What is the time constant? What is the expected steady state value?
3(dω/dt)+2ω=0 ω(0)=4
What is the time constant? What is the expected steady state value? 3(dω/dt)+2ω=0 ω(0)=4
1. Find vfor t> 0 if the circuit is in steady state at t 0 Ans: -4e2" (cos 2t +sin 2t) +4 Volts 2Ω 1 H -0 2Ω 1
Ω 1F + y(t) 2Ω 2Ω 1Ω Ω + 3Ω x(t) Ω Figure P4.4-14 4.4-14 Consider the op-amp circuit of Fig. P4.4-14. (a) Determine the standard-form transfer func- tion H(s) of this system. (b) Determine the standard-form constant coef- ficient linear differential equation descrip- tion of this circuit. (c) Using transform-domain techniques, deter- mine the circuit's zero-state response yzsr(t) to the input x(t) = e2tu(t + 1). (d) Using transform-domain techniques, deter- mine the circuit's zero-input response yzir (t) if...
FIGURE 26-24 2Ω 4Ω 3Ω Four resistors of values 2 Ω, 4 Ω, 3 Ω, and 9 Ω are connected across an 8-V DC source as shown in Fig. 26-24. What is the current through the 9-Ω resistor? 0.7 A O2 A 0.5 A 0.9 A
Since no "m" term is given, does that mean there is no mass? (10%)5、GIVEN: bx+kx-F=8sin(ar) where b and k ROD: What value of o maximizes the amplitude of the steady state output, x,t) are positive constants and ω > 0 is a constant where x, (t) of course denotes the steady state part of x(t) IINI (10%)5、GIVEN: bx+kx-F=8sin(ar) where b and k ROD: What value of o maximizes the amplitude of the steady state output, x,t) are positive constants and...
If possible, construct an example linear recursive model that approaches a constant final value (steady state) that is not 0, +infinity or –infinity. If it is not possible, make the example model nonlinear with the same steady state restrictions.
Problem 4: (30) From the given Bode magnitude diagram, (a) Construct the transfer function G(s). 1), find the steady-state response y (b) If input utos(0.l ) The slope of 20logolG jo) at ω < 0.-the slope of 2010giolG jo) at 0.1 < ω < I The slope of 201°golG jo) at ω > 4000-the slope of 2010giolGUo) at 400 < ω < 4000 20log1G(jo) -40 60 80 10 10' 4 10 40 10 400 10 4000 10 w(rad/sec) Problem 4:...
Nhat is the equivalent resistance Rab? 4Ω 2Ω b 8Ω 4Ω Ο 6Ω Ο 4 Ω Ο 5Ω Ο 3 Ω
The circuit given in Figure 4 is at steady state before the switch is opened at t=0. After the switch is opened, for t ≥ 0; a) Calculate the current iL(t), b) Calculate the voltage v(t) at the terminals of the 2 Ω resistance. + v(t)- 1 = 0 2 Ω 1 Ω 2 Ω 5V 10V 1 Η Vi(t) Figure 4
3. Plot the transient, steady state, and complete response of the capacitor voltage Vc for 0sts5 seconds. 2Ω 5 V 10 V
[4] Consider a harmonic oscillator of mass m and angular frequency ω. At time t-0, the state of this oscillator is given by y(о) со фо) + с ф.) where the states I 0) .) represent the ground state and first excited state respectively. (a) Write the normalization condition for lv(o) and determine the mean value (H) of the energy in terms of co and ci. (b) With the additional requirement (H)-ho. calculate eoand o,p. [4] Consider a harmonic oscillator...