Problem 3: In the transient circuit shown below use differential equation method by finding the constants...
Problem #2: In the R_L transient circuit shown below use differential equation technique to find the output current, ie(t) when switch is moved to position 2. 342 2. A, (H) 3.2
do not use s domain method ,use only differential equation 3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ω R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
Problem 2 You are given the circuit shown below and you are told that the switch was closed for a long time prior tot0. Att0 the switchopens. IH 402 a) Find vc(0), i(0) dt c) Find the steady-state voltage Vess across the capacitor. d) Write the differential equation in terms of vc() indicated above. c) Is the transient response over, under or critically damped? Find v(t)t>0
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0. Assume that the circuit has reached steady state prior to the switch closing. You are given R1 1 kQ, R2-10 kQ, R3-R4-100 k2, L 10 mH, Vs-5 V. (a) [15 pts] Calculate the steady-state inductor current before the switch is closed (b) [16 pts] Give the differential equation as an expression of the inductor current fort>0 (i.e. write the differential equation) (c) 13 pts]...
Don't use Laplace method Don't use Laplace method Don't use Laplace method Don't use Laplace method Don't use Laplace method Consider the circuit shown in Fig. 3 22 SW1 SW2 5Ω CF 25 V 20 S 10 V 3 H BL Figure 3: The circuit of Problem3 The switch SW1 has been closed for a long time before it is opened att has been opened for a long time before it is closed att 0 0 while the switch SW2...
2 First-Order RC Circuit: Natural Response The switch in the circuit in Figure 2 has been in position for a long time. At t = 0, the switch moves to position (the switch opens) and stays there. Assuming that V. > O for the constant voltage source, (a) find vc(0-), vc(0+), ic(0-), and ic(0+); (b) find vc(t) when t 20 (if you want, you can write vo(t) by circuit inspection; you don't need to show the differential equation); and (c)...
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t) Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
You have shown in P2.10 and P2.12 that the ordinary differential equation 3.54 is a simplified description of the motion of a rotating machine driven by a belt without slip as in Fig. 2.18(a), where W is the angular velocity of the driving shaft and W2 is the machine's angular velocity. Calculate the transfer-function from the input torque, T, to the machine's angular velocity, , then calculate the transfer-function from the 02 Joao(r)dr Assume that all torque, T, to the...
2. Apply the direct analysis method (i.e., do not use the circuit shown below. Assume that the switch h formulas) to solve for vo(t), t > 0, in time. The switch is in position 2 for all t> 0. has been in position 1 for a very long (2) Yer W 2v Volt
Problem 4 In the circuit shown below, the switch has been opened for a very long time prior to t= 0 and closes at t = 0 and remains closed for a long time. Please find: a) i (0), vc(ot), b) the steady-state voltage across the capacitor in terms of Us, Rı, and R2 c) the steady state current through the inductor in terms of Us, Ry, and R2 d) Write the differential equation for it) in terms of Vs,...