Field of a Charged Ball - Revision history

MainaJesse: /* Connectedness */

2026-04-27T01:36:32Z

Connectedness

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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: *[https://plasma.physics.ucla.edu/~~Gauss%27s_Flux_Theorem]~~		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: https://plasma.physics.ucla.edu/

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:36:19Z

Connectedness

← Older revision		Revision as of 21:36, 26 April 2026
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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/Gauss%27s_Flux_Theorem]		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: *[https://plasma.physics.ucla.edu/Gauss%27s_Flux_Theorem]

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:36:09Z

Connectedness

← Older revision		Revision as of 21:36, 26 April 2026
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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/]		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/Gauss%27s_Flux_Theorem]

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:34:59Z

Connectedness

← Older revision		Revision as of 21:34, 26 April 2026
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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/~~UCLA~~]		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/]

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:34:40Z

Connectedness

← Older revision		Revision as of 21:34, 26 April 2026
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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/]		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/UCLA]

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:34:13Z

Connectedness

← Older revision		Revision as of 21:34, 26 April 2026
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	Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.		Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

	Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: *[https://plasma.physics.ucla.edu/]		Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: [https://plasma.physics.ucla.edu/]

	==History==		==History==

MainaJesse: /* Connectedness */

2026-04-27T01:33:46Z

Connectedness

← Older revision		Revision as of 21:33, 26 April 2026
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	It may be useful to discuss real-life applications of a charged solid sphere.		It may be useful to discuss real-life applications of a charged solid sphere.

	~~Two examples stem from~~ the structure of an atom~~. The~~ nucleus ~~of an atom~~ is ~~packed~~ very ~~tightly~~ so that ~~we can consider~~ the charge ~~to be uniformly distributed. The electron cloud also~~ can be ~~viewed~~ as a ~~packed spherical region of~~ charged.		The foremost and probably most valuable example is to look at the structure of an atomic nucleus. An atom's nucleus is ''very'' dense, so much so that the positive charge can be treated as a '''uniformly charged sphere.'''

	~~Of course the radii~~ of these structures are ~~very~~ small; radii ~~are~~ about <math>10e-15</math> m and <math>10e-10</math> ~~m for nuclei~~ and ~~electron clouds respectively!~~		The surrounding electron cloud can also be approximated as a roughly spherical region of negative charge, though not perfectly uniform. Keep in mind that these structures are quite small, with the nuclear radii being about <math>10e-15</math> m and the electron cloud extending to about <math>10e-10</math>. Maybe a microscope could help?

			Other real systems also behave like charged Spheres. For instances, charged droplets (such as tiny water droplets or dust particles in a thunderstorm) are nearly perfect spheres dues to surface tension, and their electric fields follow the same principles as a uniformly charged ball. The same could be applied to an electrolyte drink, though one might consider what such a beverage is doing in the middle of a thunderstorm.

			Another example would be spherical plasmas created in laboratories, which hold charge throughout their volume. You may find an example experiment in the following link: *[https://plasma.physics.ucla.edu/]

	==History==		==History==

MainaJesse: /* History */

2026-04-27T01:21:09Z

History

← Older revision		Revision as of 21:21, 26 April 2026
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	In 1785, physicist '''Charles‑Augustin de Coulomb''' performed the first precise measurements of electrical forces using a torsion balance (seen in Figure 4). His experiments established the inverse‑square law, which all later electric‑field theory depends on.		In 1785, physicist '''Charles‑Augustin de Coulomb''' performed the first precise measurements of electrical forces using a torsion balance (seen in Figure 4). His experiments established the inverse‑square law, which all later electric‑field theory depends on.

	There were, of course, earlier thinkers such as '''Thales''' (c. 600 BC) and '''Benjamin Franklin''' (d. 1790) who noticed electrical attraction, but Coulomb’s work is what transformed those scattered observations into quantitative physics.		There were, of course, earlier thinkers such as '''Thales''' (c. 600 BC)[https://www.aps.org/apsnews/2016/06/coulomb-measures-electric-force] and '''Benjamin Franklin''' (d. 1790)[https://www.aps.org/apsnews/2016/06/coulomb-measures-electric-force] who noticed electrical attraction, but Coulomb’s work is what transformed those scattered observations into quantitative physics.

	Now, over the next several decades, the modern idea of an electric field took shape. Physicists began to understand that a '''charged object''' affects the space around it, creating a region in which any other charge will experience a force... which is what we now call the electric field.		Now, over the next several decades, the modern idea of an electric field took shape. Physicists began to understand that a '''charged object''' affects the space around it, creating a region in which any other charge will experience a force... which is what we now call the electric field.

MainaJesse: /* References */

2026-04-27T01:20:17Z

References

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	*https://www.physicsforums.com/threads/calculate-the-polarizability-a-lpha-of-atomic-hydrogen-in-terms-of-r.339994/		*https://www.physicsforums.com/threads/calculate-the-polarizability-a-lpha-of-atomic-hydrogen-in-terms-of-r.339994/

			*https://www.aps.org/apsnews/2016/06/coulomb-measures-electric-force

			*https://www.britannica.com/science/electromagnetism/Coulombs-law

			*https://openstax.org/books/college-physics-2e/pages/18-5-electric-field-lines-multiple-charges

	*Matter and Interactions, 4th Edition: 1-2		*Matter and Interactions, 4th Edition: 1-2

MainaJesse: /* History */

2026-04-27T01:18:45Z

History

← Older revision		Revision as of 21:18, 26 April 2026
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	==History==		==History==
	[[File:torsion_balance_image.png\|200px\|~~right~~\|thumb\|Figure 4: A torsion balance. Pretty cool, right?]]		[[File:torsion_balance_image.png\|200px\|left\|thumb\|Figure 4: A torsion balance. Pretty cool, right?]]
	To understand the “history” of the Electric Field of a Charged Ball is really to understand the broader history of the electric field itself.		To understand the “history” of the Electric Field of a Charged Ball is really to understand the broader history of the electric field itself.