Find differential equation & state-space representation, Electrical Engineering

Assignment Help:

1. For the following network:

a. Find the differential equation assuming that v(t) is the input and the charge on the capacitor q(t) is the output. Hints: iR1= (iR2 + iL), iR2 = (vL + vC) / R2, iL = iC = dq/dt and page 114.

2450_circuit diagram.png

b. Find the state-space representation. Give your answer in vector-matrix form assuming the following values L = 1 H, C = 1 F and R1 = R2 = 1 Ω.

Represent the following transfer function in state space. Give your answer in vector-matrix form.

555_firm equation.png

 Extra credit: Find the transfer function G(s) = Y(s) / R(s) for the following system represented in state space.

1036_matrix xy.png


Related Discussions:- Find differential equation & state-space representation

Satellite Communication, ubmission Deadline: Wednesday, July 7, 2021 Assign...

ubmission Deadline: Wednesday, July 7, 2021 Assignment 2 EE5543 - Satellite Communication Question 1: MEASAT-1 is located at 91.5 o E and operating at the base frequency of 10.982

Pinch off voltage, Pinch off Voltage: The current in N-JFET because of...

Pinch off Voltage: The current in N-JFET because of a small voltage V DS  is described by: I DSS = (2a) W/L (qN d μ n V DS ) In which 2a  = channel thickness

What do you mean by heat sink?, Q. What is a heat sink? List the factors, w...

Q. What is a heat sink? List the factors, which determine its efficiency. To reduce the chance of thermal runaway, the rise of temperature at the collector junction to a danger

Find an expression for the instantaneous force, Q. Let the solenoid carry a...

Q. Let the solenoid carry an alternating current of 10 A (rms) at 60 Hz instead of the direct current. Find an expression for the instantaneous force.

Diffrentiate between Brass and Bronze, Explain Brass and Bronze. Brass...

Explain Brass and Bronze. Brass - It is an alloy of copper and zinc with 60 percent copper and 40 percent zinc. Its electrical resistivity of Brass is 7.0 X 10 -8 ohm-m th

Find the frequency of oscillation - amplifier gain, Q. Find the frequency o...

Q. Find the frequency of oscillation, amplifier gain ? The transfer function is found to be where the equation is written as a Laplace transform (s=jw). Analysis of thi

Find the modulated signal in each case, Let the message signal m(t) = α cos...

Let the message signal m(t) = α cos (2πf m t) be used to either frequency-modulate or phase- modulate the carrier Ac cos(2πf c t). Find the modulated signal in each case.

Explain about junction fet, Q. Explain about Junction FET? The JFET is ...

Q. Explain about Junction FET? The JFET is a three-terminal, voltage-controlled current device, whereas the BJT is principally a three-terminal, current-controlled current devi

Briefly explain about phasor method, Q. Briefly explain about Phasor Method...

Q. Briefly explain about Phasor Method? For sinusoidal excitations of the same frequency, the forced or steady-state responses are better found by the technique known as the ph

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd