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Compute an approximate first-order-plus-time-delay transfer function by applying Skogestad’s half rule.
A First-Order reaction has a half-time(half-life) of 25 seconds. The approximate time required for the reaction to be 75% complete is A) 50s B)37.5s C)100s D)75s E)none of these
Approrimate the delay function) It is sometimes necessary to approximate the delay function y(t)ut- T) by using analog components (e.g., op-amps) (a) Expand u(t) y(t + T) around y(t) using a Taylor series up to the second order. Write down the transfer function H(s)- Y(s)/U(s) (b) Discuss whether the system with the above approximated delay function is stable. (c) Since the pure delay has the transfer function є_ST, one can approximate є_8T with a second order transfer function bos2 bs...
Analytically compute and numerically approximate the free response the following first-order, resistor- capacitor circuit, where capacitance, C-50pF (pico-Farads) and resistance, R-200ΜΩ (mega-Ohms), for an starting voltage of 2V. The voltage, v(t), represents the potential difference across the both resistor and capacitor, which are wired in parallel. COD-i() iii. By hand, solve for the free response of v(t) in terms of C and R
Analytically compute and numerically approximate the free response the following first-order, resistor- capacitor circuit, where capacitance, C-50pF...
Problem #4: Applying Routh's Criterion, use the following transfer function to compute the closed-loop system from applying a unity feedback. K(s +4) Gis)- NS D(s) (s+0.4s+4)(s+1)s + 0.5)] a) Find the range of K that makes the system stable? Show your work. You are free to use MATLAB to help with the computation to get to your end results.
Compute the following numbers, applying the significant figure rule adopted in this textbook. You may want to review (Pages 23-26) .Part A33.2 × 25.7Part B33.2-25.7
Q1) Design an operational amplifier circuit that give
the transfer function of the a first
order system:
G(s) = 100/s + 100
Q2)Assuming the reduced transfer function fo the
closed loop system is given as the
following, find the value of K that makes the system has a percent
overshoot of 15% ? Transfer function is the attached in the
figure
A system has a transfer function, G(s)=56/(s-20) . Compute the rise time.
The half-life for the first order decomposition of A is 200.0 sec. How much time must elapse for the concentration of A to decrease to (a) one-half: (b) one-sixteenth: (c) one-ninth of its initial concentration?
The half-life for the first-order decomposition of A is 3.5 hours. How much time must elapse for the concentration of A to decrease to 1/6 [A]0?