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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...
Find the Steady State Voltage and Current Values. Develop the equation for i(t) , the current thr...
Find the Steady State Voltage and Current
Values.
Develop the equation for i(t) , the current through
the inductor and Vout(t).
I need help, I don't know if my calculations are correct, I
found the neper frequency to be: a=439.109 rad/sec and resonant
frequency to be Wo=14586.5 rad/sec.
This is a parallel step response RLC circuit
The circuit is underdamped.
Please show all work clearly so that I can understand the
process.
Vout(t) is the voltage across R2 (which is...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time domain and draw their respective phasors in the complex plane. (ii) Does the current lead or lag the voltage? Explain intuitively. (b) Repeat (i), (ii), and (ii) for part (a) but with an inductor, L, instead of a capacitor. (c) Repeat (i), (ii), and (ii) for part...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial in...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c)....
Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c). ic mA QUESTION 3 Given the voltage across a 10 mH inductor is VL = 5V. Assuming the inductor current is zero at time zero, find the current at 4 ms.
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...
Please determine the following: a) The initial inductor current i(0−) b) The final inductor current i_final...
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
3. You are given the circuit shown below. The switch was open for a long time before t = 0. lit) 5 H...
TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is...
TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is sometimes referred to as an LC-tank or tuned circuit. It is made up of two components: an inductor (L) and a capacitor (C), hence the name. CAPACITOR 4 e V - + V - Figure 1: Capacitor symbol The charge on a capacitor is proportional to the voltage across it, the constant of proportionality being the capacitance C, measured in Farads (F). Since current...
1 ) A series circuit consisted of R= 10 KΩ, L= 42 mH , C= 2.1...
1 ) A series circuit consisted of R= 10 KΩ, L= 42 mH , C= 2.1 µF
is connected to an alternative voltage with maximum voltage of
Vm = 24 V and frequency of 300.0 Hz.
Find the following:
Show the formula for each question. Show your
Calculations – put result in a box with its unit. Please write your
answer under each question
a)Find the value of angular frequency ω .
b) Inductive Reactance ( XL)
c)Capacitive Reactance (...
Inductor complex impedance Voltage induced across the inductor: d i dt On one hand: On the...
Inductor complex impedance Voltage induced across the inductor: d i dt On one hand: On the other hand: Since the current is assumed to be changing according to Then dt - L joi Thus Since j-ejCT/2) dvL1Lo ej (π /2) ] İ Voltage across the inductor leading 90° with respect to the current. Exercise: Assuming i 10 ej(ot-p), draw the phasors ΔΟ, and i (together in the same diagram) for arbitrary fixed values of a, q, and . Exercise: Assuming...
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...
Find the Steady State Voltage and Current
Values.
Develop the equation for i(t) , the current through
the inductor and Vout(t).
I need help, I don't know if my calculations are correct, I
found the neper frequency to be: a=439.109 rad/sec and resonant
frequency to be Wo=14586.5 rad/sec.
This is a parallel step response RLC circuit
The circuit is underdamped.
Please show all work clearly so that I can understand the
process.
Vout(t) is the voltage across R2 (which is...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time domain and draw their respective phasors in the complex plane. (ii) Does the current lead or lag the voltage? Explain intuitively. (b) Repeat (i), (ii), and (ii) for part (a) but with an inductor, L, instead of a capacitor. (c) Repeat (i), (ii), and (ii) for part...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c). ic mA QUESTION 3 Given the voltage across a 10 mH inductor is VL = 5V. Assuming the inductor current is zero at time zero, find the current at 4 ms.
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...
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
3. You are given the circuit shown below. The switch was open for a long time before t = 0. lit) 5 H...
TASK (i): Find time-domain equations for a parallel LC resonant circuit An LC resonant circuit is sometimes referred to as an LC-tank or tuned circuit. It is made up of two components: an inductor (L) and a capacitor (C), hence the name. CAPACITOR 4 e V - + V - Figure 1: Capacitor symbol The charge on a capacitor is proportional to the voltage across it, the constant of proportionality being the capacitance C, measured in Farads (F). Since current...
1 ) A series circuit consisted of R= 10 KΩ, L= 42 mH , C= 2.1 µF
is connected to an alternative voltage with maximum voltage of
Vm = 24 V and frequency of 300.0 Hz.
Find the following:
Show the formula for each question. Show your
Calculations – put result in a box with its unit. Please write your
answer under each question
a)Find the value of angular frequency ω .
b) Inductive Reactance ( XL)
c)Capacitive Reactance (...
Inductor complex impedance Voltage induced across the inductor: d i dt On one hand: On the other hand: Since the current is assumed to be changing according to Then dt - L joi Thus Since j-ejCT/2) dvL1Lo ej (π /2) ] İ Voltage across the inductor leading 90° with respect to the current. Exercise: Assuming i 10 ej(ot-p), draw the phasors ΔΟ, and i (together in the same diagram) for arbitrary fixed values of a, q, and . Exercise: Assuming...
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