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(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and...
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0....
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0. Assume that the circuit has reached steady state prior to the switch closing. You are given R1 1 kQ, R2-10 kQ, R3-R4-100 k2, L 10 mH, Vs-5 V. (a) [15 pts] Calculate the steady-state inductor current before the switch is closed (b) [16 pts] Give the differential equation as an expression of the inductor current fort>0 (i.e. write the differential equation) (c) 13 pts]...
5. [RC Circuits] Consider the circuit shown in Figure 5 attached. As shown, the switch is...
5. [RC Circuits] Consider the circuit shown in Figure 5 attached. As shown, the switch is in position "A" for t < 0, and the circuit has been at rest for a long time. At time t = 0, the switch opens and the capacitor starts to drain across the resistor. (a) When the switch is closed and there is only a direct current (DC) source, the capacitor acts like an open circuit. Find the constant voltage across the capacitor...
Question 4: RC Circuit: a) Charging capacitor: A simple RC circuit is given in Figure 4a....
Question 4: RC Circuit: a) Charging capacitor: A simple RC circuit is given in Figure 4a. The capacitor is empty initially and switch was open for a long time. 4E, (V) EMF is used to charge the capacitor as switch is closed at t=0s. By using Kirchhoff's voltage law and Ohm's law that you learned so far, analyze this circuit and find the unknowns given below. 1)At t=0s. draw the equivalent circuit and find v. (Os), i. (Os), i (Os),...
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch...
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch has been opened long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is closed. t-0 Figure 2: The switch in the RC circuit is closed at timet0 1. (6 points) Find the voltage v(0-) and the current i(0) just before the switch is closed. 2. (6 points) Find the voltage v(0+) and the current i(0+)immediately...
Problem 4 In the circuit shown below, the switch has been opened for a very long...
Problem 4 In the circuit shown below, the switch has been opened for a very long time prior to t= 0 and closes at t = 0 and remains closed for a long time. Please find: a) i (0), vc(ot), b) the steady-state voltage across the capacitor in terms of Us, Rı, and R2 c) the steady state current through the inductor in terms of Us, Ry, and R2 d) Write the differential equation for it) in terms of Vs,...
Q2. In the RC Circuit shown in Figure 2, the capacitor is initially uncharged (at time...
Q2. In the RC Circuit shown in Figure 2, the capacitor is
initially uncharged (at time t=0).
2- In the RC Circuit shown in Figure 2, the capacitor is initially uncharged (at time t=0). (ignore the internal resistance of the battery) Figure 2 C= 5.0nF a) Calculate the current I released by the battery, just after the switch S is closed at t=0, (7 pts) b) Calculate the max. power dissipated in the lightbulb, (9 pts) c) Now lets open...
In this RC circuit, at t = 0 second, switch 1 is closed, switch 2 is...
In this RC circuit, at t = 0 second, switch 1 is closed, switch
2 is left opened.
a. Determine the current through the uncharged capacitor and the
2 resistors at t = 0 second. (1.33 A)
b. Determine the current through the capacitor and the 2
resistors at t = 100 µs. (0.35 A)
c. For this part, switch 1 is left opened and switch 2 is closed
after the capacitor was charged for a very long time (assume...
2 First-Order RC Circuit: Natural Response The switch in the circuit in Figure 2 has been...
2 First-Order RC Circuit: Natural Response The switch in the circuit in Figure 2 has been in position for a long time. At t = 0, the switch moves to position (the switch opens) and stays there. Assuming that V. > O for the constant voltage source, (a) find vc(0-), vc(0+), ic(0-), and ic(0+); (b) find vc(t) when t 20 (if you want, you can write vo(t) by circuit inspection; you don't need to show the differential equation); and (c)...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
1. Consider this circuit with resistors and capacitors. The R2 battery V1 has a voltage of...
1. Consider this circuit with resistors and capacitors. The R2 battery V1 has a voltage of 9 V, the resistors R1 and R2 have values of 100 Ω and 50 Ω, and the capacitor C1 has a value of 100 nF. Initially, the switches S1 and S2 are open. S2 (10 points) Once we close S1, what will the voltage across Rl and Cl be? How much current initially flows around the closed loop? (10 points) The current in part...
