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

Variable capacitors, how can I simulate air variable capacitors in cst simu...

how can I simulate air variable capacitors in cst simulator?

Difference equation of transfer function, Now you have to digitally impleme...

Now you have to digitally implement this circuit. Compute a difference equation which if you implement will behave exactly like this circuit.

Find the initial current, In the circuit shown below, the capacitor initial...

In the circuit shown below, the capacitor initially has a voltage across it 4 Volts (at t = 0). a.  Write down the expression for V C (t) when the switch is closed. b.  Writ

Metering technologies, Metering Technologies An electric meter or ener...

Metering Technologies An electric meter or energy meter is a device in which measures the amount of electrical energy supplied to customers of an electric supply company. Elec

Nash equilibrium matlab code, Can someone please guide me on how to compute...

Can someone please guide me on how to compute a nash equilibrium in matlab

Oscilloscope, Describe in detail the construction and working of digital ty...

Describe in detail the construction and working of digital type oscilloscope.

Explain read-only memory, Q. Explain Read-only memory? ROM is nonvolati...

Q. Explain Read-only memory? ROM is nonvolatile (because it maintains its contents even when its power is shut off) and is used to store data and programs that do not change du

How can magnetic fields can be plot, The magnetic fields can be plot by usi...

The magnetic fields can be plot by using: i.  Compass ii.  Iron dust method  .

Compute the percentage change, Q. A particular BJT has a nominal value of α...

Q. A particular BJT has a nominal value of α 0.99. Calculate the nominal β.If α can easily change ±1%, compute the percentage changes that can occur in β.

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