part a
Part b
Kirchoff rule
Part c
Part d
So
and
Part e
maximum I2 ocuurs at
Z, L mimi I -Ť → Eocoswt Figure 2: A series LCR circuit. 1. A series...
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....
Q13. For a series R-L circuit fed by a voltage V-Vmarcoso, give expressions for (a) the complex power; (b) the reactive power; (c) average power 014. For a parallel R-C circuit fed by a voltage V-Vmacoscor, give expressions for (a) the complex power; (b) the reactive power; (c) average power.
Given for a series LRC circuit that I=V/Z and that Z=[R2+(omega L-1/(omega C))2]1/2 explain the interesting result about the current and power to R. These result from special values of R, L, and C
In a series L-R-C circuit, the components have the following values: L = 20.0 mH, C = 140 nF, and R = 350 Ohm. The generator has an rms voltage 120 V and a frequency of 1.25 kHz. Part A Determine the average power supplied by the generator. P = W Submit My Answers Give Up Part B Determine the average power dissipated in the resistor. PR = W Submit My Answers Give Up
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...
Exercise 31.20 In a series L-R-C circuit, the components have the following values: L =20.0 mH. C =140 nF and R= 350 2. The generator has an rms voltage of 120 V and a frequency of 1.25 kHz. Part A Determine the average power supplied by the generator ANSWER: P- w Part 8 Determine the average power dissipated in the resistor. ANSWER: PR- w
and R - 50.00 is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 A sinusoidal voltage Av 43.0 sin 100t, where av is in volts and (a) What is the impedance of the circuit? (b) What is the maximum current? lmay sin (out ). (c) Determine the numerical value for w in the equation i Trad/s in the equation / Imax sin ( - ). (d) Determine the numerical value for...
3. Natural response, for ? > 0 of a series R-L-C circuit has R = 1 Ω , L = 1 H and C = 1 F. The initial capacitor voltage is 4 V, and initial inductor current is zero. The series current is i. (i) Draw the time domain circuit. (ii) Draw the Laplace transform domain circuit. (iii) From (ii), determine Io =Io (s) (iv) From (iii), determine ?? = ??(?) for t > 0
Review | Constants A series L-R-C circuit is driven with AC voltage of amplitude Vin and frequency w. Define Vout to be the amplitude of the voltage across the capacitor. The resistance of the resistor is R, the capacitance of the capacitor is C, and the inductance of the inductor is L. (Figure 1) Part A What is the ratio Viin Figure Express your answer in terms of either R, w, L, and C or R, XL = wl, and...
Question 4 In Figure Q4, a resistance, R is connected in series with an iron-cored choke coil (r in series with L). The circuit draws a current of 5 A at 240 V, 60 Hz. The voltages across the resistance and the coil are 100 V and 200 V respectively. Analyze the circuit to determine the following (a) the resistance, reactance and impedance of the coil, (b) the power absorbed by the coil, and (c) the power factor (pf) of...