Airplanes have so many electronic devices working the hum could be many things, but I’m guessing when you hold your device, you are grounding it. Apple or many others offer external batteries. I have a couple of them. The Apple one is about the size of a deck of cards only square and the No name one is the width of a deck of cards only almost twice the length. Either keeps my iPad charged for 36+ hours, when doing a lot of video calls.
All the best.