4.5 HP Needs a 30 Amp Breaker?

A high startup current of a motor is caused by the motor's windings providing a direct short across the line. After the initial surge the motor produces a counter voltage, known as a counter electro motive force (EMF), as a result of the collapsing magnetic field around the coils as the voltage cycles. This counter EMF acts as a resistance limiting the current once it has been started.

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Nova
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Those are calcs based on Ohm's law which is for DC. This AC. You have to include Power Factor. There's also efficiency. Both will yield a higher current than your calcs.

Bob

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Bob

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