Solution Found!

Introduction to Engineering Experimentation | 3rd Edition | ISBN: 9780131742765 | Authors: Anthony J. Wheeler, Ahmad R. Ganji
Change Question

As detailed in an instrument catalog, a power quality

Chapter , Problem 7.43

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

As detailed in an instrument catalog, a power quality analyzer has the following specifications: Voltage (V): Current (1): Power factor (PF): 600 V (rms) range, accuracy 1 % of reading 1-1000 A, 1 % of reading 2% of reading Using the formula P = V x I x PFv'3, (a) Calculate the uncertainty in power measurement as a percentage of reading due to the measurement device for measured values of 460 V, 36 amp, and a power factor of 0.81. (b) In logging data with a high sampling rate, the calculated standard deviations of the readings are 3.00 V, 2.00 A, and 0.03 for the power factor, while the mean values are 460 V, 35.00 A, and 0.81 for the power factor. Determine the random and systematic uncertainty of the measurements. (c) What is the total uncertainty in the power measurement at a 95% confidence level?

Questions & Answers

QUESTION:

As detailed in an instrument catalog, a power quality analyzer has the following specifications: Voltage (V): Current (1): Power factor (PF): 600 V (rms) range, accuracy 1 % of reading 1-1000 A, 1 % of reading 2% of reading Using the formula P = V x I x PFv'3, (a) Calculate the uncertainty in power measurement as a percentage of reading due to the measurement device for measured values of 460 V, 36 amp, and a power factor of 0.81. (b) In logging data with a high sampling rate, the calculated standard deviations of the readings are 3.00 V, 2.00 A, and 0.03 for the power factor, while the mean values are 460 V, 35.00 A, and 0.81 for the power factor. Determine the random and systematic uncertainty of the measurements. (c) What is the total uncertainty in the power measurement at a 95% confidence level?

ANSWER:

Step 1 of 4

Random uncertainty:

We can estimate the random uncertainty using the t-distribution:

 

Here  

 

The standard deviation can be determined using the same sample. That is used to determine the mean of another sample with M tests.

Add to cart

Study Tools You Might Need

Chapter: 14 Problem: 98P

Introductory Chemistry 5
Problem 98P An antacid tablet requires 25.82 mL of 0.200 M HCl to titrate to its equivalence point. What volume in milliliters of stomach acid can be neutralized by the antacid tablet? Assume that stomach acid has a pH of 1.1. (Assume two significant figures in your calculations.)

Chapter: 2 Problem: 2.40

Classical Mechanics 0
Consider an object that is coasting horizontally (positive x direction) subject to a drag force f = by cv2. Write down Newton's second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t. Explain the time dependence for t large. (Which force term i

Chapter: 8 Problem: 2

Campbell Biology 9
Most cells cannot harness heat to perform work because a. heat is not a form of energy. b. cells do not have much heat; they are relatively cool. c. temperature is usually uniform throughout a cell. d. heat can never be used to do work. e. heat must remain constant during work

Chapter: 0 Problem: 2

Biology 8
The immediate energy source that drives ATP synthesis by ATP synthase during oxidative phosphorylation is the a. oxidation of glucose and other organic compounds. b. flow of electrons down the electron transport chain. c. affinity of oxygen for electrons. d. H+ concentration across the membrane holdi

Chapter: 6 Problem: 19

Anatomy & Physiology 1
The area of a bone where the nutrient foramen passes forms what kind of bone marking? a. a hole b. a facet c. a canal d. a fissure

Chapter: 10 Problem: 1

Campbell Biology 10
The light reactions of photosynthesis supply the Calvin cycle with a. light energy. b. CO2 and ATP. c. H2O and NADPH. d. ATP and NADPH.

Chapter: 3 Problem: 2

Human Biology 11
Jogging is considered aerobic exercise because the cardio-vascular system (heart and blood vessels) can adjust to supply the oxygen needs of working cells. In contrast, sprinting the 100-meter dash might be called anaerobic (lacking oxygen) exercise, and golf non aerobic exercise. Explain these last

Chapter: 5 Problem: 32

Brief Applied Calculus
First make a substitution and then use integration by parts to evaluate the integral. \(\int t^{3} e^{-t^{2}} d t\)

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back