A Capacitive Scale. You and your team are tasked with finding a way to electronically measure weight. You get the idea to measure the capacitance between two circular conducting plates of mass m = 0.112 kg and radius r = 11.5 cm separated by a nonconducting vertical spring of spring constant k = 1.35 × 104 N/m and unstrained length do = 3.55 cm. The idea is that the object whose weight is to be determined is placed on the upper plate, thereby compressing the spring and bringing the two plates closer together. This, in turn, changes the capacitance. An electronic instrument that measures capacitance is interfaced with a computer that records the capacitance of the plates and converts it to weight. (a) Your task is to derive an equation for the weight in terms of the capacitance that the computer will use to convert the measured capacitance to weight (in N). Enter your answer in terms of Wo - the weight of the upper plate, C - the capacitance of the capacitor, the variables given above and the fundamental constants. You can neglect any electrostatic forces between the plates of the capacitor. (b) What is the weight of an object placed on the upper plate that results in a measured capacitance of 16.3 pF? Enter your answer with 3 significant digits.
A Capacitive Scale. You and your team are tasked with finding a way to electronically measure weight. You get the idea to measure the capacitance between two circular conducting plates of mass m = 0.112 kg and radius r = 11.5 cm separated by a nonconducting vertical spring of spring constant k = 1.35 × 104 N/m and unstrained length do = 3.55 cm. The idea is that the object whose weight is to be determined is placed on the upper plate, thereby compressing the spring and bringing the two plates closer together. This, in turn, changes the capacitance. An electronic instrument that measures capacitance is interfaced with a computer that records the capacitance of the plates and converts it to weight. (a) Your task is to derive an equation for the weight in terms of the capacitance that the computer will use to convert the measured capacitance to weight (in N). Enter your answer in terms of Wo - the weight of the upper plate, C - the capacitance of the capacitor, the variables given above and the fundamental constants. You can neglect any electrostatic forces between the plates of the capacitor. (b) What is the weight of an object placed on the upper plate that results in a measured capacitance of 16.3 pF? Enter your answer with 3 significant digits.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Concept explainers
Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
Question
Transcribed Image Text:A Capacitive Scale. You and your team are tasked with finding a way to electronically measure weight. You get the idea to measure the
capacitance between two circular conducting plates of mass m = 0.112 kg and radius r = 11.5 cm separated by a nonconducting vertical spring
of spring constant k = 1.35 × 104 N/m and unstrained length då = 3.55 cm. The idea is that the object whose weight is to be determined is placed
on the upper plate, thereby compressing the spring and bringing the two plates closer together. This, in turn, changes the capacitance. An
electronic instrument that measures capacitance is interfaced with a computer that records the capacitance of the plates and converts it to
weight. (a) Your task is to derive an equation for the weight in terms of the capacitance that the computer will use to convert the measured
capacitance to weight (in N). Enter your answer in terms of
Wo - the weight of the upper plate,
C - the capacitance of the capacitor, the variables given above and the fundamental constants. You can neglect any electrostatic forces
between the plates of the capacitor. (b) What is the weight of an object placed on the upper plate that results in a measured capacitance of 16.3
pF? Enter your answer with 3 significant digits.
(a) W
=
(b) W = N
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON