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The propagation constant of a lossy transmission line is (2 + j5) m⁻¹ and its characteristic impedance is (50 + j0) Ω at ω = 10⁶ rad s⁻¹. The values of the line constants L, C, R, G are, respectively.

1. (A) L = 200 μ/m, C = 0.1 μ/m, R = 50 Ω/m, G = 0.02 /m
2. (B) L = 250 μ/m, C = 0.1 μ/m, R = 100 Ω/m, G = 0.04 /m
3. (C) L = 200 μ/m, C = 0.2 μ/m, R = 100 Ω/m, G = 0.02 /m
4. (D) L = 250 μ/m, C = 0.2 μ/m, R = 50 Ω/m, G = 0.04 /m

Correct answer: (B) L = 250 μ/m, C = 0.1 μ/m, R = 100 Ω/m, G = 0.04 /m

Solution

Option B is correct because it accurately reflects the relationships between the propagation constant and the characteristic impedance of the transmission line, where the values of L, C, R, and G satisfy the equations for a lossy transmission line at the given frequency.

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