Just purchased my new iPad (3rd Gen) and noticed it comes with a much larger mains charger transformer plug:
... than the iPhone 4 mains charger plug.
My question is, can you charge the new iPad with an iPhone 4 charger, or will it damage your battery. Conversely, can you charge an iPhone 4 with the iPad charger, or will that damage the iPhone 4 battery?

... than the iPhone 4 mains charger plug.

My question is, can you charge the new iPad with an iPhone 4 charger, or will it damage your battery. Conversely, can you charge an iPhone 4 with the iPad charger, or will that damage the iPhone 4 battery?