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

Transparent latch d flip flop, Transparent latch D flip  Flop A typica...

Transparent latch D flip  Flop A typical  example  of this  type of D flop  is 7475 shown  in figure when CLK  connected is enable signal is high and the flip  flop  is enabled

Introduction to problem based learning, The Problem Based Learning is an ap...

The Problem Based Learning is an approach to learning prepares the students to engage with challenges similar to real world problems.The VEB3001-Problem Based Learning has been an

Explain about address structure, Q. Explain about Address Structure? A...

Q. Explain about Address Structure? Address Structure: ISDN address structure is illustrated in figure. ISDN number part has a maximum of 15 digits and ISDN sub address part

Determine the output voltage, Q. An inverting amplifier is designed with th...

Q. An inverting amplifier is designed with three inputs, v 1 , v 2 , and v 3 , as shown in Figure. Determine the output voltage. Then indicate how the circuit may be modified to pe

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

Find a local s-matrix for each triangle, Figure show two first-order triang...

Figure show two first-order triangular finite elements used to solve the Laplace equation for electrostatic potential. Find a local S -matrix for each triangle, and a global S -m

Induced emf, applications of dynamically induced emf

applications of dynamically induced 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