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  1. 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
    1. 1.25 × 106 Ω/km
    2. 8.68 × 105 Ω/km
    3. 4.25 mΩ/km
    4. 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 =
2πε0
=
1
In(D/r)
18 × 109 × In
1.5
2.5 × 10-3

=
1
18 × 109 × In
1.5 × 10-3
2.5

= 8.68 × 10-12F/m
= 8.68 × 10-9F/km
= 8.68 × 10-3µF/km
Capacitive reactance,
XC =
1
2πƒ(Cn)

=
1
2π × 50 × 8.68 × 10-9

= 3.66 × 105 Ω/km



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