Inductance and Charge Redistribution

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SUMMARY

The discussion focuses on the application of Kirchhoff's loop rule in the context of mutual inductance and charge redistribution between two spheres, A and B. Participants clarify that the potential difference across the inductor can be expressed as -L di/dt, where L is the inductance. They derive equations for the charges on the spheres, Q_A(t) and Q_B(t), and discuss the relationship between current i and these charges. The conversation emphasizes the importance of correctly applying the loop law and understanding the dynamics of charge flow in the system.

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  • Understanding of Kirchhoff's loop rule
  • Familiarity with mutual inductance concepts
  • Knowledge of differential equations
  • Basic principles of electric charge and current
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Students and professionals in electrical engineering, physicists studying electromagnetic theory, and anyone interested in the principles of inductance and charge dynamics in circuits.

  • #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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