Please determine the following:
a) The initial inductor current i(0−)
b) The final inductor current i_final long after the switches have changed.
c) A neat circuit schematic for the transient period.
d) A differential equation for the inductor current in the circuit shown in part c.
e) The solution of the differential equation for t ≥ 0
Homework Answers
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Please determine the following:
a) The initial inductor current i(0−)
b) The final inductor current i_final...
Can you help me do b)? In the circuit below, a) For t < 0, the...
Can you help me do b)?
In the circuit below, a) For t < 0, the switch has been open for a long time, find the inductor current? b) For t > 0, the switch is closed at t=0, find the inductor current using Thevenin's equivalent at the terminals a and b? And sketch the current waveform? c) Then find the steady-state, transient, forced and natural components? 22 V 10 v t=0 X 22 §
do not use s domain method ,use only differential equation 3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time b...
do not use s domain method ,use only differential equation
3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ω R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
- 0 L-100mH For the circuit shown, if the initial current in the inductor was zero,...
- 0 L-100mH For the circuit shown, if the initial current in the inductor was zero, and the transient response of VR is as shown in the given curve, find R. CL + VL- V =?? ► VR (1) 2m 3m Time (s)
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()
Assume that the inductor in this circuit is an ideal (lossless) device, initial current is 0A....
Assume that the inductor in this circuit is an ideal
(lossless) device, initial current is 0A. At t=0, turn on the
switch; at t= 5t, turn off the switch. a-f please
2. Assume that the inductor in this circuit is an ideal (lossless) device, initial current is OA. At t-o, turn on the switch; at t. 5 τ, turn off the switch. (50pts) For 0 s t s5r: switch on a) Find the Thevenin equivalent circuit for the circuit inside...
Please do the problem if you can do ALL parts. t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capa...
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
7. Given the circuit below. The switch has been opened for a very long time. At...
7. Given the circuit below. The switch has been opened for a very long time. At t = 0, we close the switch. M 2007 M 100 av ile & 5mH a. What will be the initial current of the inductor at I.(t = 0)? (before switch is closed)? Why? b. What will be the final current of the inductor 1, (t +00)? (after switch has been closed for a long time) Why? C. Find the first order linear differential...
Assist ne please Question 3 NAME: The circuit shown below contains two switches which open and close perfectly out of phase with one another (only one is open at any given time, and once one cl...
Assist ne please
Question 3 NAME: The circuit shown below contains two switches which open and close perfectly out of phase with one another (only one is open at any given time, and once one closes the other immediately opens, and vice-versa). The switches alternate at a frequency of 10kHz, and each switch spends 50% of the time open and 50% of the time closed (ie, each switch is open for 100 microseconds and then closed for 100 microseconds). The...
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance...
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance. The switch is initially open and the initial charge on the capacitor is Qo. The switch is closed at time 1-0. Show that the charge, 4, on the capacitor is given by the time dependent function 9(t) = Qocos(at) where o is given by W= Hint: Apply...
2.5 kΩ 5H 3.0 uF The initial voltage at tO and current i(t)
2.5 kΩ 5H 3.0 uF The initial voltage at t<0, V40)-100 v and current i(0)-0. At t=0 the switch is closed. a. (10 points) Find a differential equation (in time domain) for the voltage across the inductor. (10 points) The following expression is the solution for the differential equation find in part b. Determine all the parameters in the solution α, A, B and ω. b. V()e (A Cos(ot)+ BSin(r)) c. (2 points) Determine the steady state current and the...
Can you help me do b)?
In the circuit below, a) For t < 0, the switch has been open for a long time, find the inductor current? b) For t > 0, the switch is closed at t=0, find the inductor current using Thevenin's equivalent at the terminals a and b? And sketch the current waveform? c) Then find the steady-state, transient, forced and natural components? 22 V 10 v t=0 X 22 §
do not use s domain method ,use only differential equation
3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ω R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
- 0 L-100mH For the circuit shown, if the initial current in the inductor was zero, and the transient response of VR is as shown in the given curve, find R. CL + VL- V =?? ► VR (1) 2m 3m Time (s)
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()
Assume that the inductor in this circuit is an ideal
(lossless) device, initial current is 0A. At t=0, turn on the
switch; at t= 5t, turn off the switch. a-f please
2. Assume that the inductor in this circuit is an ideal (lossless) device, initial current is OA. At t-o, turn on the switch; at t. 5 τ, turn off the switch. (50pts) For 0 s t s5r: switch on a) Find the Thevenin equivalent circuit for the circuit inside...
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
7. Given the circuit below. The switch has been opened for a very long time. At t = 0, we close the switch. M 2007 M 100 av ile & 5mH a. What will be the initial current of the inductor at I.(t = 0)? (before switch is closed)? Why? b. What will be the final current of the inductor 1, (t +00)? (after switch has been closed for a long time) Why? C. Find the first order linear differential...
Assist ne please
Question 3 NAME: The circuit shown below contains two switches which open and close perfectly out of phase with one another (only one is open at any given time, and once one closes the other immediately opens, and vice-versa). The switches alternate at a frequency of 10kHz, and each switch spends 50% of the time open and 50% of the time closed (ie, each switch is open for 100 microseconds and then closed for 100 microseconds). The...
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance. The switch is initially open and the initial charge on the capacitor is Qo. The switch is closed at time 1-0. Show that the charge, 4, on the capacitor is given by the time dependent function 9(t) = Qocos(at) where o is given by W= Hint: Apply...
2.5 kΩ 5H 3.0 uF The initial voltage at t<0, V40)-100 v and current i(0)-0. At t=0 the switch is closed. a. (10 points) Find a differential equation (in time domain) for the voltage across the inductor. (10 points) The following expression is the solution for the differential equation find in part b. Determine all the parameters in the solution α, A, B and ω. b. V()e (A Cos(ot)+ BSin(r)) c. (2 points) Determine the steady state current and the...
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