7) The output of a potentiometer is measured by a voltmeter having a resistance Rm, as...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
7) The output of a potentiometer is measured by a voltmeter having a resistance Rm, as shown in Figure 3.12. R, is the resistance of the total length X, of the potentiometer and R; is the resistance between the wiper and common point C for a general wiper position X;. Show that the measurement error due to the resistance R, of the measuring instrument is given by R (R, – R;) R,(R;R, + RmR – R}) Error = E Hence show that the maximum error occurs when X; is approximately equal to 2X,/3. (Hint-differentiate the error expression with respect to R; and set to 0. Note that maximum error does not occur exactly at X; = 2X,/3, but this value is very close to the position where the maximum error occurs). Figure 3.12 15) The translational motion potentiometer of Prob. 7) above has a stroke length of 200 mm and is to be used in a particular measurement situation. The output voltage from the potentiometer is to be measured by an instrument whose resistance is 15 k. The maximum measurement error, which occurs when the slider is positioned two-thirds of the way along the element (i.e., when Ri = 2R:/3 in Fig. 3.12 above), must not exceed 0.5% of the full-scale reading. The highest possible measurement sensitivity is also required. A family of potentiometers having a power rating of 0.1 W per mm and resistances ranging from 100 2 to 10 k2 in 100 2 steps are available. Choose the most suitable potentiometer from this range and calculate the measurement sensitivity that it provides. 7) The output of a potentiometer is measured by a voltmeter having a resistance Rm, as shown in Figure 3.12. R, is the resistance of the total length X, of the potentiometer and R; is the resistance between the wiper and common point C for a general wiper position X;. Show that the measurement error due to the resistance R, of the measuring instrument is given by R (R, – R;) R,(R;R, + RmR – R}) Error = E Hence show that the maximum error occurs when X; is approximately equal to 2X,/3. (Hint-differentiate the error expression with respect to R; and set to 0. Note that maximum error does not occur exactly at X; = 2X,/3, but this value is very close to the position where the maximum error occurs). Figure 3.12 15) The translational motion potentiometer of Prob. 7) above has a stroke length of 200 mm and is to be used in a particular measurement situation. The output voltage from the potentiometer is to be measured by an instrument whose resistance is 15 k. The maximum measurement error, which occurs when the slider is positioned two-thirds of the way along the element (i.e., when Ri = 2R:/3 in Fig. 3.12 above), must not exceed 0.5% of the full-scale reading. The highest possible measurement sensitivity is also required. A family of potentiometers having a power rating of 0.1 W per mm and resistances ranging from 100 2 to 10 k2 in 100 2 steps are available. Choose the most suitable potentiometer from this range and calculate the measurement sensitivity that it provides.
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
As shown in Figure P25.57, two large parallel vertical conducting plates separated by distance d are charged so that their potentials are + V0 and -V0. A small conducting ball of mass m and radius R...
-
A mercury thermometer is constructed as shown in Figure P19.47. The capillary tube has a diameter of 0.004 00 cm, and the bulb has a diameter of 0.250 cm.
-
A garden hose is held as shown in Figure P9.13. The hose is originally full of motionless water. What additional force is necessary to hold the nozzle stationary after the water flow is turned on, if...
-
(2) Write an 8086-assembly code to control the interrupt of (3) stepper motors and (2) servo motors in which each motor has its interrupt. The buffered mode for master was required with normal end of...
-
Suppose that a thrift institutions liquidity division estimates that it holds $19 million in hot money deposits and other IOUs against which it will hold an 80 percent liquidity reserve, $54 million...
-
The managers of Merton Medical Clinic are analyzing a proposed project. The project's most likely NPV is $120,000, but, as evidenced by the following NPV distribution, there is considerable risk...
-
What is the relationship between asset turnover, return on assets, and return on sales?
-
Mr. Wiggley wants to buy a new house. It will cost $178,000. The bank will loan 90% of the purchase price at a nominal interest rate of 10.75% compounded weekly, and Mr. Wiggley will make monthly...
-
Discuss what makes a hospital operationally unique. Why? References: https://www.who.int/health-topics/hospitals#tab=tab_1...
-
Last August, Malcolm (who is single) moved out of his rented apartment in Toronto, Ontario, to move to Vancouver, British Columbia, where he now lives and works. Malcolm has two T4s, one from Ontario...
-
10. For the following graph, decide if: (a) the degree of the function is even or odd, and () if the leading coefficient is positive or negative. 12 10 0 2 4 -6 (a) Degree: (b) Leading Coeff
-
A contractor purchased a dump truck for $98,500. This price included freight. Sales tax was 7.5%. The useful life of this dump truck is 8 years and the salvage value is estimated at $10,000. What is...
-
A 60.4 m long thick wire attaches 29.6 m up a radio tower pole. The wire then attaches into the ground to steady the pole in windy weather. How far from the pole is the wire stuck into the ground if...
-
Find B-A. 27 -7 7 A = B = 68 5-1
-
An enduring controversy within financial theory concerns the effect of financial leverage on the value and stock price of a company. Can a company affect its overall value by selecting an optimal...
-
Select three cosmetic marketing communications channels: one online and two traditional, that will be used to market a business. Explain why they were chosen based on the business, its target market,...
-
Raw materials used $16,300 Direct labor wages 32,300 Sales salaries and commissions 24,300 Depreciation on production equipment 2,930 Rent on manufacturing facilities 3,930 Administrative supplies...
-
The test statistic in the NeymanPearson Lemma and the likelihood ratio test statistic K are intimately related. Consider testing H 0 : = 0 versus H a : = a , and let * denote the test statistic...
-
For a batch rectifier with appreciable column holdup: (a) Why is the composition of the charge to the still higher in the light component than the still composition at the start of rectification,...
-
1,000 grams of water is mixed with 50 grams of Ag2C03 and 100 grams of AgCl. At equilibrium at 25oC, calculate the concentrations in moles/liter of Ag+, C1, and COT ions and the grams of Ag2CO3 and...
-
The liquid-liquid extractor in figure operates at 100F and a nominal pressure of 15 psia. For the feed and solvent flows shown, determine the number of equilibrium stages to extract 99.5% of the...
-
The Forrester Company's income statement and comparative balance sheets as of December 31 of 2019 and 2018 are shown below: Cash dividends of \(\$ 31,000\) were declared and paid during 2019. Plant...
-
The Geary Company's income statement and comparative balance sheets as of December 31 of 2019 and 2018 follow: During the year, the following transactions occurred: 1. Sold equipment for \(\$ 9,000\)...
-
Meagan Enterprises reported the following information for the past year of operations: For each transaction, indicate whether the ratio will (I) increase, (D) decrease, or (N) have no effect....
Study smarter with the SolutionInn App