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

Determine the current flow, Q. A charge q(t) = 50 + 1.0t C flows into an el...

Q. A charge q(t) = 50 + 1.0t C flows into an electric component. Find the current flow.

How does a mosfet amplify electrical signals, Q. How does a MOSFET amplify ...

Q. How does a MOSFET amplify electrical signals? While a minimum requirement for amplification of electrical signals is power gain, one finds that a device with both voltage an

Find a local s-matrix for each triangle, Figure show two first-order triang...

Figure show two first-order triangular finite elements used to solve the Laplace equation for electrostatic potential. Find a local S -matrix for each triangle, and a global S -m

What is the minimum sampling rate, Q. The magnitude spectrum of a continuou...

Q. The magnitude spectrum of a continuous  image is as given below.  a) Sketch the frequency response of the sampled spectrum if   ωs =1.5 ωm along x and 3ωm along  y directions

Output characteristics , Output Characteristics The output  or drain  ...

Output Characteristics The output  or drain  characteristic of N - Channel  power MOSFET. When gate  is made positive with respect to the source an N type  channel  is formed

Find the slip and the rotor frequency at full load, Q. A three-phase, 50-Hz...

Q. A three-phase, 50-Hz induction motor has a full load speed of 700 r/min and a no-load speed of 740 r/min. (a) How many poles does the machine have? (b) Find the slip and t

States the superposition theorem, The superposition theorem states: 'In...

The superposition theorem states: 'In any network made up of linear resistances and having more than single source of e.m.f, the resultant current flowing in any branch is the

Logical operations , Logical Operations Various  operations like and  ...

Logical Operations Various  operations like and  or exclusive  or complement compare and rotate are called  logical  operations. Generally flags ( not all always) are modified

Electron, Electron congratulations

Electron congratulations

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