Capacitor discharge through a coil, need to find current

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Discussion Overview

The discussion revolves around the design of a circuit for discharging a capacitor through a coil to generate a magnetic field. Participants explore the mathematical modeling of current through the coil over time in the context of an RLC circuit, considering the effects of resistance and inductance.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant describes their circuit design involving a charged capacitor in series with an inductor and resistor, seeking an equation for current as a function of time during discharge.
  • The need to account for the inductance of the capacitor itself is mentioned as a factor in the calculations.
  • Another participant references a previous thread and suggests that a specific program could aid in the calculations, asking for details about the program and related files.
  • A participant identifies the program used (LTSPICE IV) and provides a link to specific posts in the referenced thread that contain relevant information about current pulses in an RLC circuit.

Areas of Agreement / Disagreement

Participants appear to agree on the need for a mathematical model to describe the current through the coil, but there is no consensus on the specific equations or methods to be used, as well as the additional factors that may need consideration.

Contextual Notes

Participants have not fully resolved the assumptions regarding the impact of the capacitor's inductance and the specific parameters needed for the circuit design.

Who May Find This Useful

Individuals interested in circuit design, particularly those working with RLC circuits and magnetic field generation, may find this discussion relevant.

nrlightfoot
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I'm designing a circuit to discharge a capacitor though a coil of wire to make a large magnetic field, which is basically an undriven RLC circuit which starts out with a charged capacitor in series with an inductor and a resistor (the coil having a certain resistance in addition to its inductance).

I'm trying to find an equation for the current through the coil (inductor) as a function of time after starting to discharge the capacitor. I need to find this so I can select proper components to give a sufficient magnetic field without burning out the coil.

I also know that the capacitor will have a small amount of inductance which needs to be factored in. Please let me know if there is anything else like that I would need include in the calculation.
 
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Thanks Bob,

That thread was helpful, I think if I had that program you were using I could figure out what I need to know. What's the name of that program, and do you have that RLC circuit file you made that you could send me if I can get the program?

-Nick
 
Hi nrlightfoot-
I was using free LTSPICE IV available on the web. Please look at my posts #26 thru 32 in the referenced thread:
https://www.physicsforums.com/showthread.php?t=327153
Here is a 16,000 amp, 2 ms wide half-wave current pulse using series diode in thumnail.
Bob S
 

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