A 3-phase transmission line operating at 10 kV has a resistance of 1 Ω. The percentage resistance of the line at 10,000 kVA base is -

A 20%

B 10%

C 5%

D 40%

Solution

Correct Answer: Option B

দেওয়া আছে, লাইন ভোল্টেজ, V = 10 kV
বেস পাওয়ার, Sbase = 10,000 kVA = 10 MVA
প্রকৃত রোধ, R = 1 Ω
বেস রোধ (Base Impedance), Zbase = (kV)2 / MVA
Zbase = 102 / 10 = 100 / 10 = 10 Ω
Percentage Resistance, %R = (R / Zbase) × 100%
%R = (1 / 10) × 100% = 10%

শর্টকাট: %R = (kVAbase × R) / (10 × kV2) = (10000 × 1) / (10 × 102) = 10000 / 1000 = 10%।

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