Magnetostatic Problems: Calculating Inductance and Loop Internal Inductance

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Homework Help Overview

The discussion revolves around calculating inductance in magnetostatic problems, specifically involving coaxial cables, parallel wires, and circular loops. The original poster presents multiple scenarios requiring the determination of self-inductance and internal inductance, with specific parameters provided for each case.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate inductance values but expresses confusion regarding the results, particularly for the coaxial cable problem where they obtain a different result. They also seek clarification on the inductance of parallel wires and the internal inductance of a circular loop.

Discussion Status

Some participants have noted issues with LaTeX formatting, which may hinder the clarity of mathematical expressions. The original poster is actively seeking assistance, indicating a collaborative effort to understand the problems better.

Contextual Notes

The original poster mentions specific answers provided for the problems, but they express uncertainty about their own calculations and the methodology behind them. There is a lack of consensus on the correct approach to these problems, and participants are exploring different interpretations and solutions.

kelvintc
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1) Calculate the self-inductance of a coaxial cable of inner radius a and outer radius b. The inner conductor is made of an inhomogenous material having u = 2u0/(1+r)
Answer : u0L/8pie + u0L/pie (ln(b/a) - ln((1+b)/(1+a)))

2) Two #10 copper wires(2.588 mm in diameter) are placed parallel in air with a separation distance d between them. If the inductance of each wire is 1.2uH/m, calculate
(a) L(in) and L(ext) per meter for each wire
(b) The separation d
Answer : (a)0.05, 1.15 uH/m, (b) 40.79cm

3) A conductor of radius a is bent into a circular loop of mean radius r. If r = 10cm and 2a = 1cm, calculate the internal inductance of the loop.
Answer : 31.42nH

Really can't the number 1 answer. I get a^3 in my answer. Number 2 no idea since L = L(in) + L(ext). As well as number 3.



Thank you.
 

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cannot use Latex code anymore?
 
Apparently they changed servers and LaTeX broke but they're working on fixing it.
 
anyone can help me on these magnetostatic problems? I'm stucked ..
 

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