 4_8v DC) Dht22 flame detection sensor digital with (buzzer 4 - 8v Dc) hw 596 pressure alarm all these sensors show on lcd 20*4 i2c thanks