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 amplitude - radar system, Suppose the ambiguity function of s...

Suppose the ambiguity function of some waveform x ( t ) of duration ζ = 1 millisecond is given by   (NOTE: this is not a possible AF because it is not time-limited to

What is the per-unit slip at full load, Q. A three-phase, 60-Hz induction m...

Q. A three-phase, 60-Hz induction motor runs at almost 1800 r/min at no load, and at 1710 r/min at full load. (a) How many poles does the motor have? (b) What is the per-unit

Power mosfet - power semiconductor devices , Power MOSFET MOSFET stands...

Power MOSFET MOSFET stands  for metal oxide semiconductor fields  effect transistor.  A power  MOSFET has  three  terminal  drain source  and  gate,. It  is unipolar device  me

Draw the impedance diagram of the system, The one line diagram of a simple ...

The one line diagram of a simple power system is shown below.  The data of the system are given in the table below.  (a) Draw the impedance diagram of the system and mark all im

Calculate the rms value, The sinusoidal voltage source in the circuit shown...

The sinusoidal voltage source in the circuit shown in Fig. is developing an rms voltage of 2000 V. The 4 ? load in the circuit is absorbing four times as much average power as the

project, I want to make project plz help me n gove me idea about actually ...

I want to make project plz help me n gove me idea about actually its my first year in electrical engineering thts why Ineed help hpfully you will reply soon

What is accelerated graphics port, What is AGP? AGP: The latest additio...

What is AGP? AGP: The latest addition for many computer systems is the inclusion of the accelerated graphics port. This AGP operates at the bus clock frequency of the microproc

Evaluate the travel time of signal, Suppose that the length of a 10Base-5 ...

Suppose that the length of a 10Base-5 cable is 2500 metres. If the speed of propagation in a thick co-axial cable is 60% of the speed of light, how long does it take for a bit to

Explain the operation of interrupt return instruction, Explain the operatio...

Explain the operation of IRET instruction.  What memory locations contain the vector for an INT 34 instruction? The Interrupt return (IRET) instruction is utilized only along w

Emf, what is emf

what is emf

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