2. For the circuit in problem 1 above: a) Transform the circuit into the s-domain b)...
dx dt 1. For the circuit below determine: a) The initial conditions: iz(0+), dix(0*), v(0+), dv(0+) b) The circuit differential equation and solve for iz(t), t 2 0 (No credit for Transform techniques) ix VI 102 422 + lo 5+10u(t) 10 H 1/4 F V
In the circuit below, determine: a) The transformed circuit in the Laplace domain b) Expression for V(s) c) i(t); t 0 using transform techniques 422 302 2u(t) Is + I 4u(-t)
Problem 1: For the circuit below, use TIME DOMAIN TECHNIQUES. a) Find v, i, and the time constant. Clearly show your work in the document that you submit after the test. b) Enter the time constant, v(O), and i(0) into Blackboard. c) Sketch the time response of this circuit. Remember to label your axis!!! 312 10u(-t) V (+) 0.1 F + WWW (4) lut)A
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Q3. (1) Initial energy stored in the circuit is zero. Use Laplace transform to find Thevenin equivalent voltage (Vth) and Thevenin equivalent impedance (Zth) in the s domain with respect to terminals 'a' and 'b'. (12 points) 22 M 20u(t) (2) Find the time-domain solution for current iz(t). (8 points)
please solve number 2 and number 4 from the following picture. 2. The equivalent s-domain model for an RC circuit is shown below. w The loop equation in the s-domain is given by: 3165) + 16 = 3244 Determine the current i(t). Use the phase shift approach. 3. Determine the inverse Laplace transform of s? Y(s) - 10s +3[sY(s) - 10 ] + 2Y(s) = - 4. Clearly answer the following questions: a. Explain the purpose of using the Laplace...
(1 point) Use the Laplace transform to solve the following initial value problem: "7-0 (0)7, (0)-2 First, using Y for the Laplace transform of ), .e.Y Cu)). find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) and write the above answer in its partial fraction decomposition, y(s)-- + where a < b Now by inverting the transform, find y(t)
Problem 8. Provide the voltage equation for the circuit components below in the s-domain Laplace). PLEASE NOTE: Each answer should be in the form of V(s)-where the blank is the Laplace transform of the voltage equation for each element. a) R=20Ω c) L= 5m1H with 1,-10.1 d) C 10uF with VoOV e) C-5pF with Vo -10V 772 WI
1. Laplace transform in circuit analysis The switch in the following circuit has been in position x for a long time. At t=0, the switch moves instantaneously to position y. a. Construct the s-domain circuit for t> 0 b. Find 1.(s) and then use it to find i,(t) for t > 0 50012 y 15012 w vt=0 io 75 V 300 mH 300.5 °F
(1 point) Use the Laplace transform to solve the following initial value problem: y" + 6y' - 16y = 0 y(0) = 3, y(0) = 1 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)). find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(S) = Y(s) = A. where a <b Now by...