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LDC1000 minimum coil diameter for sensing human finder

Dear sir,

What is mimimum diameter of PCB coil to sense human finger? In order to use LDC for bottons on side of smartphone, small diamater coil has to be printed like on flexible cable. Assuming vey thin casecover (plastic material) is exiting between the coil and finger.  

It is proably depending on how much PCB or flex-cable can accept how many turns, pitch and width.

It will be nice If few mm dia PCB coil  will work with finger around less than just 1mm distance away.  

Best regards,

Masa Katayama