DSLRs (except the Foveon) and all consumer cameras, smartphone cameras, and webcams use what's called a Bayer filter. They don't actually record red, green, and blue at their full resolution. They record it at 1/4 resolution for red and blue, 1/2 resolution for green. Computer software then smears out the colors to kinda sorta match the monochrome picture.
https/en.wikipedia.org/wiki/Bayer_filter
Broadcast grade cameras use a system of prisms to break up the incoming image into three identical images. These images fall onto three separate sensors, one for red, one for green, and one for blue. So each color is recorded at full broadcast resolution.
Camera sensors are getting high enough in resolution that this doesn't matter as much anymore. If you're shooting 1080p video with a 24MP camera (6000x4000), the color resolution is going to exceed a 1:1 pixel count at 1080p even with a Bayer filter. But broadcast people still like the certainty that the sensor is recording each color exactly where it was in the original scene, as opposed to an intermediate step where an algorithm is smearing the colors out.