Get connected channels for a channel

Asterisk Asterisk Support
1

is there a ARI/AMI that i can call to get the connected channel name/id for a channel?

2

I assume you mean bridged channel.

Historically, the system set channel variables to provide that information. In particular ${BRIDGEPEER].

3

I would use the CoreShowChannels AMI action, and filter out the specific channel information I need from the CoreShowChannel events it will trigger. Check:

https://wiki.asterisk.org/wiki/display/AST/Asterisk+13+ManagerAction_CoreShowChannels

and:

https://wiki.asterisk.org/wiki/display/AST/Asterisk+13+ManagerEvent_CoreShowChannel