If the phase-to-ground voltage is 7200 V, the phase-to-phase voltage is approximately

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Multiple Choice

If the phase-to-ground voltage is 7200 V, the phase-to-phase voltage is approximately

In a three-phase system, the line-to-line voltage (phase-to-phase) is the phase voltage (phase-to-neutral) multiplied by sqrt(3) for a wye connection. With a phase-to-ground voltage of 7200 V, the line voltage is 7200 × sqrt(3). Using sqrt(3) ≈ 1.732 gives 7200 × 1.732 ≈ 12,470 V. So the phase-to-phase voltage is about 12.47 kV, which matches the given choice. If it were a delta connection, the line and phase voltages would be equal, but the phrase phase-to-ground implies a neutral and a wye setup, hence the sqrt(3) factor.

In a three-phase system, the line-to-line voltage (phase-to-phase) is the phase voltage (phase-to-neutral) multiplied by sqrt(3) for a wye connection. With a phase-to-ground voltage of 7200 V, the line voltage is 7200 × sqrt(3). Using sqrt(3) ≈ 1.732 gives 7200 × 1.732 ≈ 12,470 V. So the phase-to-phase voltage is about 12.47 kV, which matches the given choice. If it were a delta connection, the line and phase voltages would be equal, but the phrase phase-to-ground implies a neutral and a wye setup, hence the sqrt(3) factor.

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