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In the following second-order circuit, R is resistance and C is capacitance. a) Calculate and plot...
an rc circuit consisting of capacitance C and resistance R is driven by external voltage Vo[cos(wt) + sin(wt)]. The charge q(t) of the capacitors described by the equation: R *dq(t)/dt +q(t)/C = Vo[cos(wt) + sin(wt)] Find there solution using phasor method. Assume all parameters are given.
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC circuit is given in Figure Q7 (a). Determine; (i) the time domain input-output relationship of the RLC circuit, (3 marks) (ii) the frequency response, H(W) of the circuit, (3 marks) (iii) the impulse response, h(t) given that R = 12, C = 1 F and L = 2 H. (4 marks) (b) An input vi(t) = e-ztu(t) is passed as the input to the...
7 A circuit consists of a resistor of resistance R, and a capacitor of capacitance C, connected in series, and is described by the first order differential equation - + y = E where E is the constant e.m.f. and v is the voltage across the capacitor. Given that v(O) = 0, show by using the integrating factor method that v = E(1 - e-t/(RC))
numerical methods with programming
1. An electrical circuit with a resistance R, a capacitance C, and an inductance L has an initial charge go across the capacitor. When the circuit is closed , the charge is dissipated in timet given by = e-Rt/2Lcos Determine the value of L required for (g/qo) to attain a value of 0.1 in a time t = 0.03s when R 2002 and C 10 farad by one of the bracketing methods or by the secant...
Find the time constant in the following circuit for the given
Capacitance and Resistance values.
The voltage source is represented by:
The capacitance and resistance values are the following:
R M V u(t) C V(t) = V5(1 -e =) R C 1 kΩ 0.01 μF 10 kΩ 0.01 μF
PROBLEM #2: In the circuit shown, suppose that R and C are given. The transfer function of the circuit is G(s)== RCs +1 The impulse response of the circuit is g(t)== Let/RC ·u,(t). RC CV.CO Given that the input voltage is v;(t)=u,(t), determine the zero-state response v.(t) for t20 in two equivalent ways: (a) Use convolution. That is, compute the integral vo(t) = [ 8(t – T )v;()dt. (b) Use Laplace transforms. That is, compute vo(t) = ('{G(s)V;(s)}.
2) What is R, the value of the resistance of the circuit?
3) What is C, the value of the capacitance of the circuit?
AC Circuit in Resonance 1 1 235 A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ?-Ya Emsinot, where em-120 V and346 radians/second. The inductance L = 293 mH. The values for the capacitance C and the resistance R are e,sin(ar) a across...
In Circuit \(\mathrm{A}\) in Figure 3, each resistor has a resistance of \(1 \mathrm{k} \Omega\) and each capacitor has a capacitance of \(2 \mu \mathrm{F}\). Circuit A can be simplified to the equivalent Circuit B in Figure 3 .(a) Determine the equivalent resistance R and the equivalent capacitance C. Write your final answers in the blank spaces below Circuit B in Figure 3 .For the remainder of this question, refer to Circuit \(\mathrm{B}\). In Circuit \(\mathrm{B}\), the capacitor is allowed to charge...
In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a... In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of time (where t=0 is the moment the circuit is energized by closing a switch) is given by the equation Q(t)=CV(1-e-t/(RC), where C, V, and R are constants. Further, the instantaneous charging current Ic is the rate of change of charge on the capacitor, or Ic=dQ/dt a. Find the...
8.1 The resistance, inductance, and capacitance in a parallel RLC circuit are 1 kN, 12.5 H, and 2 uF, respectively. a. Calculate the roots of the characteristic equation that describe the voltage response of the circuit. b. Will the response be over-, under-, or critically damped? c. What value of R will yield a damped frequency of 120 rad/s? d. What are the roots of the characteristic equation for the value of R found in (c)? e. What value of...