Long Transmission Line MCQ Quiz in বাংলা - Objective Question with Answer for Long Transmission Line - বিনামূল্যে ডাউনলোড করুন [PDF]
Last updated on Mar 21, 2025
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Long Transmission Line Question 1:
Two overhead Lines ‘P’ and ‘Q’ are connected in parallel to supply a load of 10 MW at 0.8 pf lagging at 30 kV. The resistance and reactance of line ‘P’ are 3 Ω and 4 Ω, respectively and of the Line ‘Q’ are 4 Ω and 3 Ω respectively. The power supplied by the ‘P’ is
Answer (Detailed Solution Below)
Long Transmission Line Question 1 Detailed Solution
Impedance of Line P, ZP = 3 + j4 = 5∠53.13° Ω
Impedance of Line Q, ZQ = 4 + j3 = 5∠36.86° Ω
\({Z_P} + {Z_Q} = 7 + j7 = 7\sqrt 2 \angle 45^\circ {\rm{\Omega }}\)
Total load supplied in kVA
\(S^*= \frac{{10000}}{{0.8}}\angle - 36.86^\circ = 12500\angle - 36.86^\circ\)
Load supplied by Line P
\(\begin{array}{l} {S_P} = S^*\frac{{{Z_Q}}}{{{Z_P} + {Z_Q}}}\\ = 12500\angle - 36.86^\circ \times \frac{{5\angle 36.86^\circ }}{{7\sqrt 2 \angle 45^\circ }}\\ = \frac{{12500 \times 5}}{{7\sqrt 2 }}\angle - 45^\circ \end{array}\)
= 6313.45 kVA at pf 0.708
Power supplied by Line P,
P = 6313.45 × 0.707 = 4.46 MW