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

Compare mosfet with jfet, Q. Compare MOSFET with  JFET? a. In enhanceme...

Q. Compare MOSFET with  JFET? a. In enhancement and depletion types of MOSFET,the transverse electric field induced across an insulating layer deposited on the semiconductor ma

Increase in ht and lt ratio, Increase in HT and LT Ratio It is well kn...

Increase in HT and LT Ratio It is well known that for high HT/LT ratio, the losses will be low. The losses for a given quantum of power supplied through a line are inversely p

Fixed capacitor, what is the contruction of a fixed capacitor

what is the contruction of a fixed capacitor

Static v- i characteristics - power semiconductor devices , Static V- I Cha...

Static V- I Characteristics A thyristor  works in  three basic  modes a.Reverse  blocking mode b.Forwards  blocking  mode and c.Forward  conducting  mode In revers

Transistor, why BETA a current gain parameter of common emitter amplifier i...

why BETA a current gain parameter of common emitter amplifier is temperature dependent?

Determine the apparent power and the reactive power, Q. A balanced electric...

Q. A balanced electrical industrial plant load of 9.8 MW with 0.8 lagging power factor is supplied by a three-phase 60-Hz system having a maximum rating (load-carrying capacity) of

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

Fibre optics, 1. A very narrow laser beam in air is shone into a sphere of ...

1. A very narrow laser beam in air is shone into a sphere of solid glass that has a uniform refractive index n>1 and radius ? . The beam makes an angle a in air with the normal to

Sketch the depletion mosfet drain characteristics, Q. Sketch the depletion ...

Q. Sketch the depletion MOSFET drain characteristics The depletion-type MOSFET has a structure similar to that of the enhancement-type MOSFET with one important difference: The

Working of closed cycle and open cycle brayton cycle, Give the layout of a ...

Give the layout of a modern steam power plant and illustrate it briefly. With the help of schematic diagrams illustrate the construction and basic working of closed cycle and op

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