Electrical Systems
From the ideal voltage source to the circuit in the electrical system given below
ein(t) voltage input is provided. In the given circuit, there are two capacitors (C1 and C2) and one each.
There are electrical elements that are inductor (L) and resistor (R). electrical system
derive the mathematical model in terms of appropriate dynamic variables.
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Determine an equivalent electrical circuit using a voltage source and passive elements such as resistors, inductors, and...
Determine an equivalent electrical circuit using a voltage
source and passive elements such as resistors, inductors, and
capacitors that collectively have a similar ODE to the mechanical
system shown below. Steps:
a) Derive the non-homogeneous ODE of the forced mechanical
vibrating system
b) Arrange electrical components into an equivalent circuit with
the aid of textbook Table 6-1.
c) Derive the circuit ODE to demonstrate similar structure to
the ODE of part a)
d) Repeat parts b and c as needed...
An electrical system connected to a 98 V voltage source (without internal resistance), works with a...
An electrical system connected to a 98 V voltage source (without
internal resistance), works with a compound RC circuit with a
resistance of R = 9 Ω and two capacitors (initially discharged)
with equal capacitances of C1 = C2 = 5 μF, thus as a switch that is
connected to terminal a to carry out the charging process on the
capacitors, until a very long time passes, in such a way that in
the end the capacitors are fully charged....
Dynamic Systems Hidrolic Systems
The figure below has two thermal capacitances (chambers), C1 and C2.illustrates a simple thermal system. Thermal resistor R1 separates the two capacitances from its external environmentand the other resistor R2 separates C1 and C2. A heater provides the inlet heat flow to room 1. upper and lowerlimits are given as excellent insulators (which can be thought of as infinite thermal resistance).Derive the mathematical model of the thermal system.
We want to analyze the following electrical circuit R + + C C R y The...
We want to analyze the following electrical circuit R + + C C R y The output is the voltage across the resistor R,. We assign the state variables like this voltage across C xcurrent through L x3 = voltage across C, Then the state vector is x 1) Obtain the state-space representation of the system 2) Determine the observability of the state equation obtained in (1) 3) Let x(0) [x (0)x,(0) x,(0) =[1 0 o] Derive a control input...
A 0.160 H inductor is connected in series with a 91.0 Ω resistor and an ac...
A 0.160 H inductor is connected in series with a 91.0 Ω resistor and an ac source. The voltage across the inductor is vL=−(11.0V)sin[(472rad/s)t]. a. Derive an expression for the voltage vR across the resistor. 1).Express your answer in terms of the variables L, R, VL (amplitude of the voltage across the inductor), ω, and t .2).What is vR at 1.85 ms ? Express your answer with the appropriate units.
Answer: Please help! Electrical series circuits never make sence to me. I included the answer so that you can check your work. Hope that helps. 19. An electrical series circuit contains a resi...
Answer:
Please help! Electrical series circuits never make
sence to me. I included the answer so that you can check your
work.
Hope that helps.
19. An electrical series circuit contains a resistor with a resistance of R- 20 ohms, a capacitor with a capacitance of C 0.01 farads, and an inductor with an inductance of L 1 henry. The initial current in the circuit is 0 amperes. A variable voltage of E(t) 120 sin volts of is applied to...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
please solve -Mathematical model -Mathlab Simulink digram -Plot diagram thank you 6.10 A series RL circuit with a noalinear inductor is shown in Fig. P6.10. Recall that the following nonlinear functi...
please solve
-Mathematical model
-Mathlab Simulink digram
-Plot diagram
thank you
6.10 A series RL circuit with a noalinear inductor is shown in Fig. P6.10. Recall that the following nonlinear function for inductor current was used in Problem 3.11 in Chapter 3 4(A) = 97.32 +42a (amps, A) where a is the aux linkage. Use Simulink to obtain the dynamic response for current ILU) ifthe source voltage is a 4-V step function, that is, ein(t) = 4U(1) V. The RL...
An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an...
An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an initial charge of 1 coulomb on the capacitor. At the instant the circuit is closed, a current of 5 amperes is present and a voltage of E(t) = 23 cost is applied. In this circuit the voltage drop across the resistor is 5 times the instantaneous change in the charge, the voltage drop across capacitor is 11 times the charge, and the voltage drop...
1) An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is...
1) An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an initial charge of 1 coulomb on the capacitor. At the instant the circuit is closed, a current of 7 amperes is present and a voltage of E(t) = 20 cos t is applied. In this circuit the voltage drop across the resistor is 7 times the instantaneous change in the charge, the voltage drop across the capacitor is 11 times the charge, and...
Determine an equivalent electrical circuit using a voltage
source and passive elements such as resistors, inductors, and
capacitors that collectively have a similar ODE to the mechanical
system shown below. Steps:
a) Derive the non-homogeneous ODE of the forced mechanical
vibrating system
b) Arrange electrical components into an equivalent circuit with
the aid of textbook Table 6-1.
c) Derive the circuit ODE to demonstrate similar structure to
the ODE of part a)
d) Repeat parts b and c as needed...
An electrical system connected to a 98 V voltage source (without
internal resistance), works with a compound RC circuit with a
resistance of R = 9 Ω and two capacitors (initially discharged)
with equal capacitances of C1 = C2 = 5 μF, thus as a switch that is
connected to terminal a to carry out the charging process on the
capacitors, until a very long time passes, in such a way that in
the end the capacitors are fully charged....
We want to analyze the following electrical circuit R + + C C R y The output is the voltage across the resistor R,. We assign the state variables like this voltage across C xcurrent through L x3 = voltage across C, Then the state vector is x 1) Obtain the state-space representation of the system 2) Determine the observability of the state equation obtained in (1) 3) Let x(0) [x (0)x,(0) x,(0) =[1 0 o] Derive a control input...
Answer:
Please help! Electrical series circuits never make
sence to me. I included the answer so that you can check your
work.
Hope that helps.
19. An electrical series circuit contains a resistor with a resistance of R- 20 ohms, a capacitor with a capacitance of C 0.01 farads, and an inductor with an inductance of L 1 henry. The initial current in the circuit is 0 amperes. A variable voltage of E(t) 120 sin volts of is applied to...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
please solve
-Mathematical model
-Mathlab Simulink digram
-Plot diagram
thank you
6.10 A series RL circuit with a noalinear inductor is shown in Fig. P6.10. Recall that the following nonlinear function for inductor current was used in Problem 3.11 in Chapter 3 4(A) = 97.32 +42a (amps, A) where a is the aux linkage. Use Simulink to obtain the dynamic response for current ILU) ifthe source voltage is a 4-V step function, that is, ein(t) = 4U(1) V. The RL...
An (open) electrical circuit consists of an inductor, a resistor, and a capacitor. There is an initial charge of 1 coulomb on the capacitor. At the instant the circuit is closed, a current of 5 amperes is present and a voltage of E(t) = 23 cost is applied. In this circuit the voltage drop across the resistor is 5 times the instantaneous change in the charge, the voltage drop across capacitor is 11 times the charge, and the voltage drop...
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