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Modelling a Low freq Dipole Using exact and approximate formulation

  1. Nov 28, 2012 #1
    1. The problem statement, all variables and given/known data
    consider s dipole with spacing of 2cm between the two sources. it is radiating a 100hz pure tone, and the magnitude of each source 'A' is given by 1n/M^2.
    calculate the pressure as a function of the angle between the reciever and the dipole for a reciever 10 m from the dipole centre, plot graphs of rms vs angle and pressure vs angle using both approximate and exact equations.


    2. Relevant equations
    exact: p(r)=p1(r1) + p2(r2) = A/r1 e^-j(kr1) - A/r2 e^-j(kr2)

    approx: modulus of p(θ,r) ≈ (2AKd *modulus of sin(θ) )/r


    3. The attempt at a solution

    i plotted these in matlab but there was a small difference between the two plots obtained from the formulations which i cant work out, the exact formulation was slightly bigger than the approximate one. can anyone explain to me please?
     
    Last edited by a moderator: Nov 29, 2012
  2. jcsd
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