t=t1t = 0 –SIin= 10 A (DC)R¡ = R2=5 NIinR1R2LL= 500 μΗtj = 50 µsIn the circuit shown above, the switch S has been open for a long time. At 1 = 0, the switch S isclosed. At i = t1, the switch S is opened again.Please answer the following questions.(1) Derive the mathematical expression for the inductor current i,(t) for 0

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Answered: (1) Derive the mathematical expression…

(1) Derive the mathematical expression for the inductor current iL(t) for 0 t1. (4) Calculate the time instants when the inductor current iz(t) is equal to 2A.

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: 42 t=0 Q.27: For the circuit shown: find the transient equations of Vị and v2 fort 0 if the circuit…

Q: 3) The following first order circuit is at steady state at t=0 when the switch opens…

A: Step 1:Step 2:Step 3:Step 4:

Q: Delta function / distribution... Consider + Ax = f(t), A > 0, with various input forces and initial…

A: solution:- Given differential equation is:- dxdt+λx=ft where λ>0 x0=01…

Q: Pt A. Derive the expression for the capacitor voltage for the time interval 0≤t≤10 μs. Pt B. Derive…

A: we need to derive the expression for the capacitor voltage for the time interval 0≤t≤10 μs As per…

Q: Convert the following expressions to real-imaginary form: jj, e jπ .

A: Writing the expression in the real-imaginary form:

Q: Problem 1.4 (Complex Sinusoids) First, (a) sketch by hand the following signals against variable t:…

A: ( i ) Figure 3

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: 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: Find the time-domain expression for the current in the inductor . Assume the reference direction for…

A: Drawing the circuit in s-domain, Applying current division to find the current through the…

Q: By obtaining the differential equation system of the commission in Figure 2, Find the iL(t) current…

A: Draw the circuit and represent the mesh currents.

Q: 19. Determine the stored energy in the capacitor at t = 4. Assume v(0) = 27 %3! V 3272.22 J 3372.22…

A: From given current equation find the voltage across capacitor . Energy stored in capacitor = 0.5 ×…

Q: Determine the steady-state and transient responses of the system y(n) = 0.5[x(n) − x(n − 2)] to the…

Q: For the circuit shown in the Figure, assuming that the capacitors are initially uncharged, if C = 5…

A: Resistors, inductors and capacitors form an integral part of any electrical circuit. A source,…

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: Given the governing equation of motion, *(t) + 0.2x(t) + 38x(t) = 1408(t – 1.5) + 358(t – 9.1) -…

A: Given equation governing motionx..(t)+0.2x.(t)+38x(t)=140δ(t-1.5)+35δt-9.1Assume the initial x(0)=0…

Q: 42 Q.27: For the circuit shown: find the transient equations of V and v2 for t 2 0 if the circuit is…

Q: Consider the circuit. Find: a. Leg, i, (t)and iz(t) if i̟ = 3e¬tmA b. v.(t) c. Energy stored in the…

Q: Write your ID No. Let C 80 µF and L 2mH if the last digit of your ID No. is from 0-4; otherwise, let…

Q: Compute the voltage across the capacitor, taking the initial voltage across the capacitor as zero. R…

A: The voltage across the capacitor is calculated as shown below.

Q: 14. 7.14 PSPICEMULTISIM The switch in the circuit hasbeen closed for a long time before opening at…

A: When the switch is closed for a long period of time, the inductor will act as short circuit and the…

Q: Find the steady periodic solution Xsp(t) of the following differential equation. Use a computer…

A: To solve the given differential equation x'' + 9x = F(t), where F(t) is an odd function of period 2…

Q: A 10μ F capacitor is connected in series with a 0.7 MΩresistor across a 200 V d.c. supply. If the…

A: According to question: a) The time constant and initial charging current is calculated as…

Q: P1. Show whether each of the following systems is linear/time invariant. a(t) t>0 t< 0 a) y(t) = b)…

A: Answer B: Given function is y(t)=2cosωt+k∫-∞tx(τ)τ (i) Linear: Although it is known that all 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: Derive the expression for heart ratein beats per minute given the values of R and C and assuming…

A: The expression for the voltage across the capacitor is given by VCt=VS1-e-tRC Put, VCt=0.75VS in the…

Q: inductor current iz (left to right) and the capacitor voltage vc (+ on the left) to be the state…

Q: 2.4-2 Evaluate the following integrals: (c) L, 8(t)e-lut dt (d) S, 8(t – 2) sin at dt (g) , g(2 –…

Q: (a) What is the value of C1 required to set fL to 2000 Hz in the circuit (b) Choose the nearest…

A: (a) Write the expression for the input resistance. Rin=RS∥1gm=1.3 kΩ∥15 mS=1.3 kΩ∥0.2 kΩ=1.3 kΩ0.2…

Q: 1. Which of the following is an even function of t.? (a) t 2 (b)t 2 – 4t (c)sin2t + 3t (d)t 3 + 6 2.…

A: According to Bartleby question answer rules I have to attempt first three only.

