A two conductor 1 – φ line operates at 50 Hz. The

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A two conductor 1 – φ line operates at 50 Hz. The diameter of each conductor is 2 cm and are spaced 3m apart. What is the line to line capacitance?

1. 9.74 × 10^–9 F/km
2. 4.87 × 10^–9 F/km
3. 3.05 × 10^–9 F/km
4. None of these

Correct Option: B

Here, D = 3m, r = 2/2 = 1 cm = 10^–2 m

∴ C_n =	2πε₀		=	1
	In(D/r)			18 × 10⁹In		3
						2

= 9.74 × 10^-12 F/m = 9.74 × 10⁹ F/km
Line to line capacitance,

C_L =	C_n	=	1	× 9.74 × 10^-9
	2		2

= 4.87 × 10^-9 F/km