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To determine the required KVA (kilo-volt-ampere) rating for an inverter to run a 1.5 horsepower (hp) air conditioner, we need to consider the power requirements of the air conditioner.

The power consumption of an air conditioner is typically specified in terms of watts (W) or kilowatts (kW), rather than horsepower. However, we can convert the horsepower rating to watts using the following conversion:

1 hp = 746 watts

So, a 1.5 hp air conditioner is approximately equal to:

1.5 hp * 746 watts/hp = 1,119 watts or 1.119 kilowatts

Now, to determine the required KVA rating for the inverter, we need to account for the power factor. The power factor is a measure of how efficiently the electrical power is being used by the device. For air conditioners, the power factor is typically around 0.9 to 1.

Assuming a power factor of 0.9, the formula to calculate the required KVA is:

KVA = kW / power factor

For a 1.5 hp air conditioner (1.119 kW) with a power factor of 0.9:

KVA = 1.119 kW / 0.9 ≈ 1.243 KVA

Therefore, a 1.5 hp air conditioner would require an inverter with a KVA rating of approximately 1.25 KVA to safely handle the power requirements. It's advisable to choose an inverter with a slightly higher KVA rating to provide some headroom and accommodate potential power fluctuations.

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