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1. Given i(t) Cut) Figure 2.1: Step voltage applied to a series RLC circuit. (a) Verify...
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...
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from t...
use MATLAB functions to solve this problem
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from the solution of the V 2nd-order ODE to v t-0 d2i ndi 1 where R, L, and c are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor, respectively. (a) Solve the equation for i in terms of L, R, C, and t, assuming that at...
RLC circuit in series A resistor R is connected in series to an inductor L and...
RLC circuit in series A resistor R is connected in series to an inductor L and a capacitor C, without any external emf sources. (a) Using the fact that the energy stored in both the capacitor and the inductor is being dissipated in the resistor, show that the charge on the capacitor q(t) satisfies the differential equation d^2 q/ dt^2 + Rdq/Ldt + q/LC = 0. This is the equation of a damped oscillator and it has a solution of...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory wi...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
Engineering circuit analysis by Hayt 8th edition question 27 and figure 9.43 I think 10u(1-t) means 10 (for t<1)...
Engineering circuit analysis by Hayt
8th edition
question 27 and figure 9.43
I think 10u(1-t) means 10 (for t<1) and 0
(for t>1)
then, I can't remove this current source because it
continuously make 10micro A
(at t=500ms, t=1.002ms)
I don't know what's wrong now..
366 26. For the circuit of Fig. 9,43, 1 30-) mA. (a) Select R, so th O)6 V (b) Compute e2 ms). (c) Determine the settling, time of t capacitor voltage. (d) Is the inductor...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or the 0.4uF capacitor before the switch in the circuit shown in the figure below is closed. Find S2 Key= A 2800 1. 0.4uF - 3. Discharge response of series RLC circuit. The circuit had been in steady state prior to moving the switch at t=0. Find = Key = Space Key C1 0.44F For both circuits: a) Is the response underdamped, overdamped, or critically...
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b)...
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b) with R=10012, L=100mH and C=1pF. The first four nonzero terms in the Fourier series is given by the following: v:(t) = 10 +2 sin(10’t)-1sin(2x10't)+sin(3x10°r) v Find the first four nonzero terms in the Fourier series of the steady-state current iſt). (20 marks) R M v.(t) Tv.(t) Figure 2(b): Circuit for Question 2
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. "
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open...
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open at ta 0. Solve the differential equation for loop current 1(t) when the resistor R has a value of 2 Ohms. Be sure to show all work and specify values for alpha, wo , W d, 51, 52, (0), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts) a - Wo=-...
1. A paralll RLC circuit consists of a A series RLC circuit consists of the same...
1. A paralll RLC circuit consists of a A series RLC circuit consists of the same 5000 Ω resistor, 1.25 H inductor, and 8 nF capacitor. a) Find the roots of the characteristic 2. 5000 Ω resistor, a 1.25 H inductor, and an 8 nF capacitor. a) Find the roots of the characteristic equation equation b) Is the response over-damped or b) Is the response over-damped or under-damped? under-damped? c) How would you need to change the resistance to get...
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...
use MATLAB functions to solve this problem
The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from the solution of the V 2nd-order ODE to v t-0 d2i ndi 1 where R, L, and c are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor, respectively. (a) Solve the equation for i in terms of L, R, C, and t, assuming that at...
Function Generatr Inductor Model Ra R, Figure 1 Series RLC Circuit Preliminary This laboratory will demonstrate how varying resistance changes the natural response of a series RLC circuit (Fig. 1). The function generator is modeled as an ideal voltage source v(t) 5 u() V in series with source resistance Rs-50Q. After measurements using an LCR meter, the inductor is modeled as an ideal L 90 mH inductor in series with resistance RL-20Q. The capacitance is C-0.22 μF. 1) Calculate the...
Engineering circuit analysis by Hayt
8th edition
question 27 and figure 9.43
I think 10u(1-t) means 10 (for t<1) and 0
(for t>1)
then, I can't remove this current source because it
continuously make 10micro A
(at t=500ms, t=1.002ms)
I don't know what's wrong now..
366 26. For the circuit of Fig. 9,43, 1 30-) mA. (a) Select R, so th O)6 V (b) Compute e2 ms). (c) Determine the settling, time of t capacitor voltage. (d) Is the inductor...
2. Charge-up response of series RLC circuit. No energy is stored in the 0.1H inductor or the 0.4uF capacitor before the switch in the circuit shown in the figure below is closed. Find S2 Key= A 2800 1. 0.4uF - 3. Discharge response of series RLC circuit. The circuit had been in steady state prior to moving the switch at t=0. Find = Key = Space Key C1 0.44F For both circuits: a) Is the response underdamped, overdamped, or critically...
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b) with R=10012, L=100mH and C=1pF. The first four nonzero terms in the Fourier series is given by the following: v:(t) = 10 +2 sin(10’t)-1sin(2x10't)+sin(3x10°r) v Find the first four nonzero terms in the Fourier series of the steady-state current iſt). (20 marks) R M v.(t) Tv.(t) Figure 2(b): Circuit for Question 2
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. "
5.) In the series RLC circuit shown in Figure 2, switches S1 and 52 both open at ta 0. Solve the differential equation for loop current 1(t) when the resistor R has a value of 2 Ohms. Be sure to show all work and specify values for alpha, wo , W d, 51, 52, (0), V(o), etc. if they are required for the solution (e.g. s1 and s2 are only needed for an overdamped solution. (300 pts) a - Wo=-...
1. A paralll RLC circuit consists of a A series RLC circuit consists of the same 5000 Ω resistor, 1.25 H inductor, and 8 nF capacitor. a) Find the roots of the characteristic 2. 5000 Ω resistor, a 1.25 H inductor, and an 8 nF capacitor. a) Find the roots of the characteristic equation equation b) Is the response over-damped or b) Is the response over-damped or under-damped? under-damped? c) How would you need to change the resistance to get...
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