Recent content by jjmontero9

  1. J

    Graduate From integral equation to normal equation

    This can be done using the http://en.wikipedia.org/wiki/Laplace_transform" , which is really useful for solving differential equations. First you apply the direct transformation to [0], then solve for y and then apply the inverse laplace transform to find an equation like [4]. An example on...
  2. J

    What are the uses and limitations of transmission lines?

    Electromagnetic waves can also be transmitted using http://en.wikipedia.org/wiki/Waveguide_(electromagnetism)" , for example. They are not strictly propagated through cables: the RF waves are emitted through the air and can be reflexed and guided with many other elements. The frequency is...
  3. J

    New to Physics Forums? Struggling with Laplace?

    Hi ! Without using the table means that you need to apply the integral definition. The Laplace Transform of any function is calculated by integrating this way: \mathcal{L} \left\{ f(t) \right\} = \int_{0}^{+\infty}{f(t)\cdot{}e^{-s\cdot{}t}dt} Where f(t) is the original function. And...
  4. J

    Graduate Can you explain me how these equations were obtained?

    Those equations are obtained by applying the "[URL identity[/URL] of the complex numbers: \ln{(-2)} = \ln{(2\cdot{}e^{(2k+1)\pi{}i})} = \ln{(2)} + \ln{(e^{(2k+1)\pi{}i})} = \ln{(2)} + (2k+1)\pi{}i Where k = 0, 1, 2, ... The second one is: \ln{(16)} =...