1.6 For the circuit shown, derive the resonance frequency and plot the resonance frequency behavior as...
1. Derive the transfer function for the circuit shown below. Plot FH(s) versus frequency in Hertz, on a semilog scale. Re R 113 k R 22.6 12 R R 63.12 Rj F)
RLC Resonance a. 4. For the circuit shown, What is the resonance frequency in Hz? b. What is the circuit's peak current at resonance? If the inductance is doubled, what is the new resonance frequency in Hz? d. If instead of (c), the resistance is tripled, what is the new resonance frequency? C. 102 (10 V) cos ot W0004H 10 mH 10 uF
electromagnetic 19) RLC Circuit Resonance Frequency: (12 pts) (a) Identify the relation between the capacitive reactance (Xc) and inductive reactance (XL) that will minimize the total impedance (Z) of an RLC circuit. (b) Using this condition, derive the resonance frequency () of an RLC circuit. (c) Calculate the resonance frequency for an RLC circuit with: R=102 L=4H C=IF
QUESTION #2 PLEASE 1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
Problem 4 For the circuit in Fig. 3, frequency w a) Draw the impedance model of the circuit for a source b) Convert the voltage lence) and redraw the impedance model; (using Thevenin and Norton equiva- Source into a current source c) Using the results from part (b), derive the expressions to determine the resonance frequency of the circuit in terms of the circuit parameters; e) We would like to have a resonance peak gain frequency of fo equal to...
A series RLC circuit with a resistance of 125.0 Ω has a resonance angular frequency of 4.5 ✕ 105 rad/s. At resonance, the voltages across the resistor and inductor are 60.0 V and 40.0 V, respectively. (a) Determine the values of L and C. L = _____ H C = _____F (b) At what frequency does the current in the circuit lag the voltage by 45°? Hz
3. For the circuit shown, (a) what is the resonance frequency? (b) At resonance, what is the peak current through the circuit? (c) What is the average power delivered by the source? (Ch 26) 10 12 llllwn (10 V)cos (27ft) 10 mH 10 μF 2015
In a series LRC circuit, the frequency at which the circuit is at resonance is fo. If you double the resistance and the capacitance, what is the new resonance frequency?
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...