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

Determine the maximum power, Determine the maximum power: 1 For the c...

Determine the maximum power: 1 For the circuit shown below, what value of RL will result in maximum power transfer? Determine the maximum power dissipated in RL. You

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

Calculate the maximum motor torque, A 1000-hp, 2300-V, wye-connected, three...

A 1000-hp, 2300-V, wye-connected, three-phase, 60-Hz, 20-pole synchronous motor, for which cylindrical-rotor theory can be used and all losses can be neglected, has a synchronous r

Evaluate currents in the circuits, Evaluate currents in the circuits: ...

Evaluate currents in the circuits: Determine currents I 1 and I 2 in the given circuits by applying KVL. Solution We apply KVL for first loop : 10 = 1 I 1   + 1 (

What is the function of ct and p.t, Q. What is the function of CT and P.T a...

Q. What is the function of CT and P.T and where they are used? Ans: The full form of CT is Current transformer and is used for calculating of current. The full form of PT is

Write a control word for counter 1 of 8253 / 8254, Write a control word for...

Write a control word for counter 1 of 8253 / 8254 that selects the following options:  load least significant byte only, mode 5 of operation and binary counting.  Then write an ins

Sketch the asymptotic bode diagrams, Q. Sketch the asymptotic Bode diagrams...

Q. Sketch the asymptotic Bode diagrams for the following functions:

Draw circuit diagrams and show polarity markings, Q. Two single-phase trans...

Q. Two single-phase transformers, each rated 2400: 120-V, are to be interconnected for (a) 4800:240- V operation, and (b) 2400:120-V operation. Draw circuit diagrams and show polar

CRT, Why are the operating voltages of a CRT arranged so that the deflectio...

Why are the operating voltages of a CRT arranged so that the deflection plates are nearly at ground potential?

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