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HDMI has limitations, though, and isn't always the perfect choice. For example, your TV likely has HDMI 1.4 connections, which max out at 3,820x2,160-pixel resolution at 30 frames per second.
HDMI is limited to 50 mA over its +5V (0.25 watt), so HDMI to VGA adapters often need some other source of power. Quite often a HDMI device will go significantly beyond 50 mA ...
HDMI is really best for connecting a PC to an HDTV. Consequently, I’d go with a DVI cable. That’ll give you a pure digital signal (VGA is analog) and a much sharper picture at higher resolutions.
Ballpark figure for a HDMI to VGA decoder is around 200 mA at 5 volts. That's a watt. For such a small device, you're going to expect that to make it fairly warm.
Thunderbolt Gen 1 and 2 don’t support USB 3.1, Type C or even 3.0 for that matter. An adapter wouldn’t have fixed this problem. However, Apple is releasing Thunderbolt 3 later in 2015.
How to connect your PC to a projector. 1. Ensure both your laptop and your projector are powered off before connecting the two via the VGA cable, HDMI cable, and/or additional adapters.
Panasonic appears intent on shaving off every possible gram from the new models, and the VGA port is notoriously bulky compared to modern, all-digital alternatives like HDMI.