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The electric field intensity of a linearly polarized uniform plane wave propagating in the +z direction in sea water is E = ax cos (1Q7πt) V/m at z = 0. The constitutive parameters of sea water are ∈r, = 72, μr = 1 & σ ~ 4 S/m
Q. 
Phase velocity & skin depth are
  • a)
    3.53 x 104 m/s, 0.121 m
  • b)
    2.53 x 104 m/s, 0.121 m
  • c)
    3.53 x 106 m/s, 0.112 m
  • d)
    2.53 x 106 m/s, 0.112 m
Correct answer is option 'C'. Can you explain this answer?
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Given Parameters:
- Electric field intensity E = axcos(1Q7t) V/m
- Sea water parameters: r = 72, r = 4 S/m
- Phase velocity: 3.53 x 10^6 m/s
- Skin depth: 0.112m

Explanation:

Phase Velocity Calculation:
- Phase velocity (v_p) of the wave in sea water is given by v_p = 1 / sqrt(r*r)
- Substituting the values, v_p = 1 / sqrt(72*4) = 1 / sqrt(288) = 1 / 16.97 ≈ 3.53 x 10^6 m/s

Skin Depth Calculation:
- Skin depth (δ) in sea water is given by δ = 1 / (sqrt(πfμσ))
- Substituting the values, δ = 1 / (sqrt(π * 1Q7 * 4)) ≈ 0.112m
Therefore, the phase velocity of the wave in sea water is approximately 3.53 x 10^6 m/s and the skin depth is approximately 0.112m. Based on these calculations, the correct answer is option 'C' - 3.53 x 10^6 m/s, 0.112m.
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The electric field intensity of a linearly polarized uniform plane wave propagating in the +z direction in sea water is E = axcos (1Q7πt) V/m at z = 0. The constitutive parameters of sea water are ∈r, = 72, μr = 1 & σ ~ 4 S/mQ.Phase velocity & skin depth area)3.53 x 104 m/s, 0.121 mb)2.53 x 104 m/s, 0.121 mc)3.53 x 106 m/s, 0.112md)2.53 x 106 m/s, 0.112mCorrect answer is option 'C'. Can you explain this answer?
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