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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.
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.
Extra credit: Find the transfer function G(s) = Y(s) / R(s) for the following system represented in state space.
Discuss causes, effect,removal
Consider a three-phase induction motor with a normal torque-speed characteristic. Neglecting the effects of stator resistance and leakage reactance, discuss the approximate effect
E l e c t r ons and Holes For T> 0 K, there would be some electrons in the otherwise empty conduction band, and some empty states in the otherwise filled valence ban
Components of GIS: 1. Software: GIS software gives the functions and tools required to store, analyze, and show geographical information. The key software elements are:
Q. Consider the synchronous counter shown in Figure of the text. (a) Draw its timing diagram. (b) Show the implementation of the same synchronous counter using D flip-flops.
Effective Mass The electrons' "wave-particle" motion in a lattice is not the same as that for a free electron, because of the interaction with the periodic potential of the
Q. Determine v o /v i for the circuit shown in Figure if the op amps are ideal.
Q. Find the currents I x using current division and equivalent resistor reductions for the networks given in Figure.
LIFO (Last In First Out) stack is used in 8085.In this type of Stack the last kept information can be retrieved first.
Energy stored in a magnetic field Consider a circuit consisting of a voltage supply, switch, resistor and a coil of N turns wound on a toroid of length l, all in series
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