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10. Given a series RLC circuit (below) with a0-1 rad/s, Q = 12. a. Calculate the...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient Response (Remember EE280, maybe not) M SR v(t) Consider a series RLC circuit, with a resistor R, inductor L, and capacitor C in series. The same current i(t) flows through R, L, and C. The switch S1 is initially closed and S2 is initially open allowing the circuit to fully charge. At t=0 the switch S1 opens and S2 closes as shown above. Solving...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom and in the labs. Assume that the voltage source is arbitrary and there is a non-zero charge, g(0), on the capacitor at time t 0 when a switch is closed to start current flow. For this question assume variable R, L and C values. (a) Write down the differential equation that describes the charge on the capacitor as a function of time. (2 marks)...
Need the matlab code for plots Consider the RLC circuit in Fig. 5, based on the...
Need the matlab code for plots
Consider the RLC circuit in Fig. 5, based on the differential equation relating x() and y() that you obtained from the pre-lab exereise, f -0.2H, C-04F and R-52. i. Plot the zero-input response if y(0)- 1 and y (0)-8 i. Plot the total output response y() if the input signal is [3sin()+2co)), with y(0)= l and y'(0)= 8; Label your plots properly. x(t) Ф R y(t) Fig. 5 RLC circuit network with a shunt...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory wi...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
RLC circuit in series A resistor R is connected in series to an inductor L and...
RLC circuit in series A resistor R is connected in series to an inductor L and a capacitor C, without any external emf sources. (a) Using the fact that the energy stored in both the capacitor and the inductor is being dissipated in the resistor, show that the charge on the capacitor q(t) satisfies the differential equation d^2 q/ dt^2 + Rdq/Ldt + q/LC = 0. This is the equation of a damped oscillator and it has a solution of...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
A series RLC circuit has resonance angular frequency 2.00 10^3 rad/s. When it is operating at...
A series RLC circuit has resonance angular frequency 2.00 10^3 rad/s. When it is operating at some input frequency, XL = 12.0 ohm and XC = 8.00 ohm. (a) Is this input frequency higher than, lower than, or the same as the resonance frequency? Explain how you can tell. (b) Explain whether it is possible to determine the values of both L and C. (c) If it is possible, find L and C. If it is not possible, give a...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1)...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented by The circuit is driven by voltage source ean). And the crcuit elements are resistance R 0.4 capacitance C 0.04F, and inductance L 0.002H. At time t 0, the voltage source is stepped from zero to 2V (the circuit elements initially have zero charge and zero current). Determine the solution for charge q(t) stored in the capacitor using Laplace transform methods.
(1 point) In an RLC series circuit, the rms potential difference provided by the source is...
(1 point) In an RLC series circuit, the rms potential difference provided by the source is V = 190 V, and the frequency is f = -0 Hz. Given that L = 0.6 H, C = 75 uF, and VR = 20 V, find: a) I (rms); I = b) R; R= c) VL (rms); VL = d) Vc (rms). Vc =
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient Response (Remember EE280, maybe not) M SR v(t) Consider a series RLC circuit, with a resistor R, inductor L, and capacitor C in series. The same current i(t) flows through R, L, and C. The switch S1 is initially closed and S2 is initially open allowing the circuit to fully charge. At t=0 the switch S1 opens and S2 closes as shown above. Solving...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom and in the labs. Assume that the voltage source is arbitrary and there is a non-zero charge, g(0), on the capacitor at time t 0 when a switch is closed to start current flow. For this question assume variable R, L and C values. (a) Write down the differential equation that describes the charge on the capacitor as a function of time. (2 marks)...
Need the matlab code for plots
Consider the RLC circuit in Fig. 5, based on the differential equation relating x() and y() that you obtained from the pre-lab exereise, f -0.2H, C-04F and R-52. i. Plot the zero-input response if y(0)- 1 and y (0)-8 i. Plot the total output response y() if the input signal is [3sin()+2co)), with y(0)= l and y'(0)= 8; Label your plots properly. x(t) Ф R y(t) Fig. 5 RLC circuit network with a shunt...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
Problem 1 (Problem Solving Workshop 1) For a parallel RL circuit R-10, L 1H Determine 1) 21 3) 4) The transfer function H(s) = (s), the pole-zero map, and the step response. Let L(0) - OA The state and output equations. Let Lt) be the state variable The block diagram of this system. Let (O) = -1 The response (t) due to a step input (t) = (t) A) using a known software. Problem #2 (Problem Solving Workshop 1) For...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented by The circuit is driven by voltage source ean). And the crcuit elements are resistance R 0.4 capacitance C 0.04F, and inductance L 0.002H. At time t 0, the voltage source is stepped from zero to 2V (the circuit elements initially have zero charge and zero current). Determine the solution for charge q(t) stored in the capacitor using Laplace transform methods.
(1 point) In an RLC series circuit, the rms potential difference provided by the source is V = 190 V, and the frequency is f = -0 Hz. Given that L = 0.6 H, C = 75 uF, and VR = 20 V, find: a) I (rms); I = b) R; R= c) VL (rms); VL = d) Vc (rms). Vc =
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