Question

A medium like copper conductor which is characterized by the

parameters σ =5.8 × 107 mho/m, µr =1, εr = 1 supports a uniform plane

wave of frequency 60 Hz. Determine, attenuation constant, propagation

constant, Intrinsic impedance, wavelength and phase velocity of wave​

Answer 1

Answer:

sorry don't know

Explanation:

Answer 2

Answer:

Attenuation constant and Propagation constant of wave is 117.18; Intrinsic impedance of wave is 28.56 x 10⁻⁷ ohm; Phase velocity of wave is 3.21 m/sec.

Explanation:

Given that :

• σ =5.8 × 10⁷ mho/m
• Relative permeability, µr =1
• Relative permittivity, εr = 1
• frequency, f = 60 Hz

Solution :

• The relative permittivity of medium is 1.
• The relative permeability of medium is 1.

$ε(r) = \frac{ε}{ε₀} \\ ε = ε₀ = 8.85 \times {10}^{ - 2} C²N⁻¹m⁻² \\ μ(r) = \frac{μ}{μ₀} \\ μ = μ₀ = 12.56 \times {10}^{ - 7} H/m$

• The attenuation constant and propagation constant for a conducting medium is given by :

$\alpha = \beta = \sqrt{ \frac{wμσ}{2} } \\ = \sqrt{ \frac{2\pi \times 60 \times 12.56 \times {10}^{ - 7} \times 5.8 \times {10}^{7} }{2} } \\ = 117.18$

• Intrinsic impedance of the conductor is

$η= \sqrt{ \frac{wμ}{σ} } \\ = \sqrt{ \frac{2\pi \times 60 \times 12.56 \times {10}^{ - 7} }{5.8 \times {10}^{7} } } \\ = 28.56 \times {10}^{ - 7} ohm$

• Phase velocity of wave is

$v = \frac{w}{ \beta } = \frac{2\pi \times 60}{117.18} \\ = 3.21 \: m/sec$

• Hence, attenuation constant and propagation constant is 117.18; Intrinsic impedance is 28.56 x 10⁻⁷ ohm; phase velocity is 3.21 m/sec.