1. In the circuit shown in Figure 1, let Vs(t) = 5 u(t), RỊ = 20, R2 = 12, R3 = 12, L= 0.5H, C = 0.2F, i(0") = 2A, v(0') = 3V. R1 Va R2 Vo a b i(0-) v(0-) vo(t) R3 Figure 1 (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. Vi(s) = V.(s). (d) Find Vo(s) in the s-domain. (e) Find vo(t) in the time domain by taking the inverse Laplace transform of Vo(s).

1. In the circuit shown in Figure 1, let Vs(t) = 5 u(t), RỊ = 20, R2 = 12, R3 = 12, L= 0.5H, C = 0.2F, i(0") = 2A, v(0') = 3V. R1 Va R2 Vo a b i(0-) v(0-) vo(t) R3 Figure 1 (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. Vi(s) = V.(s). (d) Find Vo(s) in the s-domain. (e) Find vo(t) in the time domain by taking the inverse Laplace transform of Vo(s).

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

Similar questions

A series RL circuit with R = 50 Ω and L = 10 H has a constant voltage V = 100 V applied at t = 0 by the closing of a switch.Find(a) the equation for i (you may use the formula rather than DE),(b) the current at t = 0.5 s(c) the expressions for VR and VL(d) the time at which VR = VL
The switch in the circuit shown in Figure (Q3) has been in position 2 for a long time. At time t = 0 the switch is moved from position 2 to position 1. Find v(t) for t ≥ 0.
Question 4: Consider the first-order circuit in Figure Q4. The switch has been at position afor a long time but moves instantaneously to position b at t = 0. (i) Derive the circuitdifferential equation for t > 0; (ii) Find the current ?? 0(??) for t > 0.
"NORTON'S THEOREM" Please Find the Vo Using NORTONS’S THEOREM thankyou very much! I've included a cicruit app to check if your answer was correct and close to the value of currents and voltages which is 0.5V thankyou! I've been testing simple circuits to practice problems using different theorems,I appreciate you very much Thankyou!
We are given Vs = 15 V. R = 10 Ω and a = 0.3 S for the circuit of Figure T1.5. Find thevalue of the current i sc flowing through the short circuit.
the switch in the circuit shown in position (a) for a long time , at t = 0 moves to position (b). Vₒ at initial position (a) = 66.6 V Vₒ at position (b) at t ≥ 0 = 66.6 V τ at t > 0 = 0.2 sec find : 4) Vc(t) at t ≥ 0 5) i(t) at t ≥ 06) how long after the switch is position (b) when Vc pass through zero .
Find the Norton equivalent for the circuit given below, where R1 = 40 Ω and R2 = 15 Ω.
Where X = 5 and Y = 6 and. t1 = 0,5 and t2 = 0,6 Vo = 6 For the circuit of Figure y knowing that t0 = 0s and that vC (t0) = −vo. 1) Find the mathematical expression for vC(t) in the interval t0 ≤ t <t1. Give your answer in V. Answer format: A + BeCt where A, B and C are real numbers rounded to three decimal places. 2) Find the mathematical expression for iR (t) on the interval 0<t <t1. Give your answer in amps (A). Response format: D +EeCt where D and E are real numbers rounded to three decimal places. 3) Find the mathematical expression for vC (t) on the interval t1≤t <t2. Give your answer in volts (V). Response format: F + GeHt where F, G and H are real numbers rounded to three decimal places.
Given the following values V1 = 12V , V2 = 5V , R1 = 10Ω, R2 = 5Ω, R3 = 10Ω, C1 = 2C2 = 4µF and C3 = 6µF. 1. Calculate the equivalent capacitor Ca in (a). 2. What is the value of the voltage va before the switch is closed? 3. Find an expression of the current iC3(t) for all t. Draw your simplified circuits whenever it is necessary to explain your working steps
1. Calculate the resistance that RL must have, so that the maximum power transfer occurs (obtaining 〖RL〗 _max).2. Calculate the largest power that can be consumed in RL3. What is the value of RL, such that the power consumed is 1/3 of the maximum and the voltage between its terminals is the lowest.
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
For the circuit of Figure and knowing that t0 = 0s and that iL (t0) = −1.5 A. Where X = 5 and Y = 6 t1 = 0,5 and t2 = 0,6 Vo = 6 1) Find the mathematical expression for iL(t) in the interval t0≤t <t1. Give your answer in amperes (A).Response format:A + BeCt where A, B and C are real numbers rounded to three decimals. 2) Find the mathematical expression for vL(t) on the interval t0<t<t1. Give your answer in volts (V). Response format: D + EeCt where D and E are real numbers rounded to three decimals. 3) Find the mathematical expression for iL(t) on the interval t1≤t <t2. Give your answer in amperes (A). Response format: F + GeHt where F, G and H are real numbers rounded to three decimal.