MikeX:
I'm playing with an HC-05 module, and measured that it draws 60-70ma when idle or active.
Does this seems a bit too much since this is a bluetooth class 2.0 dongle with 2.5mw output at the antenna?
It could mean bad measurement. The HC-0x isn't famous for low power consumption but I think it runs at 8mA with up to 40mA
when active. I imagine most of the power is taken by the LED. If power is perceived as a problem, you could get a bare module and omit the connection to the LED.
Probably better to feed it from a separate power feed, rather than directly from 5v+ pin on the Arduino?