The angular resonance frequency of an RLC circuit is W = 3,800 rad/s. What linear frequency (in Hz) is this equivalent to? Report your answer to 1 decimal place. Hint: Note that linear frequency, f , is measured in cycles per second (Hz) and angular frequency, W, is measured in radians/sec. They are related as W = 2nf
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A: f=ω2π = 71.619 s-1 Inductive Reactance, XL : 2πfl = 202.497 ohm Capacitive Reactance, XC : 12πfC=…
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A: Part a) The inductive reactance is the resistance offered by the inductor and is given by
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- An electrical engineer is working with a parallel AC circuit. The circuit draws 10 ohms on a resistive branch, and the angle of the total impedance is 15°. What is the total impedance? O 7.6 ohms O 9.66 ohms O 10.35 ohms O 13.16 ohmsAt what two times in the first period following t = 0 does the instantaneous voltage in 37 Hz AC equal Vrms? (Enter the first two times t, and t,. Assume zero phase shift.) t = t2 = ms msYou have a resistor R = 43.0 2, a capacitor C = 0.334 µF, and an AC generator. What value of inductor in milli Henrys (mH) would you need to construct a series RLC circuit which has a resonance frequency of 16.7 kHz? (State answer with 3 digits right of decimal. Do not include unit.) %3D Moving to another question will save this response. Question 1 of 8 >>
- The voltage supplied to an ac circuit is given by v = (120 sin(60t))V. What are the rms voltage and the frequency? a) 120 V, 60 Hz b) 120 V, 380 Hz c) 170 V, 9.5 Hz d) 85 V, 9.5 Hz e) 240 V, 30 HzConsider the circuit shown in the figure. If the peak voltage of the AC source is VAC max = 100 V, and the ideal transformer has N1 = 80 turns on the primary side and N2 = 120 turns on the secondary side, what is the peak current that flows through the load if its resistance is R = 40 Ω? 2.5 A 5.6 A 1.7 A 3.8 AIn the figure below, a series RLC circuit of an inductance of 0.05 H, a capacitance of 1000 µF and a resistance of 10 ohms is tuned to resonance by connecting it across a variable frequency AC supply. The current and XC and XL vs. frequency of this circuit are plotted, see below. 10 Voits 0.0S H 0.0424A Cuurent vs. Frequency 1.2 1 0.8 0.4 0.2 100 12 Frequency Current vs. XL and Xc 180 160 . 140 120 OXL xC 100 80 . 60 40 20 ..... O 10 20 30 40 s0 0 70 80 90 100 110 Frequency (Hz) Answer these questions: 1- Determine the resonant frequency of this circuit and the amplitude of the current at resonance. 2- Which region does the circuit reactance is capacitive and which is inductive?
- In the RLC circuit below, the resonance frequency is 120HZ when R=5 ohms. What will be the resonance frequency if R is doubled? f=120HZ f=60HZ f=85 Hz f=240HZ O f= 169HZ wwIn a simple AC circuit shown on the right, C = 0.0045 F, L = 1.4 H, R = 45 Ω, and ΔV = ΔVmaxsin(ωt), where ΔVmax = 5.5 V and ω = 45 rad/s. a. Calculate the numerical value of Z in ohms. b. Calculate the numerical value of Imax in A. c. Calculate the numerical value of φ in radians.The purpose is to determine the current, and sometimes the phase difference between the voltage source and the current. In this case, determine the current amplitude (I0) when the circuit elements are these: ℰ₀ = 196 volts, ω = 1.75 rad/s, R = 46 Ω, L = 10 Henries, C = 0.203 Farads.