ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
8th Edition
ISBN: 9781119235385
Author: Thomas
Publisher: WILEY
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Chapter 4, Problem 4.87P
The acid/alkaline balance of a fluid is measured by the pH scale. The scale runs from 0 (extremely acid) to 14 (extremely alkaline), with pH 7 being neutral. A pH electrode is a sensor that produces a small voltage that is directly proportional to the pH of the fluid in a test chamber. For a certain pH electrode, the proportionality factor is 50 mV/pH. A preamplifier is needed to interface this sensor with a variety of laboratory instruments. The output of the preamp must be 1 V when the sensor is immersed in a test solution with
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Given the following reaction system, where Xo is the input, i.e u(t) = k₁ × Xo:
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a) Build the model in Tellurium and run a simulation. Compute the Jacobian at steady
state using the method getFull Jacobian(). Make sure you are at steady state!
b) Write out the values for n and p
c) Write out the differential equations.
d) Write out the state space representation in terms of the rate constants etc.
e) Compute the values in the Jacobian matrix from d) by substituting the values of the rate
constants etc and any data you need from the simulation.
f) Confirm that the Jacobian you get in e) is the same as the one computed from the
simulation in a).
g) Is the system stable or not? If you find an eigenvalue of zero, that means the system is
marginally stable. You can get the eigenvalues using the tellurium method r.getFullEigenvalues()
Chapter 4 Solutions
ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
Ch. 4 - Find the voltage gain vO/vS and current gain iO/ix...Ch. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Find the voltage gain vO/vS in Figure P4-5.Ch. 4 - Find the voltage gain vO/vS in Figure P4-6.Ch. 4 - Find an expression for the current gain iO/iS in...Ch. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Find an expression for the voltage gain vO/vs in...
Ch. 4 - Prob. 4.12PCh. 4 - In the circuit of Figure P4-13, the VCVS has of...Ch. 4 - Prob. 4.14PCh. 4 - (a) Find the Thévenin equivalent circuit that the...Ch. 4 - Prob. 4.16PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - The circuit parameters in figure P4-21 are...Ch. 4 - The circuit parameters in Figure P4-21 are...Ch. 4 - The parameters of the transistor in Figure P4-23...Ch. 4 - Prob. 4.25PCh. 4 - Find the voltage gain of each OP AMP circuit shown...Ch. 4 - Considering simplicity and standard 10 tolerance...Ch. 4 - Two OP AMP circuits are shown in Figure P4-28....Ch. 4 - Prob. 4.29PCh. 4 - What is the range of the gain vO/vS in Figure...Ch. 4 - Using only one OP AMP, design a circuit that...Ch. 4 - Design a circuit using only one OP AMP that...Ch. 4 - Prob. 4.36PCh. 4 - For the circuit in Figure P4-37: (a) Find vO in...Ch. 4 - A young designer needed to amplify a 2-V signal by...Ch. 4 - Design two circuits to produce the following...Ch. 4 - Design a noninverting summer for five inputs with...Ch. 4 - For the circuit in Figure P4-41: Find vO in terms...Ch. 4 - The input-output relationship for a three-input...Ch. 4 - Find vo in terms of the inputs v1,v2, and v3 in...Ch. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - It is claimed that vO=vS when the switch is closed...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Use node-voltage analysis in Figure P4-51 to show...Ch. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - For the block diagram of Figure P4-54: Find an...Ch. 4 - For the block diagram of Figure P4-55: Find an...Ch. 4 - For the circuit in Figure P4-56: Find vO in terms...Ch. 4 - Prob. 4.57PCh. 4 - Onan exam, students were asked to design an...Ch. 4 - Prob. 4.59PCh. 4 - For the circuit of Figure P4-60: Use node-voltage...Ch. 4 - Prob. 4.61PCh. 4 - Design a single OP AMP amplifier with a voltage...Ch. 4 - Design an OP AMP amplifier with a voltage gain of...Ch. 4 - Using a single OP AMP, design a circuit with...Ch. 4 - Design a differential amplifier with inputs v1 and...Ch. 4 - Using no more than two OP AMPs, design an OP AMP...Ch. 4 - Design a two-input noninverting summer that will...Ch. 4 - Design a three-input noninverting summer that will...Ch. 4 - Design a cascaded OP AMP circuit that will produce...Ch. 4 - Design a cascaded OP AMP circuit that will produce...Ch. 4 - Using the instrumentation amplifier shown in...Ch. 4 - Prob. 4.73PCh. 4 - Design a circuit that can produce vO=2000vTR2.6V...Ch. 4 - A requirement exists for an OP AMP circuit with...Ch. 4 - A requirement exists for an OP AMP circuit to...Ch. 4 - A particular application requires that an...Ch. 4 - Prob. 4.78PCh. 4 - The full-scale output of a six-bit DAC is 10.0 V....Ch. 4 - An R2R DAC is shown in Figure P4-80. The digital...Ch. 4 - A fifth bit is added to the R-2R DAC shown in...Ch. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - A small pressure transducer has the...Ch. 4 - A medical grade pressure transducer has been...Ch. 4 - The acid/alkaline balance of a fluid is measured...Ch. 4 - A photoresistor varies from 10 in bright sunlight...Ch. 4 - Your engineering firm needs an instrumentation...Ch. 4 - Prob. 4.90PCh. 4 - Prob. 4.92PCh. 4 - Prob. 4.93PCh. 4 - A five-bit flash ADC in Figure P4-94 uses a...Ch. 4 - Bipolar Power Supply Voltages The circuit in...Ch. 4 - Thermometer Design Problem There is a need to...Ch. 4 - High Bias Design Problem A particular pressure...Ch. 4 - Prob. 4.99IPCh. 4 - OP AMP Circuit Analysis and Design Find the...Ch. 4 - Instrumentation Amplifier with Alarm Strain gauges...
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