Charge Sphere Radiation & E Field: Griffiths Explained

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Discussion Overview

The discussion revolves around the behavior of the electric field and radiation of a charged sphere, particularly in the context of Griffiths' explanations. Participants explore the implications of the sphere's symmetry and pulsation on its electric field and radiation characteristics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions Griffiths' assertion that a pulsing charged sphere would not radiate, suggesting that accelerating charges typically radiate.
  • Another participant argues that if the sphere remains spherically symmetric, the electric field outside remains unchanged, leading to a uniform flux density of zero, implying no radiation.
  • A further clarification notes that while total flux can be zero, this does not mean that the flux is zero everywhere, particularly in cases of non-uniform flux density associated with dipole pulsation or accelerating charges.

Areas of Agreement / Disagreement

Participants express differing views on the implications of symmetry and pulsation for radiation, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

Participants highlight the importance of understanding the distinction between total flux being zero and the implications for flux density, which may vary across different regions of the sphere.

cragar
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In Griffiths he talks about a charged sphere and that if it pulsed in an out i would not radiate.
He says if you draw a Gaussian surface around it the E field doesn't change, as long as you are outside of it. But wouldn't the charges accelerate and you would think they would radiate. But maybe the field cancels in a way as to prevent this.
 
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hi cragar! :smile:

if the sphere is always spherically symmetric, then so must its field be …

so if you draw a big sphere round it, the flux density across it must be uniform (at any time) …

since the total flux (at any time) must be zero (Gauss' Law), that means the uniform flux density (at any time) must be zero, ie no flux :wink:

if, alternatively, the sphere has a dipole pulsation, then again the total flux will be zero, but now the flux density will be non-uniform, so there can (and will) be a flux

(same for an accelerating charge … total flux zero, flux density non-uniform and non-zero)​
 
tiny-tim said:
if, alternatively, the sphere has a dipole pulsation, then again the total flux will be zero, but now the flux density will be non-uniform, so there can (and will) be a flux​


...inwards at some locations on the sphere and outwards at other locations.

(Just to expand your statement a bit. I know from experience that some students need to be reminded that "total flux = 0" is not the same thing as "flux = 0 everywhere".)​
 
ok thanks for your answers
 

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