Calculating change in energy of a particle

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Homework Help Overview

The problem involves calculating the change in potential energy of an electron moving between two parallel plates with differing electric potentials. The context is rooted in electrostatics and energy conservation principles.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the change in potential energy using the formula related to electric potential and charge. Some participants question the correctness of the book's answer and the interpretation of the problem.

Discussion Status

The discussion is ongoing, with participants exploring the reasoning behind the original poster's calculation and the discrepancy with the book's answer. Some guidance has been offered regarding the interpretation of potential energy versus kinetic energy.

Contextual Notes

There is a noted assumption that the problem specifically asks for the change in potential energy, which some participants are verifying. The original poster expresses confusion regarding the sign of the calculated energy change.

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Homework Statement



An electron moves from an initial location between parallel plates where the electric potential is Vi = 30 V and Vf = 150 V

a) Determine the change in the electrons potential energy

2. Equations
J/C = V = N/C * m

The Attempt at a Solution


a) The electron is naturally moving to a location of higher energy, therefore its potential energy decreases as its kinetic energy increases.

Potential energy change = Ep2 - Ep1 = Vfq - Viq = q(Vf-Vi) = q(120 V) = -1.92 * 10^-17 J.

The sign makes sense to me, since the electron has more potential energy at Vi than Vf.

However, the book says the answer is +1.92*10^-17 J. Can someone help me out with why I am is wrong? Thanks
 
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Well your book looks like its wrong. Your qualitative reasoning seems correct to me.
 
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Are you sure they didn't ask for the change in kinetic energy? Because otherwise I have to agree with your answer as being negative.
 
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Yes I'm sure they asked for potential energy. I guess the book is wrong. Thanks for confirming this.
 

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