Inductance and Charge Redistribution

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Homework Help Overview

The discussion revolves around the concepts of inductance and charge redistribution between two spheres in an electrical circuit. Participants are exploring the implications of Kirchhoff's loop rule and potential differences in the context of mutual inductance and charge dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the application of Kirchhoff's loop rule in a scenario that may not involve a closed loop. They are discussing the relationship between current and charge on the spheres, as well as potential differences across the inductor.

Discussion Status

There is ongoing exploration of how to relate the charges on the spheres to the current flowing through the inductor. Some participants are suggesting ways to express the potential difference and are considering how to eliminate variables in their equations. The discussion is productive, with various interpretations being explored.

Contextual Notes

Participants note that the problem may involve assumptions about constant current and the initial conditions of the charges on the spheres. There is also a mention of the potential confusion between mutual inductance and self-capacitance in the context of the problem.

  • #61
Additional comment: it is an interesting probem because it makes concrete the nexus between 'potential' of physics and 'voltage' of electrical engineering.
 
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  • #62
rude man said:
Additional comment: it is an interesting probem because it makes concrete the nexus between 'potential' of physics and 'voltage' of electrical engineering.

Yeah, there are a few different ways you could think about it. Either a closed loop to infinity and back, in which case you can treat the potential as the potential difference between the sphere and infinity: ##\frac{kQ_A}{r} - L\frac{di}{dt} - \frac{kQ_B}{r}##. Or you could think about it in the sense of two potentials ##\frac{kQ_A}{r}## and ##\frac{kQ_B}{r}## and a potential difference between them...

Can blur the lines a little but but usually the distinction is that to discuss potential we have a fixed reference, so it means being extra careful when discussing the potential relative to another arbitrary point (really differences) as opposed to a potential relative to the fixed reference.
 
  • #63
Guys I have a lot of these kinda problems just follow me and stay tuned so that we have more of these discussions.

The most recent one i have put up goes by the title- 'Hard Momentum Conservation'
See u there:)
 
  • #64
Ayesha02 said:
See u there:)

Sorry, I had to:

 
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  • #65
Ayesha02 said:
Guys I have a lot of these kinda problems just follow me and stay tuned so that we have more of these discussions.

The most recent one i have put up goes by the title- 'Hard Momentum Conservation'
See u there:)

@etotheipi I need u there my man:)
 
  • #66
etotheipi said:
Sorry, I had to:

:smile: :smile:

We badly need some humor on this site. We all love physics but we need to take even it a bit more lightly now and then. Thank you! (Of course this song always reminds me of 'Dr. Strangelove' too.)
 
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  • #67
Ayesha02 said:
Guys I have a lot of these kinda problems just follow me and stay tuned so that we have more of these discussions.

The most recent one i have put up goes by the title- 'Hard Momentum Conservation'
See u there:)
We helpers love to help! Really! Forces us to review also, often; so in a sense you're a helper too! And all of us love physics all the time!
 
  • #68
rude man said:
:smile: :smile:

We badly need some humor on this site. We all love physics but we need to take even it a bit more lightly now and then. Thank you! (Of course this song always reminds me of 'Dr. Strangelove' too.)

Especially now that cabin fever has fully set in :wink:
 

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