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 p - n junction, Explain P - N junction. P - N junction: If a ...

Explain P - N junction. P - N junction: If a p- type semiconductor is properly joined to an n-type semiconductor the contact surface that formed is termed as p-n junction. Th

Avalanche breakdown region, Avalanche breakdown region: Even though th...

Avalanche breakdown region: Even though these regions are well described for sufficiently large applied voltage, they overlap somewhat for small (less than a few hundred milli

Armature winding, draw a developed single simplex wave winding havig 17 num...

draw a developed single simplex wave winding havig 17 number of coils and 4 number of poles

Determine the initial value and final value of the current, Given the frequ...

Given the frequency-domain response of an RL circuit to be determine the initial value and the final value of the current by using the initial-value and final-value theorem

Impedance diagram of per uint values, explian briefly with in diagram and n...

explian briefly with in diagram and numerical examples

What is meant by amplification, Q. What is meant by amplification? The ...

Q. What is meant by amplification? The basic amplifying elements are, namely valves (vacuum tubes), bipolar transistors and FETs. The term "amplify" basically means to make str

Evaluate the straight-line and actual gain response, Q. Consider the circui...

Q. Consider the circuit shown in Figure in the time domain aswell as in the s-domain. Its transfer function V 2 (s)/V 1 (s) can be shown to be  which is a second-order bandpass tra

Design a circuit for indicate the connection of a battery, You are asked to...

You are asked to design a circuit that indicates if a 12 V battery has been connected the correct way around to two terminals, A and B. To do this, you have chosen to use a special

Calculate the amplitude of the dc component, A periodic voltage consists of...

A periodic voltage consists of sinusoidal pulses having an amplitude of 150 V (SEE DIAGRAM BELOW). Use Fourier Series Expansion to calculate: 1.       the amplitude of the DC co

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