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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. Distilled water at 25ºC is characterized by σ = 1.7 × 10– 4 mho/m and ε = 78 ε0 at a frequency of 3 GHz, its loss tangent, tan δ is—
    1. 1.3 × 10– 5
    2. 1.3 × 10– 3
    3. 1.7 × 10– 4/ 78 ε = 10– 9/ (36 π) F/m
    4. 1.7 × 10– 4/ 78 ε0
Correct Option: A

Loss tangent is given by

tan φ =
σ
=
1.7 × 10–4
ωσ2π × 3 × 109 × 78 × 8.6 × 10–12

=
1·7 × 10–4 × 36π
= 1.3 × 10–5
2π × 3 × 109 × 10-9 × 78



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