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Finding H field from E field

  1. Sep 3, 2015 #1
    1. The problem statement, all variables and given/known data

    E (Vector) = 18.85*cos(omega*t - 15*z) a_x (unit vector)
    Find H(vector) field


    2. Relevant equations

    I tried ∇ X H = -dD/dt, in which I take the derivative of E(vector). How do I pull H from the curl?


    3. The attempt at a solution

    I took the derivative of -dD/dt, and came up with ∇ X H . I used the matrix to find the partial derivative of H, but I do not know how to find H from the partial derivative. Also, I do not know how to find the direction of H.

    Can you please help?
     
  2. jcsd
  3. Sep 3, 2015 #2

    blue_leaf77

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    Try another equation from the Maxwell's equations which enables you to calculate H easily from E.
     
  4. Sep 5, 2015 #3

    rude man

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    The way to arrive at H is indeed to employ the other major Maxwell equation. But the math is a bit extensive. In your course work you probably derived, or saw derived, the simple relation between the H and E fields of a plane wave.
     
  5. Nov 12, 2015 #4
    Curl of E equals to derivative of H multipled by -permeability. So, take the curl of E, divide to -permeability, then take the integral of that , you have H now.
     
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