Integration Problem: Solving Compact Results in Electrodynamics

  • Thread starter Psi-String
  • Start date
  • Tags
    Integration
In summary, the conversation is about solving a specific integration, with a given equation and constants, mentioned in the context of electrodynamics and referenced to two textbooks. The speaker is seeking help and clarification on how to solve the integration in a more compact way.
  • #1
Psi-String
79
0
Hi! Could someone give me an idea how the following integration be carried out??

[tex] \int \frac{r dr}{ \left( r^2 + a^2 - 2rau \right)^{3/2}} = \frac{ru - a}{a(1-u^2)\sqrt{r^2 + a^2 - 2rau}} [/tex]

where u and a are constant.

I have encounter such integration several times in electrodynamics.

I can solve it in lengthy way, but can't carry out such compact result as above. Could someone help me?? Thanks a lot!
 
Physics news on Phys.org
  • #2
Look up Sadikus textbook. Or David Griffiths. You'll find a good result there.
 
  • #3
well, this is an integration I need to carry out when solving Griffiths' problem. The solution manual only give the result as above, it didn't take out step by step, and I don't think it is that obvious that we can solve it just by one equation XDDDD
 

Related to Integration Problem: Solving Compact Results in Electrodynamics

1. What is the importance of solving compact results in electrodynamics?

The compact results in electrodynamics, also known as the compact equations, are a set of simplified equations that describe the behavior of electromagnetic fields. These equations are crucial for understanding and predicting the behavior of electric and magnetic fields in various systems, such as circuits and antennas.

2. What is the process of solving compact results in electrodynamics?

The process of solving compact results in electrodynamics involves using mathematical techniques, such as vector calculus and differential equations, to manipulate the equations and find solutions for specific scenarios. This often involves simplifying the equations, applying boundary conditions, and solving for the unknown variables.

3. What are some common applications of compact results in electrodynamics?

The compact equations are used in a wide range of applications, including designing and analyzing electronic circuits and devices, understanding the behavior of electromagnetic waves in communication systems, and predicting the behavior of antennas and radar systems.

4. What are the challenges of solving compact results in electrodynamics?

One of the main challenges of solving compact results in electrodynamics is the complexity of the equations and the need for advanced mathematical skills. Another challenge is the need to carefully consider and apply boundary conditions, which can significantly affect the solutions.

5. What are some resources for learning how to solve compact results in electrodynamics?

There are many resources available for learning how to solve compact results in electrodynamics, including textbooks, online courses, and tutorials. It is also helpful to have a strong foundation in vector calculus, differential equations, and electromagnetics. Additionally, working with a mentor or joining a study group can provide valuable support and guidance.

Similar threads

Integral Calculation: Compute l/sqrt(x2+l2)
    • Calculus and Beyond Homework Help
Replies
5
Views
849
Integrals that keep me up at night
    • Calculus and Beyond Homework Help
Replies
22
Views
1K
Symmetry of an Integral of a Dot product
    • Calculus and Beyond Homework Help
Replies
9
Views
1K
Integrating by Partial Fractions
    • Calculus and Beyond Homework Help
Replies
16
Views
2K
Find the value of the definite integral
    • Calculus and Beyond Homework Help
Replies
8
Views
822
Solve integral by finding Fourier series of complex function
    • Calculus and Beyond Homework Help
Replies
3
Views
462
Integration problem using inscribed rectangles
    • Calculus and Beyond Homework Help
Replies
14
Views
489
Problem in integrating to find Rutherford's formula
    • Calculus and Beyond Homework Help
Replies
2
Views
266
Electromagnetism: Force on a parabolic wire in uniform magnetic field
    • Calculus and Beyond Homework Help
Replies
20
Views
588
Help computing the following integral
    • Calculus and Beyond Homework Help
Replies
21
Views
1K

Hot Threads

Recent Insights

Back
Top