Q: Q1) a). A 1.5 H coil has R of 70 Q. The coil is energised by e = 149 sin 314 t. obtain the…

A: Given RL series circuit R=70 ΩL=1.5 HSource e=149sin314t

Q: 1. A system has K, (i.e., position error constant) = 3. What steady-state error can be expected for…

A: This question belongs to control system . It is based on the concept of steady state error from…

Q: Aşağıda görülen devre için t < 0 zamanında kondansatörün üzerinden geçen akım ic(t) aşağıdakilerden…

Q: 0.05F 3: Find the current i(t) for t>0 using classical method, if the circuit is in steady-state at…

Q: Obtain the following a.) exponential frequency b.) rise time c.) time constant d.) settling time.…

Q: Determine the steady-state voltage v(t) when it is subjected to a waveform shown below. is (A) 5 mH…

A: The function given is defined as, Its period is, The fundamental frequency is,

Q: Given the circuit, derive the differential equation defining the inductor current. What are the…

A: Given the circuit network: We need to derive the differential equation defining the inductor…

Q: Given: A system is linear time invariant with the following information • Zeros: –3 ± j4 • Poles: –1…

A: From the basics of Laplace transform

Q: A second-order system has two poles at -3 + j7 and no zero, find the system &, wn, PO, t, and t;.

Q: what is I (0¯)?

A: At steady state , inductor acts as short circuit. Replace the inductor in the circuit with short…

Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

100%

t=t1
t = 0 –
S
Iin= 10 A (DC)
R¡ = R2=5 N
Iin
R1
R2
L
L= 500 μΗ
tj = 50 µs
In the circuit shown above, the switch S has been open for a long time. At 1 = 0, the switch S is
closed. At i = t1, the switch S is opened again.
Please answer the following questions.
(1) Derive the mathematical expression for the inductor current i,(t) for 0 <t <t1.
(2) Calculate the inductor current i(t) at t = tj.
(3) Derive the mathematical expression for iL(t) for t2 t1.
(4) Calculate the time instants when the inductor current in(t) is equal to 2A.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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 show your solution step by step. For the given question take y =5 The current across a 10mH inductor is yt A 0st< 5s tA 5sts 8s i,(t) = a) Find the inductor voltage vL(t) as a function of time and sketch its graph. b) Assume that vL(t) is periodic (T-8s), calculate the natural frequency (f), and find the ratio between average and rms value of the voltage waveform.
Q1) Choose the correct answer (s) 1. Which of the following is an even function of t.? (a) 12 (b)t2-4t (c)sin2t+ 3t (d)t 3+6 2. "A periodic function" is given by a function which (a) Has a period T = 2 (b) Satisfied f(t +T)=f(t) (c) Satisfied f(t +T)= -f(t) (d)Has a period T = 3. The Fourier Transform of the exponential signal ejw0t is (a) A constant (b) A rectangular gate (c) An impulse (d) A series of impulses 4. The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and 20 respectively. The velocity of a travelling wave on the transmission line is: (a) ZOC (b) 1/(ZOC) (c) ZO/C (d) C/ZO 5. A transmission line whose characteristic impedance is a pure resistance (a) Must be a lossless line (b) Must be a distortion less line (c) May not be a lossless line (d) May not be a distortion less line
HELP WITH THIS WOULD BE GREATLY APPRECIATED
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
7
Do the sub-part (F) only, only typing
Switch U1 is closed at t=0 Initial voltage C1=3V C2=0V 1. Derive governing equation for t>0 2. Characteristics equation t>0 3. Natural response t>0 4. Natural frequency and time constant 5.plot transient response 5 time constants
Answer All questions: QI: Connect the block diagram shown below. If A=1, trace on the oscilloscope the step function, Vol and Vo2. What is the steady state error? Verify that the function et and are L.T pairs. +1 Vo?
4. Assume that at the instant the 2A DC current source is applied to the circuit shown below, the initialcurrent in the 39 mH inductor is 1A, and the initial voltage on the capacitor is 50 V (positive at theupper terminal). Find the expression for iL(t) for t ≥ 0 if R equals 12.5 ohms.
Please try to do asap...tq