An extra high voltage transmission line of length 300 km can be approximated by a lossless line having propagation constant β = 0.00127 radians per km. Then the percentage ratio of line length to wavelength will be given by
(A) 24.24 %
(B) 12.12 %
(C) 19.05 %
(D) 6.06 %
Correct option (D) 6.06 %
Explanation:
l = 300 km,
β = 0.00127 rad/km
Wavelength is given by,
λ = 2π/β = 2π/0.00127 = 4947.39Km
% Ratio = l/λ x 100%
% Ratio = 300/4947.39 x 100% = 6.06%