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

Sinusoidal inverter, i am going to make a sinusoidal inverter as my final y...

i am going to make a sinusoidal inverter as my final year project kindly help me in this regard.How can i make this project?

Stack operation, Stack Operation Stack is a group of memory  locations...

Stack Operation Stack is a group of memory  locations which  are part of the  same read write memory  used for  storing  data  temporarily  during the execution of the  progra

Describe the meaning of standing wave ratio, a. Describe the meaning of sta...

a. Describe the meaning of standing wave ratio. What is the formula for it, if the load is purely resistive? Why is a high value of SWR often undesirable? b. Determine how the c

Variable capacitors, how can I simulate air variable capacitors in cst simu...

how can I simulate air variable capacitors in cst simulator?

Safe conduct in electricity and gas hazards, Safe Conduct : what if a tr...

Safe Conduct : what if a trailing flex became caught up in an apparatus trolley and was cut? Or someone splashed water onto a plug, or concentrated sulphuric acid onto a flex? F

Field-effect transistor, Field-Effect Transistor: The field-effect tra...

Field-Effect Transistor: The field-effect transistor that is abbreviated as FET relies on an electric field to control the shape and therefore the conductivity of a channel of

Explain the energy bands in solids, Explain the energy bands in solids. ...

Explain the energy bands in solids. There are as several energy bands in a solid as there are energy levels in the parent atoms. Many electrical properties of significance

Project, Hello I am doing a Btec degree in Electrical and electronic engine...

Hello I am doing a Btec degree in Electrical and electronic engineering and I was wondering if you can help me complete it because I am behind

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