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

The electrical circuit sign convention, The Electrical Circuit sign convent...

The Electrical Circuit sign convention Notice that current leaves a source at its high potential (positive) terminal but enters a load at its high potential (positive) ter

Show dc generator characteristics, Q. Show DC Generator Characteristics? ...

Q. Show DC Generator Characteristics? Figure shows schematic diagrams of field-circuit connections for dc machines without including commutating pole or compensating windings.

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

State the principle of operation of a capacitor, a. Describe why a three-ph...

a. Describe why a three-phase induction motor rotates always with a speed less than the synchronous speed. b. State the principle of operation of a capacitor start single-phase

Magnetic Circuits:, A circular ring of magnetic material has a mean length ...

A circular ring of magnetic material has a mean length of 1m and a cross sectional area of .001m^2.A sawcut of 5mm width is made in the ring . calculate the magnetizing current req

Communication systems/theory, have 18 multiple choice questions i need answ...

have 18 multiple choice questions i need answered by 9am cst and will pay Need ASAP

Explain the phenomenon of breakdown in dielectric materials, Explain the ph...

Explain the phenomenon of breakdown in dielectric materials. Breakdown in dielectric materials: This electric strength at breakdown is explained as the minimum electric stress

Define capacitor construction, Define Capacitor Construction In its mo...

Define Capacitor Construction In its most elementary state a capacitor having of two metal plates separated by a certain distance d, in among the plates lies a dielectric mate

Blind equalization using constant modulus approach, please i need to prepar...

please i need to prepare thesis proposal based on the title above. analysis of recently exixting algorithm and propose an improved one. UGENTLY!!

Find the real and reactive powers per phase, Q. A 345-kV, 60-Hz, three-phas...

Q. A 345-kV, 60-Hz, three-phase transmission line delivers 600 MVA at 0.866 power factor lagging to a three-phase load connected to its receiving- end terminals. Assuming that the

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