b) Figure 1 shows the calibration data of a sensor. Determine the static sensitivity at theinput of X= 0, X= 5 and X= 10. For which input values is the system more sensitive?Calibration Data300250y = 0.875x1.0552001501005020406080100120Input value, cmFigure 1c) Suppose you found a dial thermometer in a stockroom. Discuss several methods bywhich you might estimate random and systematic error in the thermometer? Howwould you estimate its uncertainty?Output value, V

Given data We have to find the static sensitivity at X = 0 , X = 5…

b) Figure 1 shows the calibration data of a sensor. Determine the static sensitivity at the input of X= 0, X= 5 and X= 10. For which input values is the system more sensitive? Calibration Data 300 250 y = 0.875x.055 200 150 100 50 20 40 60 80 100 120 Input value, cm Output value, V

b) Figure 1 shows the calibration data of a sensor. Determine the static sensitivity at the input of X= 0, X= 5 and X= 10. For which input values is the system more sensitive? Calibration Data 300 250 y = 0.875x.055 200 150 100 50 20 40 60 80 100 120 Input value, cm Output value, V

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Answer the following questions, to test your understanding of sampling frequency and bit depth. 1. You are part of new automobile design team, and are responsible for designing the sensor data collection system. The specification of the data collection system is that is must be capable of receiving data with a resolution down to 0.1% of full scale (1 part in 1000) for any given sensor. For example, suppose the driver pushes the gas pedal, the motion of which is read by an electronic sensor such that the range of motion is defined from 0 (not pressed) to 1 (fully pressed). If you want 0.1 % accuracy, you need 1000 possible data values between 0 and 1. How many bits do you need to represent data to 0.1% accuracy? Insert a picture of your work.
QUESTION 1 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x (1) +x(t) dx(1) dt +x(t)=0 dx x(0) = 0, =1. dt =0 What is x(t=0.8)? 0.653 ○ 0.726 ○ 0.498 0.547 ○ 0.651 ○ 0.895
QUESTION 2 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x(t) dt² x(0)-1, +x²=0 dx dt #L- =1. =0 What is dx/dt (t=2.5)? -0.217 -1.32 0.432 0.556 -0.485 ○ 0.120
4:07 3G l. Moodle A bbb2.du.edu.om EE ...Session (15-3- Said Grami O College of Engineering Vision for the Future Question 3 During a step function calibration, a first-order instrument is exposed to a step change of 200 units. 1- If after 1.5 s the instrument indicates 140 units, find the instrument time constant. 2- find the error in the indicated value after 2 s S. 3- Find the raise time at 90 % of the system. y(0)=0 units; K=1 unit/unit. Question 4 A first order instrument with a time constant of 2 seconds is to be used to measure a periodic input. If a dynamic error of ±2% can be tolerated, 1- determine the maximum frequency of periodic input that can be measured. 2- What is the associated time lag (in seconds) at that frequency? MECH374: Instrumentation and Measurement Said Grami Practice
b) A linear variable displacement transducer (LVDT) senses displacement and indicates a voltage output, which is linear to the input. Figure 1 shows an LVDT setup used for static calibration. It uses a micrometre to apply the known displacement and a voltmeter for the output. i) Suggest the independent, dependent and extraneous variables in this calibration. ii) Indicate the basic functional elements of the device in Figure 1 in the form of block diagram. 10 Micrometer Fixed mounts Connector Excitation voltage in Figure 1 Primary coil xx_w_ LVDT E Output voltage 10.135 Voltmeter Secondary coil Core
3. The results of a simple calibration of pressure transducer and its specification are shown in Figure 1 and Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.51x +0.02 . a) Calculate the hysteresis and linearity errors for this calibration. b) Please discuss either the pressure transducer can now be used for the actual measurement or not. Table 1: Pressure tansducer specification Оperation Input range 0- 5 kPa + 15 V 0 - 2.5 V Excitation Output range Performance Linearity error ± 3 % Hysteresis Less than + 15% Sensitivity error + 5% Thermal sensitivity error + 0.02% / °C Temperature range 0 - 50 °C 2.5 upacale mesurement downscale measurement 0.5 0.5 3.5 pressure, kPa Оприt, voltage ((V) Upscale Input, pressure (kPa) Downscale 0.00 0.00 1 0.53 0.48 2 1.05 0.94 3 1.62 1.45 4 2.12 1.95 5 2.50 2.50 Figure 1: Calibration results (plot and tabulated data)
c) In a particular process, the output result of force is a function of the displacement by F(kN) = = x-¹ + 2x where x is in [cm] Determine the sensitivity of force to displacement at 1 cm by dithering. Compare this to the analytical result based on the partial derivative.
1- Change in temperature is a physical input variable of a sensor. Select one: True False
2. Consider the voltmeter calibration data in Table 1. The sensitivity of the pressure sensor is 0.5 V/kPa (given by manufacturer) and the linear curve fit for the upscale calibration is given as y = 0.9829 x + 0.1095 . Plot the data using a suitable scale. a) Specify the percent maximum hysteresis based on full-scale range. b) Referring to increasing input calibration, determined the sensitivity and linearity errors. Increasing input (mV) Decreasing input (mV) Y Y 0.0 0.1 5.0 5.0 1.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 0.0 0.2 Table 1: Calibration results
A. A customer asked you to explain your choice of a temperature sensor that you used for his PCB. Initially, there were two sensor options. To compare between them, you decided to test their accuracy and precision. Accuracy of a sensor is a measure of how near its reading is to the real value, the nearer the measured value to the real value the better. While precision is a measure of how widely spread the readings of a sensor are [relative to each other] when measuring the same variable, the narrower the spread the better. So, you tested the two sensors by measuring the same temperature, which was 100 C of boiling water, and you recorder the following 10 measurements of each sensor. Which Sensor has higher accuracy, and which one has higher precision. Sensor Sensor readings when measuring 100 C 99.65 100.05 103 102 99.3 s1 100.1 99.1 100.5 99 98.8 98.78 96.9 101.4 98.88 99 S2 99.12 98.9 99 98.69 99.2
A temperature sensor Pt100 has a rage from -200C to 850C as shown in the figure. Considering the function is linear, find the sensitivity of the sensor? How can we ?improve the sensitivity of this sensor Resistance vs. Temperature- Pt100 (385) 400 350 300 250 200 150 100 50 -200 100 100 200 300 400 50 600 700 800 900 Temperature ["c) Resistance [Ohms]
Truncation errors are increased as the round-off errors are decreased.Group of answer choices True False Say, you have a thermometer and you are checking the temperature of a body that has a temperature of 36o Using your thermometer five times, it gives you the following measurements: 29oC, 29.2oC, 29.3oC, 28.9oC, and 29.1oC. What can we conclude about the accuracy and the precision of the thermometer?Group of answer choices The thermometer is not accurate and not precise The thermometer is faulty. The thermometer is accurate and precise The thermometer is not accurate but precise. Say, you have a thermometer and you are checking the temperature of a body that has a temperature of 36o Using your thermometer five times, it gives you the following measurements: 36oC, 35.6oC, 36oC, 37oC, and 36.2oC. What can we conclude about the accuracy and the precision of the thermometer?Group of answer choices The thermometer is accurate and precise. The thermometer is accurate but not precise. The…