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

State lenz''s law, Lenz's law states: 'The direction of an induced e.m....

Lenz's law states: 'The direction of an induced e.m.f. is always like that it tends to set up a current opposing the motion or the change of flux responsible for inducing that

Find internal resistance across terminals, Q. In the Wheatstone bridge circ...

Q. In the Wheatstone bridge circuit shown in Figure, R 1 = 16, R 2 = 8, and R 3 = 40; R 4 is the unknown resistance. RM is the galvanometer resistance of 6 . If no current

Working of bootstrap sweep circuit, analysis and detail working of bootstra...

analysis and detail working of bootstrap sweep circuit

Description of capacitor, Description of Capacitor r A capacitor has cap...

Description of Capacitor r A capacitor has capacitance of one Farad when current charging of one Ampere flows in one second. This process causing a transferring of one volt in p

Representation of the control system, Question: (a) The forward path t...

Question: (a) The forward path transfer function of a unity feedback control system is given by: (i) Draw the labelled block diagram representation of the control system.

Current-carrying conductors, Q. Current-carrying conductors? Current-ca...

Q. Current-carrying conductors? Current-carrying conductors, when placed in magnetic fields, experience mechanical force. Considering only the effect of the magnetic field, the

Calculate motor efficiency, 1. A self excited shunt generator supplies a lo...

1. A self excited shunt generator supplies a load of 12.5 kw at 125 volts. The field resistance is 25 ohms and the armature resistance is 0.2 ohms. The total voltage drop because o

Zener diode, what is Zener diode ? give some uses of it .

what is Zener diode ? give some uses of it .

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