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 bandwidth required for transmission, 1. A PCM system uses 8 b...

1. A PCM system uses 8 bits per sample and the analog signal is limited to 4.3 kHz. The PCM data is transmitted using (a) BFSK and (b) ASK. Determine the bandwidth required for tra

What is a darlington pair, Q. What is a darlington pair?               ...

Q. What is a darlington pair?                             The Darlington circuit consists of two cascaded emitter followers with infinite emitter resistance in the first stage.

Speed control using phase controlled converters , Speed Control Using Phase...

Speed Control Using Phase Controlled Converters Phase controlled  converters converts a constant ac voltage  into  variable  controlled  dc voltage. This  variable  dc voltage

Compute the maximum value of the voltage induced in the coil, Q. The coil i...

Q. The coil is placed so that its axis of revolution is perpendicular to a uniform field, as shown in Figure If the flux per pole is 0.02 Wb, and the coil, consisting of 2 turns, i

Calculate the dc voltage appearing across the brushes, The armature of a fo...

The armature of a four-pole dcmachine has a simplex lap wound commutator winding (which has the number of parallel paths equal to the number of poles) with 120 two-turn coils. If t

Clipper ciruit working explanation, how the clipper circuits are working? e...

how the clipper circuits are working? explanation of working of clipper circuits

Technology options for metering, Technology Options for Metering Energ...

Technology Options for Metering Energy meters classically consist of an energy measurement apparatus for measuring energy consumption and a gauge in which is visible outside t

Pdc, disadvantages of shunt&series clippers

disadvantages of shunt&series clippers

Explain protected mode addressing, Explain protected mode addressing. ...

Explain protected mode addressing. This addressing permits access to data and programs located as the first 1M byte of memory, with in the first 1M byte of memory. Addressing

How many electrons all semiconductor have in last orbit, All semiconductors...

All semiconductors in their last orbit have (A)  8 electrons.  (B) 2 electrons. (C)  4 electrons. (D)  6 electrons. Ans:     All semiconductors in their

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