Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a partiçular solution of the form ip(t) = Ae-]with out Lapluce t= 0 10 H 5e i(t) Figure P4.45

Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a partiçular solution of the form ip(t) = Ae-]with out Lapluce t= 0 10 H 5e i(t) Figure P4.45

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: In the circuit of Figure P4.23, the switch is in position A for a long time prior to t=0.…

A: Before t=0, the switch is closed at A. the capacitor will charge during this period. The circuit is…

Q: 2. For each one of the systems in Figure P4.1, find an analytic expression for the output. Also…

A: Here, input R(s) = 1/s and the transfer function of the system H(s) Thus, the output C(s) will be…

Q: 6-37 Find a single equivalent element for each circuit in SS Figure P6-37. 1.0 uF 6.8 μF 75 ΜΗ -m 25…

Q: 4.25. Consider the system of Figure P4.25, with h(t) e au(t). x(t) → h(t) y(t) Figure P4.25 (a) For…

Q: 4.23. In Figure P4.23-1, assume that X,(j2) = 0, |2| 2 x/T,. For the general case in which T, # T;…

Q: Using the solution for problem 4 to determine the initial conditions, find and sketch v(t) for all…

Q: 4.7 In the circuit shown in Figure P4.7, let v(t) = 0 t 10 for < t < 0 x v(t) - for 0 ≤ t < 10 s for…

A: In this question we need to find the energy stored in capacitor for all time

Q: he circuit shown in Figure P4.4 consists of the cascade connection of three sections. In the total…

A: Given: The circuit diagram is, V0=0 Transfer function T(s)=V2(s)V1(s)

Q: 4.19 Use source transformation to find voltage V, in the circuit shown in Figure P4.19 FIGURE P4.19…

A: Let us name the nodes:

Q: Consider the circuit shown in Figure P4.34. The initial current in the inductor is /L(0-) = 0. Find…

A: Given that, inductor current iL(0- )=0A current…

Q: For the continuous-time signals x(t) and v(t) shown in Figure P2.29, compute the convo- lution x(1)…

Q: 4. For the system in Figure P4, sketch the root locus and find the breakaway and break-in points.…

A: Given Data: An open-loop transfer function of, Gs=Ks-3s-5s+2s+4 And the feedback of, Hs=1 To Find:…

Q: Determine iz(t) in the circuit shown in Figure P4.50. Assume: i(t) = 100 cos(wt + 4)mA is(t) = 80…

Q: P4.13. Derive an expression for V C ( t) in the circuit of Figure P4.13 and sketch v C(t) to scale…

Q: 3. Use the circuit shown in Figure P4.3 to find the indicated quantities. a) Find vx. b) Find the…

Q: Use the superpasition principle to find voltages V 4.6 and V in the circuit shown in Figure P4.6…

A: According to Superposition theorem, the response in any part of the circuit which is having more…

Q: Figh tumes the Exercise 4.5 Consider the circuit shown in Figure 4.11, in which the switch opens at…

Q: 34. RLC Series Circuit. In the study of an electrical circuit consisting of a resistor, capacitor,…

Q: For the circuit shown in Figure P4.29, the switch is closed for a long time prior to t=0.Find…

A: The circuit at t<0 is given as, At t = 0+ At t = ∞, The expression for time constant is given…

Q: Write the differential equation for i L(t) and find the complete solution for the circuit of Figure…

Q: *4.19 The current source shown in the circuit of Fig. P4.19 is given by the displayed waveform.…

A: Solved below .Explanation:

Q: Q4. The series RL circuit of Figure Q4 is subject to a unit step voltage input of height 5 volts at…

A: Given circuit is step input given to series R-L circuit. The current through the inductor when step…

Q: + (d) Find an expression for the maximum current in the inductor over one cycle of the external AC…

A: Given that, Vac (t)= V0 Cos(Ωt+ϕ) R, L, C, Ω and ϕ are arbitrary positive constants. Here we have…

Q: P4.42. The switch shown in Figure P4.42 has been closed for a long time prior to t=0, then it opens…

Q: A dc source is connected to a series RLC circuit by a switch that closes at t=0, as shownin Figure…

A: At t>0 , switch has closed. i(t)=CdvCdt Applying KVL in the given circuit…

Q: P4.38. For the circuit shown in Figure P4.38, find an expression for the current iL (t) and sketch…

