Find the differential equation relating input x(t) to output y(t) for the following circuit: Please be descriptive, I would like to understand all parts of the equation better.
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Find the differential equation relating input x(t) to output
y(t) for the following circuit: Please be...
Please answer the following correctly and write neat and clear For the RL circuit given, find...
Please answer the following correctly and write neat and
clear
For the RL circuit given, find the differential equation relating the output y(0) to the input x(o). 2 i(t) L-IH va 3 For the RLC circuit, given, find the differential equation relating the output y) to the input x(0) y(0) R-0,5QC-IF し-0.SH /2 d t 孔 d t
2. For the circuit depicted below, find the differential equation relating the input current f(t) to...
2. For the circuit depicted below, find the differential equation relating the input current f(t) to the current goes through the capacitor. (1) 150 ohm 0.04 F
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation...
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation d’y(t) + wốy(t)=r(t), where wo is a fixed real number. A) Find the right-going impulse response of the system. B) Find the left-going impulse response of the system.
Design a circuit with one input, x(, and one output, y(, that are related by this...
Design a circuit with one input, x(, and one output, y(, that are related by this differential equation: l d2 2 dt2 '(t) =--x(t
The input x(t) and output y(t) of a causal LTI system are related through the block-diagram...
The input x(t) and output y(t) of a causal LTI system are related through the block-diagram representation shown in Figure P 9.35. Determine a differential equation relating y(t) and x(t). is this system stable?
An LTI system is described by the following differential equation. Find the output when x(t)- u(t)...
An LTI system is described by the following differential equation. Find the output when x(t)- u(t) and has the following initial conditions: y(0)= 1, (0) = 2 , and x(0)--I dy x dx +at + 4 y(t) = dt + x(t) Solution
Modeling horizontal pendulum. Derive a differential equation relating the input, torque T,with the output, angular displacement...
Modeling horizontal pendulum. Derive a differential equation
relating the input, torque T,with the output, angular
displacement θ. Damping coefficient is D. Moment
of inertia of pendulum is 1/3mL2
9
Consider the following circuits connected in series. The input is the voltage x(t), the output to...
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
Let a linear system with input x(t) and output y(t) be described by the differential equation...
Let a linear system with input x(t) and output y(t) be described
by the differential equation .
(a) Compute the simplest math function form of the impulse
response h(t) for this system. HINT: Remember that with zero
initial conditions, the following Laplace transform pairs hold:
Let the time-domain function p(t) be given by p(t) = g(3 − 0.5
t). (a) Compute the simplest piecewise math form for p(t).
(b) Plot p(t) over the range 0 ≤ t ≤ 10 ....
3.1 The relationship between the input x(t) and output y(t) of described by the indicated differential...
3.1 The relationship between the input x(t) and output y(t) of described by the indicated differential equation given below: a causal system is dx(t) dse)+540+6y(t) = x(t) +T Assuming that the initial conditions are zero and using the Laplace transform determine [5 Marks] 15 Marks the following: a- Transfer function H(s) of the system. b- Impulse response h(t) of the system. Y (s) X(s)
Please answer the following correctly and write neat and
clear
For the RL circuit given, find the differential equation relating the output y(0) to the input x(o). 2 i(t) L-IH va 3 For the RLC circuit, given, find the differential equation relating the output y) to the input x(0) y(0) R-0,5QC-IF し-0.SH /2 d t 孔 d t
2. For the circuit depicted below, find the differential equation relating the input current f(t) to the current goes through the capacitor. (1) 150 ohm 0.04 F
Problem 1. The input x(t) and output y(t) of an LTI system satisfy the differential equation d’y(t) + wốy(t)=r(t), where wo is a fixed real number. A) Find the right-going impulse response of the system. B) Find the left-going impulse response of the system.
Design a circuit with one input, x(, and one output, y(, that are related by this differential equation: l d2 2 dt2 '(t) =--x(t
The input x(t) and output y(t) of a causal LTI system are related through the block-diagram representation shown in Figure P 9.35. Determine a differential equation relating y(t) and x(t). is this system stable?
An LTI system is described by the following differential equation. Find the output when x(t)- u(t) and has the following initial conditions: y(0)= 1, (0) = 2 , and x(0)--I dy x dx +at + 4 y(t) = dt + x(t) Solution
Modeling horizontal pendulum. Derive a differential equation
relating the input, torque T,with the output, angular
displacement θ. Damping coefficient is D. Moment
of inertia of pendulum is 1/3mL2
9
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
Let a linear system with input x(t) and output y(t) be described
by the differential equation .
(a) Compute the simplest math function form of the impulse
response h(t) for this system. HINT: Remember that with zero
initial conditions, the following Laplace transform pairs hold:
Let the time-domain function p(t) be given by p(t) = g(3 − 0.5
t). (a) Compute the simplest piecewise math form for p(t).
(b) Plot p(t) over the range 0 ≤ t ≤ 10 ....
3.1 The relationship between the input x(t) and output y(t) of described by the indicated differential equation given below: a causal system is dx(t) dse)+540+6y(t) = x(t) +T Assuming that the initial conditions are zero and using the Laplace transform determine [5 Marks] 15 Marks the following: a- Transfer function H(s) of the system. b- Impulse response h(t) of the system. Y (s) X(s)
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