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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.a 20mH inductor draws a current of i(t) = 100 sin(100t). Find the voltage %3D equation 200 sin100t 200 cos100t 2000 sin100t 2000 cos100tThe current through a 50 mH inductor is given below. Use Ohm’s Law to find the voltage. Convert to polar form, find the impedance and complete the math, then convert back to the waveform at i1 = 7.5sin(2500t – 20°) mA and i2 = 5.9sin(200t + 40°) mA
- In the circuit shown in Figure, the switch S is closed at time t = 0. the voltage across the inductance at t = 0+ 3.02 10V A) 2V B 4V c) -6V D) 8V S 4F 492 HIMM WWW 49 ell6. The waveform of the current in a 40mH inductor is shown in following Figure. Find the waveform of the inductor voltage. i(t) mA 4 10 -10 2 √141= -400 mu 400 md 400 mu -toomd 3 4 5 cetelus istszus 2stc3ms 31+64thl 4steśms 6 t (ms)The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW
- The voltage and current of an element are i(t) = 3.cos(1000t + 10°) V(t) = 6.cos(1000t – 80°) The element is Select one: a. resistor and capacitor (R and C) b. resistor R c. Inductor L d. Capacitor CShown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit ?Ztot = Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit: I(PEAK) = Amps I(RMS) = Amps Determine the voltage across the inductor: VL(PEAK) = Volts VL(RMS) = Volts Determine the voltage across the capacitor: VC(PEAK) = Volts VC(RMS) = Volts If a second circuit were connected in parallel with the resistor, this circuit would be considered as: a high-pass filtera flux capacitor a radio tunera phase…Select all correct statement(s):1, The equivalent resistance for resistors in parallel is the harmonic mean of all resistors;2, The equivalent capacitance for capacitors in series is the sum of all capacitors;3, The equivalent inductance for inductors in series is the sum of all resistors.32None of them is correct1
- The current through a 220 μF capacitor is given below. Use Ohm’s Law to find the voltage. Convert to polar form, find the impedance and complete the math, then convert back to the waveform at i1 = 1.5sin(2500t + 30°) mA and i2 = 4.7sin(200t – 40°) mAThe circuit in figure 1 is operating in the sinusoidal steady state. Find the steady state response Vx(1) C1 HH 2uF Icos(25001) A R2 2000 R1: 2000 Figure 1The switch in the following circuit closes at t-0. If the capacitor is initially discharged, calculate the voltage on the capacitor at t-3s. (R-50KQ, C-33uF) 50 k2 15 V 33 jul