As we get closer to release (I know, a bit away) but we can use this thread to keep track of all of the cool accessories - cases, docks, etc!
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On a related note, will the wireless charging back for the note 3 work on m QI wireless charger that I purchased for my nexus 4?
If the extra contacts are on the cover, it may be to be compatible with various models of phones which may have their contacts in different locations. If the multiple contacts are on the phone itself, some may be for testing purposes, i.e. contact test points, and the two you mention are for charging. It's true that a battery only needs a positive and negative to take a charge, however there can be additional contacts for testing of the battery/charging circuit either during charging (to see how the circuit and battery are performing), and/or after charge (to determine the state of charge or condition of the battery).
So would you not recommending purchasing a Qi-standard battery coil receiver with only 2 contacts for the Note 3? (Especially if it was just going to be left on a charging mat overnight and not monitored until morning?) Seems like smartphones would have other sensors or mechanisms for monitoring the charge amount but maybe that's what the 3rd contact is for.