Comparing Series & Parallel Connections of Helmholtz Coils

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Discussion Overview

The discussion focuses on the differences between series and parallel connections of Helmholtz coils, particularly in the context of producing a constant magnetic field and the effects of driving the coils with an oscillator. The scope includes theoretical considerations and practical implications of electrical configurations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the differences in electrical connections of Helmholtz coils in series versus parallel, specifically when they share the same axis.
  • Another participant notes that the differences depend on the circuit to which the coils are connected, comparing them to resistors in a static setup.
  • A follow-up response clarifies that if the coils are driven to produce a constant magnetic field, the magnetic field remains constant as long as the current is constant.
  • It is mentioned that the absolute value of the magnetic field depends on the current, which in turn is influenced by the electrical setup.
  • A participant asks how the situation would change if the coils were driven by an oscillator.
  • In response, it is stated that the magnetic field would oscillate as well if driven by an oscillator.

Areas of Agreement / Disagreement

Participants express varying perspectives on the implications of series versus parallel connections, and the discussion remains unresolved regarding the specific effects of different driving methods on the magnetic field.

Contextual Notes

The discussion does not fully explore the mathematical relationships or assumptions underlying the behavior of the coils in different configurations, nor does it clarify the specific characteristics of the circuits involved.

strokebow
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Hi,

With the condition that 2 helmholtz coils are parallel with each other sharing the same axis in space . . .

What are the differences between electrically connecting up the coils in series and in parallel?

cheers
 
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That depends on the circuit you connect them to. In a static setup, they are like resistors.
 
Thanks for your response.

In the case that they are being driven to produce a constant magnetic field between them.
 
The magnetic field is always constant if the current in coils is constant. And its second derivative vanishes if the coils are identical and have the same current inside.

The absolute value of the magnetic field there depends on that current, and that depends on the electric setup.
 
Thanks very much.

How would things differ if they were driven by an oscillator?
 
The magnetic field would oscillate as well.
 

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