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Finding expression for instantaneous Electric field

  1. Jun 18, 2011 #1
    1. The problem statement, all variables and given/known data
    hi i have been given the following electric field phasor E=(z(5)+x(10))e-jpi(y) mV/m


    2. Relevant equations

    3. The attempt at a solution
    i have been able to deduce from the results above that wave is travelling in positive y direction.

    intrinsic impedance = 2176 ohms from n=sqrt(M/e)
    wave velocity =17x10^6 ms-1 from v=1/sqrt(M*e)
    wavelength =2pi/k=2
    angular frequency=kv=17pi*10^6

    so to find instanteous expression for E it should be of the form:

    E(y,t)=(z(5)+x(10))cos(17pi*10^6*t-pi*y) is this correct ? i am just confused because there are two component is the amplitude. so is this valid?
    and also for the corresponding magnetic field
    H=(x(5/2176)-z(10/2176))e-jpi(y) mA/m

    H(y,t)=(x(5/2176)-z(10/2176))cos(17pi*10^6*t-pi*y) is this an correct expression for the corresponing magnetic field in instantaneous form?
  2. jcsd
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