Solve the following problems 1) For the rotational system shown in Figure, write the equations of motion from which the transfer function, e₁/T =G(s) can be found. (20 pts) T(t) 0₁(0) NI Ja K N₂ №3 0000 √2 NA JL JA DL

Q6. Figure Q6 shows a modulated waveform v(t) in microvolts as a function of time t in nanoseconds. 25 50 75 100 125 150 175 200 225 250 50 40 40 30 30 20 20 10 10 -10 -10 -20 -20 -30 -30 -40 -40 -50 -50 250 25 50 75 100 125 150 175 200 225 time/ns Figure Q6: Modulated waveform (a) Describe the modulation scheme. (b) What are the values of the carrier frequency and the modulation frequency? (c) What is the value of the modulation index? (d) What is the transmission efficiency (ratio of modulated to total power) in this example? (e) Sketch the spectrum of this modulated waveform indicating the relative magnitudes of the various spectral components. (f) The modulating wave in this example is substituted with a square wave of 50% duty cycle and of fundamental frequency 1.0 MHz. Sketch the absolute value of the spec- trum of the modulated waveform indicating the frequencies and relative magnitudes of the sideband components. (g) Demodulation of this type of signal is usually accomplished…

6-9) A capacitor, an inductor and a resistor all walk into a bar. No, wait. A capacitor, and inductor, and a resistor are connected in series with a sinusoidal AC emf. At what frequency ω will the maximum voltage drop across the capacitor itself be maximized (VC MAX)MAX? This is a tedious one.

The second photo is a solution from bartleby expert but they never gave any plot sketches! Can you help me plot the graphs?

Find the natural frequency for Vc for the following circuit given the following parameters. Solve for the differential equation symbolically so that you can use the same result in the next question. Otherwise you will have to repeat the process with new numbers. Also be wary of the given units. C = 1mF, L = 3mH, R₁ = 42, R₂ = 9 and R3 = 100 12v R₁ t=0 * R₂ R3

Let Zeq be the equivalent impedance of a parallel connection of an inductor with inductance L and a capacitor with capacitance C. At w=1/√√LC, the equivalent impedance is given by O a. Zeq = 0 b. Zeq = 1 O c. Zeq = 00 O d. Zeq = 0.5

A particular circuit built with one resistor and one capacitor in series allows high frequency source voltage sine waves to be transmitted as the output essentially unchanged. Any low frequency source voltage sine waves are “killed”; the output is very small, essentially zero. Design this circuit: draw the circuit and explain whether you measure output over the resistor or capacitor, and why. You do not need to choose values of R and C.

b) Two circuits connected in series which voltage drop across at each circuit can be expressed in time TTM domain as V1 (t) =5 sin (3147) V and V2 (1) =15 sin (314t - 30°) V. Sketch the waveforms of these voltages to illustrate peak values and phase relationships. UTM 5 UTM UTM TM S UTM UTM TM 5 UTM 8 UTM

* ?Find the overall TF of the following system 2s+1 7+44 +3 12+1 * ?obtain the step and sinusoidal response of the system * ?What are the delay time and MP of the system ?is the system stable? prove your answer

Please help with the attached problem.