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Solve for lapalce transform.
3. For the RLC circuit shown in the graph, determine the current...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Solve it as shown but use these values instead: An RLC series circuit has a voltage...
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) =...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
3. RLC Parallel Circuit a) (7pts) For the circuit shown, determine the ODE relating the voltage...
3. RLC Parallel Circuit a) (7pts) For the circuit shown, determine the ODE relating the voltage (t) to the current source is(t) as well as the > L corresponding transfer function z(s) = (Hint: It might be easier to find the latter before the former.] (12pts) For R-0.802, C=0.25F and L=1H, determine the (1) impulse response, (ii) the unit step response and (111) the response to a pure sinusoid is (t) = cos(itt) Amperes (note that this last function is...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented by The circuit is driven by voltage source ean). And the crcuit elements are resistance R 0.4 capacitance C 0.04F, and inductance L 0.002H. At time t 0, the voltage source is stepped from zero to 2V (the circuit elements initially have zero charge and zero current). Determine the solution for charge q(t) stored in the capacitor using Laplace transform methods.
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...
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC...
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC circuit is given in Figure Q7 (a). Determine; (i) the time domain input-output relationship of the RLC circuit, (3 marks) (ii) the frequency response, H(W) of the circuit, (3 marks) (iii) the impulse response, h(t) given that R = 12, C = 1 F and L = 2 H. (4 marks) (b) An input vi(t) = e-ztu(t) is passed as the input to the...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
3. RLC Parallel Circuit a) (7pts) For the circuit shown, determine the ODE relating the voltage (t) to the current source is(t) as well as the > L corresponding transfer function z(s) = (Hint: It might be easier to find the latter before the former.] (12pts) For R-0.802, C=0.25F and L=1H, determine the (1) impulse response, (ii) the unit step response and (111) the response to a pure sinusoid is (t) = cos(itt) Amperes (note that this last function is...
Assume we have a series RLC circuit. The model of the RLC circuit can be represented by The circuit is driven by voltage source ean). And the crcuit elements are resistance R 0.4 capacitance C 0.04F, and inductance L 0.002H. At time t 0, the voltage source is stepped from zero to 2V (the circuit elements initially have zero charge and zero current). Determine the solution for charge q(t) stored in the capacitor using Laplace transform methods.
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...
၀ရ R - + vo(t) v(t) C Figure Q7 (a) 07 (a) A second order RLC circuit is given in Figure Q7 (a). Determine; (i) the time domain input-output relationship of the RLC circuit, (3 marks) (ii) the frequency response, H(W) of the circuit, (3 marks) (iii) the impulse response, h(t) given that R = 12, C = 1 F and L = 2 H. (4 marks) (b) An input vi(t) = e-ztu(t) is passed as the input to the...
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