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A three phase line has conductor of 5 mm diameter placed at the corner of an equilateral triangle of 1.5 m side. The capacitive reactance to netural per phase per km will be
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- 1.25 × 106 Ω/km
- 8.68 × 105 Ω/km
- 4.25 mΩ/km
- 3.66 × 105 Ω/km
Correct Option: D
Here, d = 5 mm, r = 2.5 mm = 2.5 × 10-3m, D = 1.5 m
∴ Deq = (DAB. DBC. DCA)1/3
= (1.5 × 1.5 × 1.5)1/3 = 1.5 m
Cn = | = | |||||||
18 × 109 × In | ![]() | ![]() | ||||||
= | |||||
18 × 109 × In | ![]() | ![]() | |||
= 8.68 × 10-12F/m
= 8.68 × 10-9F/km
= 8.68 × 10-3µF/km
Capacitive reactance,
XC = | ||
2πƒ(Cn) |
= | ||
2π × 50 × 8.68 × 10-9 |
= 3.66 × 105 Ω/km