Q1. Assume a finite thin linear antenna with length l is positioned along the z-axis symmetrically. The current distribution is described as follows Iz (z') = 10(2+1). (10(2-12). ≤ z < 0, 0 ≤z'≤ a) Find the Vector Potential A in the Far-Field Region. (Explain each step!) b) Compute the spherical E and B fields in the Far-Field Region. (Explain each step!) (Hint: (1) Use far-field approximation in radial distances. (2) After finding A₂ component, use A₁ = âe (sin 0 Az), A4 = 0 to transform into spherical forms. (3) Then, use curl in spherical coordinates for part b).)
Q1. Assume a finite thin linear antenna with length l is positioned along the z-axis symmetrically. The current distribution is described as follows Iz (z') = 10(2+1). (10(2-12). ≤ z < 0, 0 ≤z'≤ a) Find the Vector Potential A in the Far-Field Region. (Explain each step!) b) Compute the spherical E and B fields in the Far-Field Region. (Explain each step!) (Hint: (1) Use far-field approximation in radial distances. (2) After finding A₂ component, use A₁ = âe (sin 0 Az), A4 = 0 to transform into spherical forms. (3) Then, use curl in spherical coordinates for part b).)
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
Transcribed Image Text:Q1. Assume a finite thin linear antenna with length l is positioned along the z-axis symmetrically. The current
distribution is described as follows
Iz (z') =
10(2+1).
(10(2-12).
≤ z < 0,
0 ≤z'≤
a) Find the Vector Potential A in the Far-Field Region. (Explain each step!)
b) Compute the spherical E and B fields in the Far-Field Region. (Explain each step!)
(Hint: (1) Use far-field approximation in radial distances. (2) After finding A₂ component, use A₁ =
âe (sin 0 Az), A4 = 0 to transform into spherical forms. (3) Then, use curl in spherical coordinates for part b).)
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