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For the circuit shown below, the switch has been closed at position A for a long...
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...
You are given the circuit shown below. The switch has been at the position shown for...
You are given the circuit shown below. The switch has been at the position shown for a long time before being moved at t = 0. You are told that C = 0.25F, L = 2H, R1 = 100. LR + VL -+ VR. =O Use the same sort of methodical approach as before: a) Determine i, (0+), vc(0+) and ic(0+) b) Determine di 2007 and doc0* c) Determine the steady-state value for the voltage Vc.final d) Use circuit analysis...
1) In the following circuit the switch has been closed for a long time and is...
1) In the following circuit the switch has been closed for a long time and is opened at t0 S1 R1 ?0 V1 R2 L1 10H C1 (a) Find i1(0)=--, ife)- Ve(00) = 4 points (b) Write the differential equation for the circuit. 4 points (c) Write the circuit characteristic equation. 2 points (d) Determine the roots of the characteristic equation. 6 points (e) Is the circuit overdamped, critically damped or underdamped? 2 points
3. Use the circuit below to answer the following questions. The switch has been in the...
3. Use the circuit below to answer the following questions. The switch has been in the initial position shown for a long time. At t=0, the switch disconnects the 2 V source from the circuit with R2, L1, and Ci, and connects to Il and Ri. S1 t=0 R2 L1 1000 33mH 1A 31000 2v C1 +1 47uF Fill in the table below. Please remember to include units with your answers. Immediately before 1-0. Immediately after 1-0. Long after 1...
5) In the circuit shown below, the switch had been in position a for a long...
5) In the circuit shown below, the switch had been in position a for a long time. At t-0, the switch was moved instantaneously to position b, and stayed there for 0.1[s]. Then, at t0.1[s] the switch was moved instantaneously back to position a, and remained there For the time periods 0t<0.1[s] and t> 0.1[s], find the numerical expressions for the voltage vR(t), as defined in the circuift. R,-10[Ω] S1 100[V] S2 L2 200V] 3H 2H]
A second-order RLC circuit is shown in Fig. 1 0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC cir...
A second-order RLC circuit is shown in Fig. 1 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.
A second-order RLC circuit is shown in Fig. 1
0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential...
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0....
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0. It contains a capacitor that was charged to v.(0") = 75 V and an inductor that was charged to i (0°) = 3 A. 10) Is this circuit overdamped, underdamped, or critically damped [2 points A) Is this circuit displaying a natural or step response? (2 points) Solve for y(t) fort > 0 [8 points) +35w 13.230.išao Ous. "
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.
Problem 5: Consider the circuit shown in the figure below in which the initial inductor current...
Problem 5: Consider the circuit shown in the figure below in which the initial inductor current and capacitor voltage are both zero. (a) Write the differential equation for vc(t). (b) Find the particular solution. (c) Is this circuit overdamped, critically damped, or underdamped? 4 0 i(t) vc()
For the circuit in figure below, the switch has been in position a for a long...
For the circuit in figure below, the switch has been in position a for a long time. At t=0, it moves to position b. Calculate v(t) for all t>0. 20 kg 20 kg 120 Vo bo 20 V 5 F Zan 50 V For v(t) given in the form: v(t) = A+Be-t/c v for t>o Enter numerical values (with a negative sign if needed) for the constants A, B and C below: A = B = C =
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...
You are given the circuit shown below. The switch has been at the position shown for a long time before being moved at t = 0. You are told that C = 0.25F, L = 2H, R1 = 100. LR + VL -+ VR. =O Use the same sort of methodical approach as before: a) Determine i, (0+), vc(0+) and ic(0+) b) Determine di 2007 and doc0* c) Determine the steady-state value for the voltage Vc.final d) Use circuit analysis...
1) In the following circuit the switch has been closed for a long time and is opened at t0 S1 R1 ?0 V1 R2 L1 10H C1 (a) Find i1(0)=--, ife)- Ve(00) = 4 points (b) Write the differential equation for the circuit. 4 points (c) Write the circuit characteristic equation. 2 points (d) Determine the roots of the characteristic equation. 6 points (e) Is the circuit overdamped, critically damped or underdamped? 2 points
3. Use the circuit below to answer the following questions. The switch has been in the initial position shown for a long time. At t=0, the switch disconnects the 2 V source from the circuit with R2, L1, and Ci, and connects to Il and Ri. S1 t=0 R2 L1 1000 33mH 1A 31000 2v C1 +1 47uF Fill in the table below. Please remember to include units with your answers. Immediately before 1-0. Immediately after 1-0. Long after 1...
5) In the circuit shown below, the switch had been in position a for a long time. At t-0, the switch was moved instantaneously to position b, and stayed there for 0.1[s]. Then, at t0.1[s] the switch was moved instantaneously back to position a, and remained there For the time periods 0t<0.1[s] and t> 0.1[s], find the numerical expressions for the voltage vR(t), as defined in the circuift. R,-10[Ω] S1 100[V] S2 L2 200V] 3H 2H]
A second-order RLC circuit is shown in Fig. 1 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.
A second-order RLC circuit is shown in Fig. 1
0.05F 3Ω 2Ω 6A 6A 5H Fig.1 A second-order RLC circuit with a switch (1) Analytical part: derive the differential...
Figure 1 shows a circuit after some switch-flipping and is now at time t = 0. It contains a capacitor that was charged to v.(0") = 75 V and an inductor that was charged to i (0°) = 3 A. 10) Is this circuit overdamped, underdamped, or critically damped [2 points A) Is this circuit displaying a natural or step response? (2 points) Solve for y(t) fort > 0 [8 points) +35w 13.230.išao Ous. "
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.
Problem 5: Consider the circuit shown in the figure below in which the initial inductor current and capacitor voltage are both zero. (a) Write the differential equation for vc(t). (b) Find the particular solution. (c) Is this circuit overdamped, critically damped, or underdamped? 4 0 i(t) vc()
For the circuit in figure below, the switch has been in position a for a long time. At t=0, it moves to position b. Calculate v(t) for all t>0. 20 kg 20 kg 120 Vo bo 20 V 5 F Zan 50 V For v(t) given in the form: v(t) = A+Be-t/c v for t>o Enter numerical values (with a negative sign if needed) for the constants A, B and C below: A = B = C =
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