(10 points) For the circuit below, derive an expression for soln) in t wolt) in tore...
J(10 points) For the circuit below, derive an expression for volt) inerms o vr) 20 nF 200 Ω volt) vI(t) 200 mH
Question 4 (1 point) For the op-amp circuit shown below 20 Ω, CI :: 5 μF, C2 :: 25 nF The circuit is excited by a Triangular wave taveform t4in Table 5.4) with A·5 V, and To. 1 ms. Provide the following (a) An expression for H(w) -V.(w)/V,(w) b) Derive the Fourier series representation of the output v(t c) Calculate the first five terms of volt)
For the circuit shown below (1) Please derive an expression for the transfer function H(jco)- Vout/Vin. (2) Sketch the corresponding Bode magnitude and phase plots, and please indicate the slope. 50Ω 250 mF 100 Ω 250 mF in out
(4) (10 points) For the circuit shown below, find i(t) after the switch closes at t=0. 140 Ω 18 Ω 60 Ω * 7 0.2 Η 60 Ω 120 ΩΣ
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpression for the ow c) Using circuit analysis, derive an epssio o te lorw-froquency gain a, Aun (5 pts (d) Using the transfer fatile fundi.~ส6aa.deme an epression fr the hi froguency gain, (5p) e) Using cecuit analysis, derive an expssion o te high-frogency ga,A (5 pts) Expeess A (s) in the following o Find an exprossion for Aan ande (30pes For parig,through h@aunetha...
T. For the circuit below, fill out the table and determine the capacitor voltage and current as functions of time. Don't forget to evaluate the time constant. 1 mF Vc 10 V VR 100Ω 200 Ω t-0 t00 Ic IR
6) (a) Derive an expression for the transfer function H(s)- Vofs)Vi(s) of the circuit in Figure 4 10 marks Vi(t) 1 Figure 4 (b) If the inductor value is 100 ?? and the capacitor value is 1 ?F calculate the value of the resistor required to ensure that the response of the circuit is critically px. (5 marks)
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...
Question 3 5 out of 5 points Analyze the circuit below to derive an expression for lout in terms of the input voltages, Va and Vb. Assume R1-R2-R3-R4-R. Assume the op-amp is operating in its linear region. Va R1 R2 OA2 LM741 Vb R3 R4 lout RL