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0. Assume that the circuit has reached steady state prior to the switch closing. You are given R1 1 kQ, R2-10 kQ, R3-R4-100 k2, L 10 mH, Vs-5 V. (a) [15 pts] Calculate the steady-state inductor current before the switch is closed (b) [16 pts] Give the differential equation as an expression of the inductor current fort>0 (i.e. write the differential equation) (c) 13 pts]...
5. [RC Circuits] Consider the circuit shown in Figure 5 attached. As shown, the switch is in position "A" for t < 0, and the circuit has been at rest for a long time. At time t = 0, the switch opens and the capacitor starts to drain across the resistor. (a) When the switch is closed and there is only a direct current (DC) source, the capacitor acts like an open circuit. Find the constant voltage across the capacitor...
Question 4: RC Circuit: a) Charging capacitor: A simple RC circuit is given in Figure 4a. The capacitor is empty initially and switch was open for a long time. 4E, (V) EMF is used to charge the capacitor as switch is closed at t=0s. By using Kirchhoff's voltage law and Ohm's law that you learned so far, analyze this circuit and find the unknowns given below. 1)At t=0s. draw the equivalent circuit and find v. (Os), i. (Os), i (Os),...
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch has been opened long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is closed. t-0 Figure 2: The switch in the RC circuit is closed at timet0 1. (6 points) Find the voltage v(0-) and the current i(0) just before the switch is closed. 2. (6 points) Find the voltage v(0+) and the current i(0+)immediately...
Problem 4 In the circuit shown below, the switch has been opened for a very long time prior to t= 0 and closes at t = 0 and remains closed for a long time. Please find: a) i (0), vc(ot), b) the steady-state voltage across the capacitor in terms of Us, Rı, and R2 c) the steady state current through the inductor in terms of Us, Ry, and R2 d) Write the differential equation for it) in terms of Vs,...
Q2. In the RC Circuit shown in Figure 2, the capacitor is
initially uncharged (at time t=0).
2- In the RC Circuit shown in Figure 2, the capacitor is initially uncharged (at time t=0). (ignore the internal resistance of the battery) Figure 2 C= 5.0nF a) Calculate the current I released by the battery, just after the switch S is closed at t=0, (7 pts) b) Calculate the max. power dissipated in the lightbulb, (9 pts) c) Now lets open...
In this RC circuit, at t = 0 second, switch 1 is closed, switch
2 is left opened.
a. Determine the current through the uncharged capacitor and the
2 resistors at t = 0 second. (1.33 A)
b. Determine the current through the capacitor and the 2
resistors at t = 100 µs. (0.35 A)
c. For this part, switch 1 is left opened and switch 2 is closed
after the capacitor was charged for a very long time (assume...
2 First-Order RC Circuit: Natural Response The switch in the circuit in Figure 2 has been in position for a long time. At t = 0, the switch moves to position (the switch opens) and stays there. Assuming that V. > O for the constant voltage source, (a) find vc(0-), vc(0+), ic(0-), and ic(0+); (b) find vc(t) when t 20 (if you want, you can write vo(t) by circuit inspection; you don't need to show the differential equation); and (c)...
Problem 2: /10 A) For the RC circuit of Figure 1, the switch is put in the position a at t=0 (charging phase). Report the time constant of the circuit t, , voltage Vc and current Ic at time t = t;/2 Fig. 2 3c B) At time t = 7, /2 , the switch in the RC circuit of Figure 2 is moved in the position b (discharging phase); Report the time constant of the circuit ta , voltage...
1. Consider this circuit with resistors and capacitors. The R2 battery V1 has a voltage of 9 V, the resistors R1 and R2 have values of 100 Ω and 50 Ω, and the capacitor C1 has a value of 100 nF. Initially, the switches S1 and S2 are open. S2 (10 points) Once we close S1, what will the voltage across Rl and Cl be? How much current initially flows around the closed loop? (10 points) The current in part...
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