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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- 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.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?Derive an expression for Vout as a function of Vin, where Vin is the nodes connected to the Waveform Generator signal. Show your equations below, either typed or a picture of your handwritten work.
- Inductive Circuits Fill in all the missing values. Refer to the following formulas: XL=2fLL=XL2ff=XL2L Inductance (H) Frequency (Hz) Inductive Reactance ( ) 1.2 60 0.085 213.628 1000 4712.389 0.65 600 3.6 678.584 25 411.459 0.5 60 0.85 6408.849 20 201.062 0.45 400 4.8 2412.743 1000 40.84158. || What are the charge on and the potential difference across each capacitor in FIGURE P26.58? + 9 V HE C₁ = 5 μF C₂ = 15 μF C3 = 30 μF FIGURE P26.58 + 12 V C FIGURE P26.59 с a CTHE 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),
- 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 UTM5. Suppose the following circuit is left open for a long time. 5000 22 24 V (a) What is the facial curren What is the carte II What is the ches What is the not the pos 80mF when we close thei 90s after we close the switch? dissipe the resistor 90s arter ene capacitor ons after we close the suit Close the switchi difference across the spacitor 008 after we close the switch across the resisto we close the swit 12 the potential (g) What is the energy stored in the capacitor 90s after we close the switch? (h) What is the energy dissipated by the resistor during the first 90s since the switch is closed?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…
- By adopting COSINE as the base function for phasors, what part of the Euler's identity is used? (A cannot be determined B none of the choices C real D imaginary E) either one is acceptableQUESTION 4 A 1kO resistor, a 5mH ideal inductor, and a 1nF capacitor are connected in parallel. Find the total impedance if a 12kHz voltage is applied across the circuit. O 1.26KNL79.9* O 1.890412.4° O 1.61kQ<-74.4° O 3620268.8°07. Three capacitors, a 12 µF, a 20 µF, and a 30 uF. are connected in series to a 60-Hz source. What is the totai Ac a. 226.42 S2 b. 342.78 Q c. 442.09 N d. 566.32 Q