Y(s) = @ n 2 1 1 - (s+w₂)² s n S Wn 1 (s + @₁₂ ) ² s + w₂ n n
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Can you show me the steps to get the last part after the second equal sign.


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- 4) The function sin x (which you may remember from Calculus 1 limits) is important in signal processing and electrical engineering, and is known as the "sinc" function, often abbreviated as just sinc(x). Find § sinc(x) dx. Then, approximate ſ sinc(x) dx using the first five terms of the appropriate series.Draw the following expressions as time domain graphs.Figure shows voltage and current graphs for an inductor.a. What is the frequency of the voltage across the inductor?b. What is the value of the inductance?
- Express this graph/signal as a sum of singularity functions. Please give a proper solution.Please Can you solve the whole page Thank you so muchTHE SWITCH HAs BEtw IN PositINN "a" FOR A LoNG TrmE. tooKe a) At TemE t= o, THE SWITCH /s Mouro To Pasirned "b". DETERMINE Time ti WHICH Is THEe TimE To REoucE THE CAPACITOR VOLTAGE To Oue-HALe Its wiTIAL VOLTACE. b) FuD THE CURRENT Ar Time ti ¿(ti),
- Calculate the complex powers of all the elements in the circuit (S-j2Ω, S1Ω, S2Ω, S4Ω,)?0 Consider the image below. Derive an expression for E as a function of the excitation voltage E¡ and the resistances R₁ and R₂. You may have to use Ohm's law and/or Kirchhoff's laws. Ei allt R1 Eo 0 R2(b) Given the signal x(t) in Figure 3, sketch the signal for x(-2t-2): 2.5. 2 1.5 0.5 -0.5 0.5 1.5 2.5 3.5 Figure 3 Note: Show each step
- 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 UTMPlease answer in typing format solution please only typing format Plyi t rightarrow Please I will like it pleaseQ6. 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…

