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Electricity and Magnetism - Department of Physics & Astronomy

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where k = ω c B ω = ∇ × A ω , <strong>and</strong> E ω = i k ∇ × B ω .There are three length scales to consider:1. d : size <strong>of</strong> the region where J ω ( x ′) ≠ 0.2. λ : = 2π / k = 2πc / ω .3. r : distance <strong>of</strong> the observation point from the current.Derive the following electric dipole radiation field expressions justifyingeach approximation with relevant conditions e.g. (length scale) 1

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