0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential equations and solve them to find the response i(t for t>0. Specify whether it is an underdamped, critically damped or overdamped case.
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A second-order RLC circuit is shown in Fig. 1 0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC cir...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
1) Derive the 2d order differential equation for the circuit and solve the equation for a...
1) Derive the 2d order differential equation for the circuit and solve the equation for a natural response and a forced response using initial conditions. Do not use Laplace Transforms. After finding the differential equation, classify the system as critically damped, overdamped, or underdamped and derive the response equation. 12 V 20㏀ 10 mH
0 in the series RLC circuit shown in Figure 2 switches 51 and 52 both open...
0 in the series RLC circuit shown in Figure 2 switches 51 and 52 both open at t -0. Solve the differential equation for loop current I (t) when the res has a value of 1 Ohm. Be sure to show all work and specify values for alpha, WO, W d, S1, S2, (o), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts a: - Wo =...
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open...
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open at ta 0. Solve the differential equation for loop current 1(t) when the resistor R has a value of 2 Ohms. Be sure to show all work and specify values for alpha, wo , W d, 51, 52, (0), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts) a - Wo=-...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or the 0.4uF capacitor before the switch in the circuit shown in the figure below is closed. Find S2 Key= A 2800 1. 0.4uF - 3. Discharge response of series RLC circuit. The circuit had been in steady state prior to moving the switch at t=0. Find = Key = Space Key C1 0.44F For both circuits: a) Is the response underdamped, overdamped, or critically...
The switch in the circuit of Figure 1 has been in position A for a long...
The switch in the circuit of Figure 1 has been in position A for a long time. At t-0, it is moved to position B The resulting step response of the series RLC circuit is described by the r differential equation (1). Figure 1 dt L dt LC LC The solution to equation (1) has two components the transient response vt(t) and the steady state response, Vss(t) v(t)v(t)+ Vss(t) The transient response v(t) is the same as that for the...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with a DC current source I1 = IDc feeding the parallel combination. The circuit is shown with the source II being turned ON at time to Assume the capacitor C1 and inductor L1 are initially unchanged. Denote the currents IR, IL, Io as the currents through RI, L1 and C1 respectively. 7/28/20, 5:12 am https://useonline.southalabama.edu/courses/41 a) Employ KCL to obtain the integro-differential equation for the...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with a DC current source I1 = IDc feeding the parallel combination. The circuit is shown with the source II being turned ON at time to Assume the capacitor C1 and inductor L1 are initially unchanged. Denote the currents IR, IL, Io as the currents through RI, L1 and C1 respectively. 7/28/20, 5:12 am https://useonline.southalabama.edu/courses/41 a) Employ KCL to obtain the integro-differential equation for the...
8-2: (30) Consider the series RLC circuit driven by a source v = u(1). Determine the...
8-2: (30) Consider the series RLC circuit driven by a source v = u(1). Determine the response (0) to the unit step source. Consider these cases : R-40, R=522 and R. Rr wur ч- IH ty - uBv AF HI - + *Don't use "Laplace Transform".. I did not learn it * You can choose and use one you need among the next things - overdamped case critically damped case underdamped case step response
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from t...
use MATLAB functions to solve this problem
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from the solution of the V 2nd-order ODE to v t-0 d2i ndi 1 where R, L, and c are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor, respectively. (a) Solve the equation for i in terms of L, R, C, and t, assuming that at...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
1) Derive the 2d order differential equation for the circuit and solve the equation for a natural response and a forced response using initial conditions. Do not use Laplace Transforms. After finding the differential equation, classify the system as critically damped, overdamped, or underdamped and derive the response equation. 12 V 20㏀ 10 mH
0 in the series RLC circuit shown in Figure 2 switches 51 and 52 both open at t -0. Solve the differential equation for loop current I (t) when the res has a value of 1 Ohm. Be sure to show all work and specify values for alpha, WO, W d, S1, S2, (o), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts a: - Wo =...
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open at ta 0. Solve the differential equation for loop current 1(t) when the resistor R has a value of 2 Ohms. Be sure to show all work and specify values for alpha, wo , W d, 51, 52, (0), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts) a - Wo=-...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or the 0.4uF capacitor before the switch in the circuit shown in the figure below is closed. Find S2 Key= A 2800 1. 0.4uF - 3. Discharge response of series RLC circuit. The circuit had been in steady state prior to moving the switch at t=0. Find = Key = Space Key C1 0.44F For both circuits: a) Is the response underdamped, overdamped, or critically...
The switch in the circuit of Figure 1 has been in position A for a long time. At t-0, it is moved to position B The resulting step response of the series RLC circuit is described by the r differential equation (1). Figure 1 dt L dt LC LC The solution to equation (1) has two components the transient response vt(t) and the steady state response, Vss(t) v(t)v(t)+ Vss(t) The transient response v(t) is the same as that for the...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with a DC current source I1 = IDc feeding the parallel combination. The circuit is shown with the source II being turned ON at time to Assume the capacitor C1 and inductor L1 are initially unchanged. Denote the currents IR, IL, Io as the currents through RI, L1 and C1 respectively. 7/28/20, 5:12 am https://useonline.southalabama.edu/courses/41 a) Employ KCL to obtain the integro-differential equation for the...
Question 5 20 pts Н w R1 L1 C1 A parallel RLC circuit is shown with a DC current source I1 = IDc feeding the parallel combination. The circuit is shown with the source II being turned ON at time to Assume the capacitor C1 and inductor L1 are initially unchanged. Denote the currents IR, IL, Io as the currents through RI, L1 and C1 respectively. 7/28/20, 5:12 am https://useonline.southalabama.edu/courses/41 a) Employ KCL to obtain the integro-differential equation for the...
8-2: (30) Consider the series RLC circuit driven by a source v = u(1). Determine the response (0) to the unit step source. Consider these cases : R-40, R=522 and R. Rr wur ч- IH ty - uBv AF HI - + *Don't use "Laplace Transform".. I did not learn it * You can choose and use one you need among the next things - overdamped case critically damped case underdamped case step response
use MATLAB functions to solve this problem
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from the solution of the V 2nd-order ODE to v t-0 d2i ndi 1 where R, L, and c are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor, respectively. (a) Solve the equation for i in terms of L, R, C, and t, assuming that at...
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