+2 votes
in Mathematics by kratos

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 %

1 Answer

+5 votes
by kratos
 
Best answer

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%

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