8. For the RLC circuit shown, Find the half power frequencies, the resonant frequency, the bandwidth,...
8. For the RLC circuit shown, K 10 fl. L :i 50 mH, and C- 10 μ} Find the half power frequencies, the resonant frequency, the bandwidth, and the quality factor in terms of R, Land C. i(0) R 0)
Please provide step by step solution with all formulas. Q1. A series RLC circuit as shown in Figure Q1 has a resonant frequency,o, of 200t rad/s, inductance, L = 50 mH and the quality factor, Q = 15, and it is driven by a voltage source, Vin(t) = 220sin(ot) R L m Vin(t) с Figure Q1 Calculate: (a) The value of R and C. [4] [6] [4] (b) The energy stored, the average power and the energy dissipated per cycle....
For the following resonant series circuit shown in fig. 1, find : - Quality factor, Q. - Bandwidth, B. - The voltage across the capacitor. - The voltage across the inductor. - The voltage across the resistor. L = 4.7 mH C = 0.001uF S R = 470 VIN-1 V Fig. 1 Resonant series circuit
To test hearing at various frequencies, a resonant RLC circuit is connected to a speaker. The resonant frequency is selected by changing a variable capacitor. For an RLC circuit with L = 300 mH. Round your answers to the nearest whole number. (a) What is the necessary capacitance to achieve a resonance frequency of 16 Hz (about the lowest frequency that can be detected by people with excellent hearing)? C = μF (b) What is the necessary capacitance for a...
(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source) with resonant frequency of wo 5000 rad/s and quality factor of Q-10, calculate the values of R L, C, the bandwidth and half-power frequencies in Hertz. (4 marks) VG and hence show (iii) Derive an expression for the driving point impedance Z(jø)...
3.The phasor diagrams for a series RLC circuit are shown below. Rank the frequencies from lowest to highest. Which frequency is closest to the resonance? a. b. VI Vt Vc 4. Circuit / has a reonant frequency of wy, What is the resonant frequency wn of circuit // in terms of w? Circuit L Circuit IT 2L C/2 ε sin(40t) & sin(ot) 5. At time t -0 the capacitor in the circult below is fully charged with Qmax and the...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Compute values for R and L to yield a bandpass filter with a center frequency of 5kHz and a bandwidth of 200Hz, using a 10nF capacitor. (25 points) 1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies...
1. Consider a series RLC circuit with input voltage source Vin and the output voltage V, taken as the resistor voltage. Assume the values are R = 10 kN, L = 10 mH, and C = 100 pF. a) Find the maximum output voltage and the frequency that it occurs. b) Determine the bandwidth and the quality factor and discuss the value of the quality factor.
In an RLC circuit, assume ω, and ω2 such that 1(joi) = 1(ju).) = Imax/V2 and Δω such that Δω-: ω2-ω| . In other words, Δω is the width of the current curve where the current has fallen to 1/V2 = 0.707 of its maximum value at the resonance frequency. At these frequencies, the power dissipated in a resistance becomes one-half of the dissipated power at the resonance frequency (they are called the half-power points). In an RLC circuit with...
Find the resonant frequency for a series RLC circuit where R = 18.0 Ω, C = 9.7 µF, and L = 8.30 mH. Group of answer choices 3.51E+2 Hz 5.61E+2 Hz 7.93E+2 Hz 1.98E+3 Hz 1.76E+3 Hz