How Do You Calculate Self-Inductance of a Resistor in an A.C. Circuit?

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Homework Help Overview

The discussion revolves around calculating the self-inductance of a resistor within a series A.C. resistive-capacitive circuit, with specific values provided for supply voltage, R voltage, C voltage, and current.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster seeks guidance on calculating self-inductance, questioning how it applies to their specific circuit setup. Some participants discuss the nature of a resistor's self-inductance and its dependency on various factors, including type and frequency. Others inquire about the frequency range and the relevance of wire self-inductance.

Discussion Status

The discussion is ongoing, with participants providing insights into the properties of resistors and their self-inductance. Some guidance has been offered regarding typical values and factors influencing self-inductance, though no consensus has been reached on a specific calculation method.

Contextual Notes

The original poster has limited information about the resistor aside from its resistance and is not considering the self-inductance of connecting wires. The frequency range of interest is specified as 1-10 kHz.

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does anybody know how to calculate the self-inductance of a resistor in a series A.C resistive capacitive circuit?
(have values for supply voltage, R voltage, C voltage, current)
any help at all would be much appreciated
 
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A resistor's self-inductance is a property of the resistor itself, dependent on its type (e.g., wire-wound, etc.), shape, size, etc. Usually a resistor's self-inductance is very small and only significant at very high frequencies. What AC frequencies are you considering?? If at very high frequencies, are you also considering the self-inductance of the connecting wires between components?? What is your intended application?? What are your resistor's specifications (type, physical characteristics, etc.)??


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the frequency range I am using is 1-10kHz, I am not considering the self inductance of the wires, i only need the value for a later part of my investigation (to take into account when evaluating in inductive circuit) although the only the only information i have on the resistor is it's actual resistance.
 
The self-inductance of a "Wire-Wound Resistor" (usually used for precision purposes) is probably in the neighborhood of 1 μH (1 x 10(-6) Henry). The self-inductance of other resistor types can probably be estimated with that due to a straight wire having the length=("S" in cm) and radius=("R" in cm) of the resistor (plus leads) and given by:
L {in μH = 10(-6) H} = (0.002)*S*{Loge(2*S/R) - (3/4)}
which is presented in Eq #3 of the following reference:
http://www.wireductsales.com/knowledge/docs/noise_appnote.htm


~~
 
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Thanks for your help, much appreciated
 

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