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In physics, center of charge is the unique point within a system of charged particles where the weighted relative position of the spatially distributed electric charge sums to zero. This concept is analogous to the center of mass in mechanics, where the mass of a system may be assumed to be concentrated at a single point. Computations in electromagnetism, electrostatics, and particle physics are often simplified when formulated with respect to the center of charge behavior of electric fields and the interactions between charged particles.
In a system of discrete charged particles, each particle exerts an electric force on every other particle. The center of charge is the spatial point where the total electric force acting on the system can be assumed to originate. Mathematically, it is defined as the weighted average of the positions of the individual charges, where each position is weighted by its magnitude.
For a continuous charge distribution, the center of charge is computed with integrals, similar to the calculation of the center of mass for continuous mass distributions.
For a system of discrete charged particles Qi, i = 1, ..., n , each with charge qi that are located in space with coordinates ri, i = 1, ..., n , the coordinates R of the center of charge satisfies the condition
Solving this equation for R yields the formula
If the charge distribution is continuous with the volume charge density ρ(r) within a solid S, then the integral of the weighted position coordinates of the points in this volume relative to the center of charge R over the volume V is zero, that is
Solve this equation for the coordinates R to obtain where Q is the total charge in the volume.
If a continuous charge distribution has uniform charge density, which means that ρ is constant, then the center of charge is the same as the centroid of the volume. [1] [2]
Submission declined on 25 March 2024 by
DMacks (
talk). This draft's references do not show that the subject
qualifies for a Wikipedia article. In summary, the draft needs multiple published sources that are:
This submission is not adequately supported by
reliable sources. Reliable sources are required so that information can be
verified. If you need help with referencing, please see
Referencing for beginners and
Citing sources.
Where to get help
How to improve a draft
You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article. Improving your odds of a speedy review To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags. Editor resources
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In physics, center of charge is the unique point within a system of charged particles where the weighted relative position of the spatially distributed electric charge sums to zero. This concept is analogous to the center of mass in mechanics, where the mass of a system may be assumed to be concentrated at a single point. Computations in electromagnetism, electrostatics, and particle physics are often simplified when formulated with respect to the center of charge behavior of electric fields and the interactions between charged particles.
In a system of discrete charged particles, each particle exerts an electric force on every other particle. The center of charge is the spatial point where the total electric force acting on the system can be assumed to originate. Mathematically, it is defined as the weighted average of the positions of the individual charges, where each position is weighted by its magnitude.
For a continuous charge distribution, the center of charge is computed with integrals, similar to the calculation of the center of mass for continuous mass distributions.
For a system of discrete charged particles Qi, i = 1, ..., n , each with charge qi that are located in space with coordinates ri, i = 1, ..., n , the coordinates R of the center of charge satisfies the condition
Solving this equation for R yields the formula
If the charge distribution is continuous with the volume charge density ρ(r) within a solid S, then the integral of the weighted position coordinates of the points in this volume relative to the center of charge R over the volume V is zero, that is
Solve this equation for the coordinates R to obtain where Q is the total charge in the volume.
If a continuous charge distribution has uniform charge density, which means that ρ is constant, then the center of charge is the same as the centroid of the volume. [1] [2]
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