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

What do you mean by pinch off voltage, Q. What do you mean by Pinch off vol...

Q. What do you mean by Pinch off voltage? As the voltage Vds is increased from 0 to a few volts, the drain current will increase as  determined by Ohm's law and the plot of Id

Working principle of ultrasonic machine, Illustrate the working principle, ...

Illustrate the working principle, equipment used,process characteristic, advantage and disadvantage of water jet machine (WJM) (a) Illustrtae the working principle of ultrasonic

Sketch the phasor diagram showing all the voltages, Q. A balanced wye-conne...

Q. A balanced wye-connected load with a per-phase impedance of 4 + j3  is supplied by a 173-V, 60-Hz three-phase source. (a) Find the line current, the power factor, the total

Hybrid meters, Hybrid Meters These meters have electronic measurement ...

Hybrid Meters These meters have electronic measurement circuits but show is by impulse counters/stepper motors. Accuracy is classically class 1.0 or 2.0 and commonly these met

Sensor selection, Submit a brief report on the selection of two commerciall...

Submit a brief report on the selection of two commercially available sensors for the following: • Research and recommend a sensor for a real full size conveyor system of approxima

Multiplexed address data bus - pins and signals , Multiplexed Address/ Data...

Multiplexed Address/ Data Bus Pins AD 7 - AD) are used for multiplexed address data bus. This bus is bidirectional  input output  and  serves two  purpose. Initially the bus

Determine the total energy ?owing into the component, Q. The voltage at ter...

Q. The voltage at terminal a relative to terminal b of an electric component is v(t) = 20 cos 120πt V. A current i(t) =-4 sin 120πt A ?ows into terminal a. From time t 1 to t 2 ,

Multi-link connection in a network of register, Q. Multi-link connection in...

Q. Multi-link connection in a network of register? For a multi-link connection in a network of register- controlled exchanges, a register in originating exchange receives addre

Compare call and push instructions, Compare CALL and PUSH instructions ...

Compare CALL and PUSH instructions CALL PUSH When CALL is implemented the microprocessor automatically stores the 16-bit address of the instruction next to CALL on the sta

Measurement of frequency by wein''s bridge, Q.  Explain the measurement of...

Q.  Explain the measurement of frequency in detail by using Wein's bridge. Sol. The Wein's bridge is presented here not only for its use as an AC bridge to measure frequency

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