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(1) In the system shown below, the input is the ideal current source *i,' is and...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is V. (source voltage). The motor has an electrical constant Ke, a torque constant K, an armature inductance Lg and a resistance R. The rotor, shaft and disk together have inertia J and a viscous friction coefficient B. The disk has a radius ofr. (For the motor, assume that the torque is T = Ki,, and the back EMF is emf = KO). a. Derive...
please solve problems 1 and problems 2. PROBLEM 1: Derive state-space equations for the following circuit in the form of L1 where χ = :L2 L3 L1 and (a) y 7 V L3 R1 L1 L3 R3 Vt R2 Vc し2 (c) For Part (...
please solve problems 1 and
problems 2.
PROBLEM 1: Derive state-space equations for the following circuit in the form of L1 where χ = :L2 L3 L1 and (a) y 7 V L3 R1 L1 L3 R3 Vt R2 Vc し2 (c) For Part (a), use the file CircuitStateSpace.slx (define the four matrices in Matlab) to verify your derivation using the following numerical values: R1-1; R3-1 R2-10; L1-1e-3 L3-1e-3 L2-10e-2 ; C1-10e-6 PROBLEM 2: (a) What are eigenvalues of the...
In the circuit shown below the current source has been switched on for a very long...
In the circuit shown below the current source
has been switched on for a very long time. Find the DC current in
the inductor and the DC voltage across the capacitor.
To get a perfect score (100), the accuracy of your answer(s) must be 1% or better. Submit /4 = A C Vc R1 R3 = V 17 33 Is R2 5 3 Ben Rodanski Version 2.0.0
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the vol...
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s)...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
Problem 1: Given the RLC circuit with current source as shown (assume the system is initially...
Problem 1: Given the RLC circuit with current source as shown (assume the system is initially relaxed a) (8 points) Write the state equations if the Rich Led state vector X = [i:] i Lt) 个 H y = |VC b) (7 points) Write the output equation if TVR i.e. voltage across each element. VL. c) (5 points) Using the state equations find Vr(s)/I(s)
Problem 1) Derive differential equations governing the given fluid system for the system and present them...
Problem 1) Derive differential equations governing the given fluid system for the system and present them in state space form. The density of the fluid is p. The fluid exiting the tank with capacitance C3, flows through a resistor R4 and then a long pipe of length L with an inertance I State vector X-[h h, h, h, q input vector u={qil qi2 qǐ3)" Output Vector Y (42 i2 41 92 h3 C. 93 Rs 3 You may solve the...
1) An input step voltage Vin(t)=10 u(t) Volt is applied to the circuit shown below. The...
1) An input step voltage Vin(t)=10 u(t) Volt is applied to the circuit shown below. The initial voltage on the capacitor is zero. Using Laplace transform techniques, calculate the resulting output voltage Vout(t). R1 R2 Vout 2000 Vin c1 1000 1uF R3 1000
16. An ideal voltage source is applied to the input of the amplifier below and there...
16. An ideal voltage source is applied to the input of the amplifier below and there is negligible loading across the output. Determine the gain Ago. Note: An ideal voltage source has R. =0 and negligible loading means that R, 0. - Rina R 502 R+R*^ Rur+R Vi 200 kn> 80V;
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,...
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,. The torque and back-EMF constants of the motor are Ko K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is 1- (not shown), and the motor inductance is negligible. The motor load is an inertia J with compliance (stiffness) K and viscous friction coefficient b, and it is attached a gear pair...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is V. (source voltage). The motor has an electrical constant Ke, a torque constant K, an armature inductance Lg and a resistance R. The rotor, shaft and disk together have inertia J and a viscous friction coefficient B. The disk has a radius ofr. (For the motor, assume that the torque is T = Ki,, and the back EMF is emf = KO). a. Derive...
please solve problems 1 and
problems 2.
PROBLEM 1: Derive state-space equations for the following circuit in the form of L1 where χ = :L2 L3 L1 and (a) y 7 V L3 R1 L1 L3 R3 Vt R2 Vc し2 (c) For Part (a), use the file CircuitStateSpace.slx (define the four matrices in Matlab) to verify your derivation using the following numerical values: R1-1; R3-1 R2-10; L1-1e-3 L3-1e-3 L2-10e-2 ; C1-10e-6 PROBLEM 2: (a) What are eigenvalues of the...
In the circuit shown below the current source
has been switched on for a very long time. Find the DC current in
the inductor and the DC voltage across the capacitor.
To get a perfect score (100), the accuracy of your answer(s) must be 1% or better. Submit /4 = A C Vc R1 R3 = V 17 33 Is R2 5 3 Ben Rodanski Version 2.0.0
2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
Problem 1: Given the RLC circuit with current source as shown (assume the system is initially relaxed a) (8 points) Write the state equations if the Rich Led state vector X = [i:] i Lt) 个 H y = |VC b) (7 points) Write the output equation if TVR i.e. voltage across each element. VL. c) (5 points) Using the state equations find Vr(s)/I(s)
Problem 1) Derive differential equations governing the given fluid system for the system and present them in state space form. The density of the fluid is p. The fluid exiting the tank with capacitance C3, flows through a resistor R4 and then a long pipe of length L with an inertance I State vector X-[h h, h, h, q input vector u={qil qi2 qǐ3)" Output Vector Y (42 i2 41 92 h3 C. 93 Rs 3 You may solve the...
1) An input step voltage Vin(t)=10 u(t) Volt is applied to the circuit shown below. The initial voltage on the capacitor is zero. Using Laplace transform techniques, calculate the resulting output voltage Vout(t). R1 R2 Vout 2000 Vin c1 1000 1uF R3 1000
16. An ideal voltage source is applied to the input of the amplifier below and there is negligible loading across the output. Determine the gain Ago. Note: An ideal voltage source has R. =0 and negligible loading means that R, 0. - Rina R 502 R+R*^ Rur+R Vi 200 kn> 80V;
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,. The torque and back-EMF constants of the motor are Ko K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is 1- (not shown), and the motor inductance is negligible. The motor load is an inertia J with compliance (stiffness) K and viscous friction coefficient b, and it is attached a gear pair...
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