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  1. If the sheath resistance is 2.14 Ω/km and that of the conduct or is 0.1625 Ω/k m, and mutual inductance of the shealth is 3.13 × 10–7 H/m. When the cable is 2 km long and supply is 50 Hz, the ratio of sheath loss to core loss of the cable will be_______
    1. 277
    2. 0.277
    3. 0.0277
    4. 27.7
Correct Option: C

Sheath loss
=
Rs..M²ω²
Core lossR(R²s + M²ω²)

Here, Rs = 2 × 214
ω = 2πƒ = 2 × 3.14 × 50 = 314
M = 2 × 3.13 × 10–7 × 10³
R = 2 × 0.1625 = 0.3250Ω
Sheath loss
=
(2 × 2.14) × (2 × 3.13 × 10-4)² × 314²
Core loss2 × 0.1625[(2 × 2.14)² + 314² × 6.26 × 10-8]

= 0.0277.



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