Is there any way to test a breaker?

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You can picture it as if it were one common neutral wire and two hots plus a ground. You can picture it as two separate 20 amp breakers that are tied together at the switch with one of each hot wires going to a different breaker. though I always recommend buying the manufactured dual breakers for 240 volt single phase use.

And HEY, I AGREED WITH LEADFOOT!!!

Must be something I don't understand.
Isn't the first time.
Won't be the last time.

Why Do 240V Circuits Not Require Neutral?

Therefore, if a device requires only 240V, only two ungrounded (hot) conductors are required to supply the device. If a device runs on 120V, one ungrounded (hot) conductor and one grounded (neutral) conductor are needed. If a device needs both 120V and 240V, then two ungrounded (hot) conductors and one grounded (neutral) conductor must be used.

Identifying House Electric Wiring Colors | DoItYourself.com

In some instances a white wire may be marked with a piece of black electrical tape at its ends. A white wire that has been marked with black means it's acting as a hot wire and is no longer neutral.