Comparing self inductance of three solenoids

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Homework Help Overview

The discussion revolves around comparing the self-inductance of three solenoids with varying winding configurations. Participants explore how the geometry and winding direction of the solenoids affect their inductance, particularly in the context of superconducting wires.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the implications of winding direction on inductance, questioning how different configurations (e.g., alternating winding directions) affect the overall inductance. There is also inquiry into the role of superconducting materials and resistance in the inductance of solenoids.

Discussion Status

The discussion is active, with various interpretations of the problem being explored. Some participants express confusion over the implications of winding direction and the definitions of inductance, while others seek clarification on how resistance factors into the inductance of the solenoids.

Contextual Notes

Participants note that the problem statement lacks clarity, particularly regarding the specifics of winding direction and the implications of using superconducting wire. There is an acknowledgment that the question may lead to confusion due to its wording.

  • #31
@cnh1995 When split into composite parts, ## L_2 ## can be composed of self inductances and mutual inductance, but in the final tally, the inductance of ## L_2 ## includes the mutual inductance of the component parts. ## L_2=0 ## with your computation.
 
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  • #32
Charles Link said:
but in the final tally, the inductance of L2L2 L_2 includes the mutual inductance of the component parts. L2=0L2=0 L_2=0 with your computation.
Yes, that's why in #27, I said the "effective inductance" is zero (self minus mutual). But in the problem statement, it is mentioned that L2 is the "self" inductance of the coil, which is not zero.
 
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  • #33
cnh1995 said:
Yes, that's why in #27, I said the "effective inductance" is zero (self minus mutual). But in the problem statement, it is mentioned that L2 is the "self" inductance of the coil, which is not zero.
In that case, in the statement of the problem, the first time they mentioned ## L_2 ## they called it the "inductance of the coil", and the second time they called it the "self-inductance of the coil". This one is really splitting hairs with the use of the terms, when they themselves were rather careless in the use of the terms. I think they need to be much more clear in the statement of the problem.
 
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  • #34
Thanks all for your precious inputs .
 
  • #35
Charles Link said:
In that case, in the statement of the problem, the first time they mentioned ## L_2 ## they called it the "inductance of the coil", and the second time they called it the "self-inductance of the coil". This one is really splitting hairs with the use of the terms, when they themselves were rather careless in the use of the terms. I think they need to be much more clear in the statement of the problem.
I agree. That's where I tripped at first.
 

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