![(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] Give the time constant of Part (b) (d) [5 pts] Calculate the steady-state inductor current for t>o. R2 t 0 R4 R1 Vs R3 Figure 3](http://img.homeworklib.com/questions/e0203c50-c3d4-11ea-bb0f-753dc5498a48.png?x-oss-process=image/resize,w_560)
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(3) The RL circuit shown in Figure 3 has a switch that is closed att 0....
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You...
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You are given I1 =10 mA, R1=R2=1 ks2, and L=10 mH. (a) [3 pts] Using Figure 1, with an open switch, calculate the steady state current through the inductor. (b) [12 pts) Using Figure 2, with a closed switch, derive the differential equation as an expression of the inductor current. (c) [2 pts] Using your answer to Part (b), calculate the time constant. (d) [4...
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,...
Question 21 No Initial energy in Inductor. V 480 Volts. Switch S has been open for...
Question 21 No Initial energy in Inductor. V 480 Volts. Switch S has been open for long. R1 R2 R3- R4 R5 80 Ohms. Inductance L-4 H enries. Switch S closed at timet-0. .a) What are values of current Is through Switch, and current lIL current IR1 through R1, and voltage VL across inductance atto-, just before the switch is closed? R1 R3 It Is R2 . at (t0- Is... IL R. Vu .b) What are the values of IS,...
Determine il(t) for in the circuit of Fig. P12.21 for t=16 ms, given that the switch...
Determine il(t) for in the circuit of Fig. P12.21 for t=16 ms, given that the switch was opened at t= 0 after it had been closed for a long time, vs = 12 mV, RO = 50, R1 = 10 A, R2 = 20 . L = 0.2 H, and C = 6 mF. Give the current in micro Amperes, Hint, the initial conditions are zero and the steady state current in the inductor will be 800 microAmps. Correct Answer:...
In the circuit shown below in Figure #2, Switch U2 is normally closed and Switch U1...
In the circuit shown below in Figure #2, Switch U2 is normally
closed and Switch U1 is normally open. At t= 0 seconds switch U1
closes. After 100 milli-seconds have passed, switch U2 opens.
Assume the inductor has zero current at t=0 - (before switch U1
closes). Determine the following:
a) Rth and τ when switch U1 closes.
b) Rth and τ when switch U2 opens.
c) the equation for the current through the inductor during the
charge cycle.
d)...
A circuit is constructed with four resistors, one inductor, one battery and a switch as shown....
A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1-R2-76 Ω, R3-105 Ω and R4-810. The inductance is L-478 mH and the battery voltage is V-24 V 1) The switch has been open for a long time when at time t - o, the switch is closed. What is 11(0), the magnitude of the current through the resistor R1 just after the switch is closed? A uIii...
I4(0) ... current through R4 just after switch is closed ... = 0.04196 A I4(∞) ......
I4(0)
... current through R4 just after switch is closed ... =
0.04196 A
I4(∞) ... current through
R4 after switch has been closed for a very long time ...
= 0.05539 A
IL(∞) ... current through inductor
after switch has been closed for a very long time ... =
0.03767 A
VL,max(closed) ... maximum voltage
across inductor during the time when switch is closed ... =
4.28 V
VL,max(open) ... maximum voltage
across inductor during the time when switch...
At t=0 the switch in the figure is closed. Both capacitors areuncharged when the switch...
At t=0 the switch in the figure is closed. Both capacitors are
uncharged when the switch is closed.a) Find an expression for the energy stored in each capacitor
when the circuit reaches equilibrium. Your answers can include Ɛ,
R1, R2, C2, R3, and C3.b) Find an expression for the rate at which energy is drained
from the battery at t=0. Your answer can include Ɛ, R1, R2, C2, R3,
and C3. c) For this part assume that R3=R2 and C3=C2....
In the circuit shown in the figure, the battery is ideal, = 12.6 V, L =...
In the circuit shown in the
figure, the battery is ideal, = 12.6 V, L = 11.3 mH, R1 = 11.1 ?,
and R2 = 20.1 ?. The switch has been open for a long time before it
is closed at t = 0. At what rate is the current in the inductor
changing (a) immediately after the switch is closed and (b) when
the current in the battery is 0.530 A? (c) What is the current (in
A) in...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You are given I1 =10 mA, R1=R2=1 ks2, and L=10 mH. (a) [3 pts] Using Figure 1, with an open switch, calculate the steady state current through the inductor. (b) [12 pts) Using Figure 2, with a closed switch, derive the differential equation as an expression of the inductor current. (c) [2 pts] Using your answer to Part (b), calculate the time constant. (d) [4...
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,...
Question 21 No Initial energy in Inductor. V 480 Volts. Switch S has been open for long. R1 R2 R3- R4 R5 80 Ohms. Inductance L-4 H enries. Switch S closed at timet-0. .a) What are values of current Is through Switch, and current lIL current IR1 through R1, and voltage VL across inductance atto-, just before the switch is closed? R1 R3 It Is R2 . at (t0- Is... IL R. Vu .b) What are the values of IS,...
Determine il(t) for in the circuit of Fig. P12.21 for t=16 ms, given that the switch was opened at t= 0 after it had been closed for a long time, vs = 12 mV, RO = 50, R1 = 10 A, R2 = 20 . L = 0.2 H, and C = 6 mF. Give the current in micro Amperes, Hint, the initial conditions are zero and the steady state current in the inductor will be 800 microAmps. Correct Answer:...
In the circuit shown below in Figure #2, Switch U2 is normally
closed and Switch U1 is normally open. At t= 0 seconds switch U1
closes. After 100 milli-seconds have passed, switch U2 opens.
Assume the inductor has zero current at t=0 - (before switch U1
closes). Determine the following:
a) Rth and τ when switch U1 closes.
b) Rth and τ when switch U2 opens.
c) the equation for the current through the inductor during the
charge cycle.
d)...
A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1-R2-76 Ω, R3-105 Ω and R4-810. The inductance is L-478 mH and the battery voltage is V-24 V 1) The switch has been open for a long time when at time t - o, the switch is closed. What is 11(0), the magnitude of the current through the resistor R1 just after the switch is closed? A uIii...
I4(0)
... current through R4 just after switch is closed ... =
0.04196 A
I4(∞) ... current through
R4 after switch has been closed for a very long time ...
= 0.05539 A
IL(∞) ... current through inductor
after switch has been closed for a very long time ... =
0.03767 A
VL,max(closed) ... maximum voltage
across inductor during the time when switch is closed ... =
4.28 V
VL,max(open) ... maximum voltage
across inductor during the time when switch...
At t=0 the switch in the figure is closed. Both capacitors are
uncharged when the switch is closed.a) Find an expression for the energy stored in each capacitor
when the circuit reaches equilibrium. Your answers can include Ɛ,
R1, R2, C2, R3, and C3.b) Find an expression for the rate at which energy is drained
from the battery at t=0. Your answer can include Ɛ, R1, R2, C2, R3,
and C3. c) For this part assume that R3=R2 and C3=C2....
In the circuit shown in the
figure, the battery is ideal, = 12.6 V, L = 11.3 mH, R1 = 11.1 ?,
and R2 = 20.1 ?. The switch has been open for a long time before it
is closed at t = 0. At what rate is the current in the inductor
changing (a) immediately after the switch is closed and (b) when
the current in the battery is 0.530 A? (c) What is the current (in
A) in...
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