Homework Help is Here – Start Your Trial Now!
Science
Physics
We will now derive the formula for the change in electric potential energy of a charged object q in a constant electric field E when the charged object is moved with displacement Ax. (Please refer to Fig. 1) FAx (Equation 1) F = qE (Equation 2) = -W (Equation 3) W APEetec Substituting Eq. 1 in Eq. 3, APEetec = -FAx (Equation 4) Then subs. Eq. 2 in Eq. 4, APE etec = -qEAx (Eq. 2.1) Which is what we need to derive.

We will now derive the formula for the change in electric potential energy of a charged object q in a constant electric field E when the charged object is moved with displacement Ax. (Please refer to Fig. 1) FAx (Equation 1) F = qE (Equation 2) = -W (Equation 3) W APEetec Substituting Eq. 1 in Eq. 3, APEetec = -FAx (Equation 4) Then subs. Eq. 2 in Eq. 4, APE etec = -qEAx (Eq. 2.1) Which is what we need to derive.

College Physics
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)...
See similar textbooks
icon
Related questions
Question

1. What is E in the equation 2.1 derived?
2. Is E in the eq 2.1 always positive? Why?

3. What is Δx in the derived equation?
4. Is it always positive in eq 2.1?

We will now derive the formula for the change in electric potential energy of a charged object q in a constant electric field E when the charged object is moved with displacement Ax. (Please refer to Fig. 1) = FAx (Equation 1) F = qE (Equation 2) -W (Equation 3) W APEetec Substituting Eq. 1 in Eq. 3, APEelec = -FAx (Equation 4) | Then subs. Eq. 2 in Eq. 4, APE elec - qΕΔx (Εq. 2.1) Which is what we need to derive.
Transcribed Image Text:We will now derive the formula for the change in electric potential energy of a charged object q in a constant electric field E when the charged object is moved with displacement Ax. (Please refer to Fig. 1) = FAx (Equation 1) F = qE (Equation 2) -W (Equation 3) W APEetec Substituting Eq. 1 in Eq. 3, APEelec = -FAx (Equation 4) | Then subs. Eq. 2 in Eq. 4, APE elec - qΕΔx (Εq. 2.1) Which is what we need to derive.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional analysis
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS