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Determine the charging current (Ic) at 50 Hz of a single-conductor EHV transmission line having voltage to ground of 500 kV and capacitance per unit length of the conductor to ground 2 nF/km.
1. 0.1 π A
2. π A
3. 0.01 π A
4. 0.001 π A

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Correct Answer - Option 1 : 0.1 π A

Concept:

Charging current = VωC

Where,

V = Voltage in volts

ω = 2πf = Angular frequency

f = Supply frequency in Hz 

C = Equivalent capacitance

Calculation:

Given that, voltage (V) = 500 kV

Frequency (f) = 50 Hz

Capacitance = 2 nF/km

Charging current (Ic) = 500 × 103 × 2π × 50 × 2 × 10-9

= 0.1 π A

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