A: Given Circuit

Q: in figure 2. The external source is an AC source with VAC(t) R, L, Vo, , o are arbitrary positive…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: (suteh) Consider the Circuit below: RI=200r R2 35mH 1000 For parts a-c assume the switch S is in…

A: Note: As per the guideline will be solving only first 3 subparts. Please repost for remaining. Time…

Q: Q4. Consider the circuit of Figure Q4 with Is(t)= 3u(t) V, (a) Obtain Vr(t) and i(t) for t>0 in the…

Q: For the circuit in Figure 3 the switch is in the left position for several minutes: (a) Find the…

A: When switch is in the left position for a long time, the capacitor will behave as open-circuit as…

Q: Solve for i(t) for t>0 in the circuit of Figure P4.67, with R=400 Ω, given that i( 0+ )=0 and v C…

A: Concept: The simplest area calculations are for squares and rectangles and to find the area of a…

Q: Solve for i(t) for t>0 in the circuit of Figure P4.67, with R=200 Ω, given that i( 0+ )=0 and v C…

Q: 4.61. A dc source is connected to a series RLC circuit by a switch that closes at t = 0, as shown in…

Question

P4.45.) Write the differential equation for i(t) and
find the complete solution for the circuit of
Figure P4.45. [Hint: Try a particular solution
of the form ip (t) = Ae- ]with out Lapluce
t = 0
10 H
i(t)
5e
Figure P4.45

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: Complementary function

VIEW

Step 2: Particular Integral

VIEW

Step 3: The complete solution of i(t)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Mathematical Modeling of Mechanical System

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

Determine i3(t) in the circuit shown in Figure P4.50 ifi1(t) = 141.4 cos(ωt + 2.356) mAi2(t) = 50 sin(ωt − 0.927) mAω = 377 rad/s
Solve for i L ( t ) for t>0 in the circuit of Figure P4.48. You will need to make an educated guess as to the form of the particular solution. [Hint: The particular solution includes terms with the same functional forms as the terms found in the forcing function and its derivatives.]
7 Determine the equivalent impedance in the circuit shown in Figure P4.47: л v,(t) = 7 cos (3,000t +) R = 2.3 k2 R2 = 1.1 k2 %3D L = 190 mH C = 55 nF R1
Please solve properly with steps
Please answer in typing format solution please Or in clean handwriting please I will like it please
P4.30. Consider the circuit of Figure P4.30 in which the switch has been closed for a long time prior to t=0. Determine the values of v C (t) before t=0 and a long time after t=0. Also, determine the time constant after the switch opens and expressions for v C (t). Sketch v C (t) to scale versus time for -4sts16 s. 2 MA 30 V 2 uF I MO Figure P4.30
Please Be aware that, you don't need to calculate the centroid because I already have the centroid which it's -4.161, I just need the asymptotic directions in degree. Thank you.
4. In the circuit shown in Figure P4, let Ri - 2Ω, R2 1Ω , R3 = 2Ω, R42Ω, Rs 1Ω, c=0.2F,L= 2H, ν(0) -3V, i(0) = 3A, vs(t) = 4 u(t), Vb = V. %3D %3D %3D %3D (a) Draw the circuit in the s-domain for t> 0. (b) Write a node equation at node a by summing the currents leaving node a. (c) Write a node equation at node b by summing the currents leaving node b. (d) Find Vo(s) in the s-domain. (e) Find vo(t) in the time domain. R1 Va R3 Vb i(0-) b a + R2 vs(t) R4 R5 Vo v (0-) C
In the circuit shown in Figure P4.7 let for - 00
In the circuit shown in Figure P4.4, let for - 00
A dc source is connected to a series RLC circuit by a switch that closes at t=0, as shownin Figure P4.61. The initial conditions are i(0+)=0 and vC(0+)=0. Write the differentialequation for vC(t).Solve for v C ( t ), if R = 20 Ω.
In the circuit shown in Figure P4.a, the switch is closed at t = 0. The capacitor voltage is charged to vc (0) = 12 V prior to t = 0. The voltage source is us(t) = 35 cos (1000t) V. Find the expressions of uc (t) and ic(t), respectively. vs(t) 500 Ω ww t=0 + v (t) - HH i(t) 1.5 µF 300 Ω