Three configurations of charged particles are shown below. All particles are the same distance from the origin. configuration 1 configuration 2 configuration 3 y y y +2q +3q - 29 +3q -49 +29 -49 - 39 +4q 1. Rank the configurations in terms of their electrostatic potentials at the origin from greatest to least. 2. Rank the electric potential energies of the three-particle systems from greatest to least. 3. How much work would it take to change configuration 1 to configuration 2?
Three configurations of charged particles are shown below. All particles are the same distance from the origin. configuration 1 configuration 2 configuration 3 y y y +2q +3q - 29 +3q -49 +29 -49 - 39 +4q 1. Rank the configurations in terms of their electrostatic potentials at the origin from greatest to least. 2. Rank the electric potential energies of the three-particle systems from greatest to least. 3. How much work would it take to change configuration 1 to configuration 2?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:**Three Charge Configurations: Analysis and Rankings**
Three configurations of charged particles are shown below. All particles are the same distance from the origin.
**Configuration 1:**
- At \( x = 0 \), \( y = +2q \).
- At \( x = -4q \), \( y = 0 \).
- At \( x = +3q \), \( y = 0 \).
**Configuration 2:**
- At \( x = 0 \), \( y = +3q \).
- At \( x = -4q \), \( y = 0 \).
- At \( x = +2q \), \( y = 0 \).
**Configuration 3:**
- At \( x = 0 \), \( y = -2q \).
- At \( x = +4q \), \( y = 0 \).
- At \( x = -3q \), \( y = 0 \).
**Questions:**
1. Rank the configurations in terms of their electrostatic potentials at the origin from greatest to least.
2. Rank the electric potential energies of the three-particle systems from greatest to least.
3. How much work would it take to change configuration 1 to configuration 2?
**Explanations:**
Each configuration involves three charges placed symmetrically around the origin. The electrostatic potential at a point due to a point charge is determined by the charge's magnitude and the inverse of its distance from the point. The net electrostatic potential at the origin for each configuration involves summing the potentials due to each individual charge.
To find the electric potential energy of each system, consider the potential energy interactions between each pair of different charges. The signs and magnitudes of the charges affect the calculations and comparisons. The work required to switch from one configuration to another involves considering these potential differences and calculating the energy needed to move the charges accordingly.
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