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 e.m.f., A 6-pole armature has 1000 conductors and a flux per ...

A 6-pole armature has 1000 conductors and a flux per pole of 40mWb. Determine the e.m.f. generated when running at 600 rev/min when (a) lap wound (b) wave wound.

Find the quantity of electricity transferred, If a current of 20A flows for...

If a current of 20A flows for five minutes, find the quantity of electricity transferred. Quantity of electricity,   Q = It = 20 x 5 x 60 = 6000C     

What are the drawbacks of microprocessor, There is a limitation on the size...

There is a limitation on the size of data. Most Microprocessor does not maintain floating-point operations.

Video graphics array and colour graphics adapter, What are the differences ...

What are the differences between Colour Graphics Adapter and Video Graphics Array graphics adapters? The Colour Graphics Adapter (CGA), originally also termed as the Colour/G

Show the r-1s complement, Q. Show the r-1s Complement? Subtract eve...

Q. Show the r-1s Complement? Subtract every digit of the number from r-1 (the radix of the system - 1)ex.             952 10

Digital communication , Classify the following signals as energy signals or...

Classify the following signals as energy signals or power signals. Find the normalized energy or normalized power of each. a. ? ? , 0, 0 0, at Ae t a x t elsewhere

Linear time invariant, A LIT (linear time-invariant) system, impulse respon...

A LIT (linear time-invariant) system, impulse response h [ n ], is described by: (a) Show the block-diagram representation for this FIR filter (only use multiplier, adder

Define magnetic field, Define Magnetic field The area around a magnet i...

Define Magnetic field The area around a magnet is known as the magnetic field and it is in this area that the effects of the magnetic force formed by the magnet can be detected

Object oriented programming by robert lafore 4th edition sol, Ask quobject ...

Ask quobject oriented programming by robert lafore 4th edition solutionestion #Minimum 100 words accepted#

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