What is the charging current per phase of a three-core underground cable connected to 22 kV, 50 Hz three phase supply? Given that the capacitance of each phase to neutral is 18 µF. (Given the connection is star connected.)

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. 71.82 A
  2. 84.45 A
  3. 82.13 A
  4. 50 A

Answer (Detailed Solution Below)

Option 1 : 71.82 A
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Detailed Solution

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Concept

The charging current per phase of a three-core underground cable is given by:

\(I_c={V_{ph}\over X_c}=V_{ph}ω C\)

where, Ic = Charging current

Vph = Phase Voltage

ω = 2πf = Frequency

C = Per phase capacitance

Calculation

Given, C = 18μF

\(V_{ph}={22\over \sqrt{3}}\times 10^3\)

\(I_{c}={22\over \sqrt{3}}\times 10^3\times 314\times 18\times 10^{-6}\)

Ic = 71.82 A

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