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

Why equalizing connection are used in lap winding dummy coil, Q.   Explain ...

Q.   Explain why equalizing connection are used in lap winding and dummy coils are some time used in wave winding. Sol.  For batteies operating in parallel, the circulating c

Connection of shunt capacitors - across individual customers, Connection of...

Connection of Shunt Capacitors - Across Individual Customers The most appropriate manner of improving PF of the distribution system and thereby reducing line losses is to link

Describe flat plate collectors, Describe flat plate collectors. Explain liq...

Describe flat plate collectors. Explain liquid flat plate collector with relevant diagram. Describe different types of absorbing surface areas with diagram. Also discuss their r

What is the value of the lsb resistor, Q. For a 10-bit R-2R ladder-network ...

Q. For a 10-bit R-2R ladder-network D/A converter with an MSB resistor value of 10 k, what is the value of the LSB resistor?

#title thyristor, what is finger voltage in terms of thyristor

what is finger voltage in terms of thyristor

Power engineering, is electrical power more important in the world than oth...

is electrical power more important in the world than other streams?

DC Generators, The armature of a 6 pole, 600 r.p.m. lap wound generator has...

The armature of a 6 pole, 600 r.p.m. lap wound generator has 90 slots. if each coil has 4 turns, how do you calculate the number of conductors to calculate the flux per pole to gen

What are the display devices, Q. What are the Display Devices? Display ...

Q. What are the Display Devices? Display devices can be categorized as on/off indicators, numeric, alphanumeric, or graphical displays. They may also be classified as active an

What is photovoltaics?, Photovoltaics  is a high-technology approach  to ch...

Photovoltaics  is a high-technology approach  to changing sunlight  directly  into  electrical  energy.  The  electricity  is direct  current  and  can  be  used  that  way,  chnag

What do you mean by continuous signals, Q. What do you mean by Continuous s...

Q. What do you mean by Continuous signals? Continuous signals are described by time functionswhich are defined for all values of t (a continuous variable). Commercial broadcast

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