The capacitance per kilometre of 3-phase belted cable is 0.09 F between the two cores with the third core connected to the lead sheath. Determine the core to neutral capacitance for the 5 km long cable.

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  1. 9 F
  2. 0.9 F
  3. 100 F
  4. 0.09 F

Answer (Detailed Solution Below)

Option 2 : 0.9 F
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Detailed Solution

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Construction of 3ϕ cable

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A 3ϕ cable consists of a core and a sheath. 

Cc represents the core capacitance and Ce represents the sheath capacitance.

Explanation

The equivalent capacitance between the two cores with the third core connected to the lead sheath forms the line capacitance. 

F1 Vinanti Engineering 11.01.23 D10

The phase capacitance is twice the line capacitance.

\(C_p=2× C_L\)

Given, CL = 0.09 F/km

\(C_p=(2× 0.09)\space F/km\)

Cp = 0.18 F/km

For 5 km, the equivalent capacitance is:

Cp = 5 × 0.18 

Cp = 0.9 F

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