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

Explain the purpose of the i/o instructions in and out, Explain the purpose...

Explain the purpose of the I/O instructions IN and OUT. The IN instruction is used to move data from an I/O port into the accumulator. The OUT instruction is used to move d

Explain intrinsic semiconductor, Explain Intrinsic Semiconductor. Intr...

Explain Intrinsic Semiconductor. Intrinsic Semiconductor: An extremely pure semiconductor is termed as intrinsic semiconductor. But at absolute zero temperature its valence b

Why is an emitter bypass capacitor in amplifier, Q.  Why is an emitter bypa...

Q.  Why is an emitter bypass capacitor used in an RC coupled amplifier? If an emitter resistor Re is used for self-bias in an amplifier and if it is desired to avoid the degene

What do you understand by solid modeling, What do you understand by solid m...

What do you understand by solid modeling and wireframe modeling in CAD systems? Explain and compare the both modellings. Describe the following 1. Boundary representation 2.

Rlc circuit, how started the use of complex variables in circuit analysis f...

how started the use of complex variables in circuit analysis for the first time.

Open-circuit and load characteristics of generator, Q. Open-circuit and loa...

Q. Open-circuit and load characteristics of generator? The open-circuit and load characteristics of a separately excited dc generator, along with its schematic diagram of conne

Show the use of hexadecimal, Hexadecimal is of use in IT because (1) It...

Hexadecimal is of use in IT because (1) It is a compact system (e.g. only 3 digits represent the number 986) (2) As 16 are a power of 2 it turns out to be quite easy to conv

Collection and payment systems, Collection and Payment Systems Payment...

Collection and Payment Systems Payments are currently made in person in most of the places. Only some places payments could be made on line or by the ATM (Automated Teller Mac

Logically and the contents of register, Logically AND  the contents of Reg...

Logically AND  the contents of Register Contents of  register are logically AND with the accumulator bit wise. The result  of the AND  operation is  stored  in the accumulat

Applied mechanics, State whether Lamis theorem is applicable for more than ...

State whether Lamis theorem is applicable for more than three coplanar concurrent forces?

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