An RLC series resonance circuit has a resonance frequency of (5000/2π) Hz and impedance at resonance is 56 Q. Find the value of the inductance if the Q-factor is 25.
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- You are an electrician working in a plant. A series resonant circuit is to be used to produce a high voltage at a frequency of 400 Hz. The inductor has an inductance of 15 mH and a wire resistance of 2 . How much capacitance should be connected in series with the inductor to produce a resonant circuit? The voltage supplied to the circuit is 240 V at 400 Hz. What is the minimum voltage rating of the capacitor?a. Determine the frequency responseVout( jω)/Vin( jω) for the circuit of Figure P6.1. b. Plot the magnitude and phase of the circuit forfrequencies between 10 and 107 rad/s on graphpaper, with a linear scale for frequency. c. Repeat part b, using semilog paper. (Place thefrequency on the logarithmic axis.) d. Plot the magnitude response on semilog paper withmagnitude in decibels.What is resonance? Explain how the condition of resonance is obtained in a series RLC circuit. Determine impedance, current, and power factor of RLC circuit at resonance.
- A series circuit consists of a 120V, 50Hz source, a 30Ω resistor, a 50mH inductance, and a variable capacitance. Find the capacitance required to create a series resonance condition at this frequency.A series R-L-C circuit when excited by a 10 V sinusoidal voltage source of variable frequency, exhibits resonance at 100 Hz and has a 3 dB bandwidth of 5 Hz. The voltage across inductor L at resonance is ?A circuit of the series LRC has R = 4 Kohm e L = 6mH. (a) What should be the value of capacitance to produce a resonance at the frequency of 40 kHz? (b) What is the maximum current rms in the circuit when is the voltage rms of the source 150 V? (c) the impedance of the inductor and capacitor, and (d) the power dissipated in the circuit
- Consider the circuit shown in Figure P6.68. Sketch the Bode magnitude and phase plots to scale for the transfer function H(f) = V out / V in.An inductor of 150 mH with a resistance of 75 Ω and a capacitor of C fed are connected in series. The connection is 150 V, 50Hz AC. Supply is provided. So find the value of the capacitor for resonance condition and find the current at resonance.Determine an expression for the circuit of FigureP6.54(a) for the equivalent impedance in standardform. Choose the Bode plot from Figure P6.54(b) thatbest describes the behavior of the impedance as a function of frequency, and describe (a simple one-linestatement with no analysis is sufficient) how youwould obtain the resonant and cutoff frequencies andthe magnitude of the impedance where it is constantover some frequency range. Label the Bode plot toindicate which feature you are discussing.
- Consider the series resonant circuit shown in Figure P6.72, with L=20 μH, R=14.14 Ω, and C=1000 pF..Compute the resonant frequency, the bandwidth, and the half-power frequencies. Assuming that the frequency of the source is the same as the resonant frequency, find the phasor voltages across the elements and sketch a phasor diagram.For each of the driven RLC circuits specified below, do the following:i. Determine resonance properties ω0 , ωL, ωH, B, and Q (ωL and ωH are the low and high half-power frequencies).ii. Determine element values.iii. Produce a frequency responseplot for the impedance magnitude! RC circuit problem