Magnetostatic Problems: Calculating Inductance and Loop Internal Inductance

In summary, the conversation discusses various problems related to magnetostatics, including calculating the self-inductance of a coaxial cable, finding the inductance and separation distance for two parallel copper wires, and determining the internal inductance of a circular loop. The answers to these problems involve using equations and formulas related to inductance, such as u0L/8pie and L = L(in) + L(ext). The conversation also mentions an issue with using LaTeX code, which is currently not functional due to server changes.
  • #1
kelvintc
38
0
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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  • #2
cannot use Latex code anymore?
 
  • #3
Apparently they changed servers and LaTeX broke but they're working on fixing it.
 
  • #4
anyone can help me on these magnetostatic problems? I'm stucked ..
 

1. What are magnetostatic problems?

Magnetostatic problems refer to the study of magnetic fields and their effects on stationary or slowly moving electric charges and currents. This includes the behavior of permanent magnets, electromagnets, and magnetic materials.

2. What are some common applications of magnetostatic problems?

Magnetostatic problems have many practical applications, such as in motors, generators, transformers, and magnetic storage devices. They are also used in medical imaging, particle accelerators, and magnetic levitation systems.

3. How are magnetostatic problems different from electromagnetic problems?

The main difference between magnetostatic and electromagnetic problems is the time factor. Magnetostatics deals with the behavior of magnetic fields in situations where there is no change in time, while electromagnetic problems involve the time-varying behavior of electric and magnetic fields.

4. What are some common methods used to solve magnetostatic problems?

There are several methods used to solve magnetostatic problems, such as the finite element method, boundary element method, and the method of moments. These methods involve using numerical techniques to solve complex equations and determine the behavior of magnetic fields in different scenarios.

5. What are some challenges in solving magnetostatic problems?

One of the main challenges in solving magnetostatic problems is dealing with nonlinear materials, which can cause nonlinear effects in magnetic fields. Additionally, accurately modeling and simulating complex geometries and boundary conditions can also be a challenge in solving magnetostatic problems.

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