Hi there amwelker,
Thanks for joining us in Apple Support Communities! We understand you're hearing a buzzing sound when connecting your iPad to your MacBook via a wired connection and sharing your iPad screen in the third-party app, Zoom. We're glad you're here, and we'd like to learn more to see how we can help.
To begin, have you tried connecting your iPad to your MacBook with a different cable to see if that makes a difference? Are you using an Apple cable to connect your iPad to your MacBook? Learn how to tell here:
Identify counterfeit or uncertified Lightning connector accessories
Next, does this happen in any other apps on your Mac? Although the title of the support article below doesn't match the exact issue you're experiencing, try working through the suggested steps to see if they help:
If an app on your Mac stops responding, closes unexpectedly, or won’t open
Also, if the issue persists, try resetting the SMC and NVRAM on your MacBook:
How to reset the SMC of your Mac
Reset NVRAM or PRAM on your Mac
Let us know how it goes.
Take care.