Consider an RLC circuit consisting of a charged 500-
in this problem we need to convert time domain to frequency domain
transfer function=I(s)/V(s)
I(s)/V(s) =CS/(LCS2+RCS+1)
characteristic equation
LCS2+RCS+1=0
1)
R=0
W=sqrt(1/LC)
=sqrt(1/3*10-3*500*10-6)
=sqrt(6.66*105)
=0.81*103
f=0.81*1000/2*3.14
=129.36Hz
b)
W=R/2L
=16/2*32*10-3
=250
F=250/2*3.14
=39.8Hz
c)
for rhis we will get complex conjugate roots
d)
here we will get two different frequencies according to roots of characteristic equation
17. Consider a series RLC circuit consisting of a 3.5 resistor, a 8.8 x 10-3 H inductor, and a 5.60 x 10-3 F capacitor. The circuit is driven by a rms emf of 210 V running at 60 Hz. a) What is the impedance of the circuit? V(i) =V, sinot b) Let the current at any instant in the circuit be I(C) = 1, sin(@t-). Find I. c) What is the phase angle between the generator voltage and the current?
The reasonant frequency of an RLC circuit with a 500 resistor, 15 mH inductor, and a capacitor is ?
Consider the RLC series AC circuit. If the phase angle of the circuit is negative, this means that the... current leads the emf. the circuit is in resonance the circuit is more inductive than capacitive the emf leads the current the emf and current are in phase
5) For the RLC circuit, assume that the capacitor is initially charged and after the switch is closed, show that the differential equation for the current is: d1 Rd 1 dt Ld LC (Hint: Start by writing voltages for each component VR, VL & Vc, and add them to zero (using Kirchhoff's voltage rule) then differentiate).
1. RLC Circuits Revisited. The first example of a RLC circuit illustrates the use of circuit elements in the s domain to represent initial conditions and a forced response. Next an example of sinusoidal excitation will follow where the transient response and steady state response are combined into one response waveform.. Transient RLC Circuit with Initial Conditions. Consider the RLC circuit below in Figure 7.14 which has two DC sources (Vco and V) applied before and after a switch is...
Consider the RLC circuit below, with R= 20 12, L = 10 mH, and C = 5 mF. The voltage source has a voltage amplitude of 26.0 V and an angular frequency of w = 500 rad/s. a) What is the total impedance of the circuit? b) Find the amplitude of the current, and the phase angle, d. c) Draw a phasor diagram of the impedances. Be sure to clearly label Z, R, XL, Xc, and 0. R C E
Consider a mixed RLC circuit where an ideal capacitor of capacitance C = 73.0 ?F and an ideal inductor of inductance L = 455.0 mH are connected in parallel, and their combination is in series with a resistor of resistance R = 222.0 ?.What is the angular resonance frequency ? of this mixed RLC circuit
Consider an RLC circuit that is driven by an AC source with an adjustable frequency. Is possible for the maximum voltage drop across the capacitor to exceed the maximum voltage? Please explain with some detail.
Q10) A series RLC circuit is connected to AC source of V(t) = 500 sin (3461) and I(t) = 5 sin (346t - 0.643) if C = 50 uF and R= 80 12, (*inside the sine is given in the unit of radian; Irad = 180° /n) Calculate the followings: 1- The total impedance Z of the circuit. ii- The average power Pay of the circuit.
Consider a series RLC circuit where the resistance ?=753 Ω , the capacitance ?=2.25 μF , and the inductance ?=95.0 mH . Determine the resonance frequency ?0 of the circuit.