Recent content by ElectricKitchen

  1. ElectricKitchen

    Electric & Magnetic Fields Out of Phase: Why?

    Is there an analytical solution to show that E and M fields in a perfect conductor are out of phase by 45 degrees? (I can handle the calculus.)
  2. ElectricKitchen

    Phase of Time Varying E-M Fields

    Thanks. I must have missed it.
  3. ElectricKitchen

    Phase of Time Varying E-M Fields

    Are the E and M components of an E-M wave (at a given frequency) necessarily in phase in free space? A conductor? A dielectric material?
  4. ElectricKitchen

    Fundamental Relationship Between Time and Space Derivatives

    Your in sight is something I had not thought of and I'll give it some more thought. I appreciate your time and effect in engaging me on this. I feel that, when studying some phenomenon, I sometimes get lost in the math solving problems and miss some greater truth. Thanks again.
  5. ElectricKitchen

    Fundamental Relationship Between Time and Space Derivatives

    I am asking something slightly different. To illustrate, I'll use the one-dimensional wave equation, say, for a vibrating string. . where y is the displacement (a function of both x and t), t is time, and x is the independent space variable. This equation says is that the acceleration of the...
  6. ElectricKitchen

    Fundamental Relationship Between Time and Space Derivatives

    I'm interested in the latter question. I do understand the mathematics (calculus) for finding solutions. Many physical phenomena have the property that time variation is proportional to spatial variations such as its gradient, divergence, curl, or Laplacian. I'm wondering whether there is any...
  7. ElectricKitchen

    Fundamental Relationship Between Time and Space Derivatives

    Many physical laws involve relationships between time derivatives to space derivatives of one or more quantities. For example, thermal conduction relates the thermal energy time rate of change [dQ/dt] to temperature space rate of change [dT/dx]. In fluid flow, the Navier-Stokes Theorem relates...
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