how does the operation of a (disk brake) braking system from the input of the driver’s foot to the final outcome at the road wheels work?
Basically you press the brake pedal and this forces a plunger in the brake reservoir to compress hydraulic fluid along a pipe to force a second plunger to push a brake pad against the disc
Power steering fluid will cause the rubber parts in your brake system to swell up. Flush out the PS fluid with mineral spirits, and just to be safe, change your brake hoses.
You need to have your brakes flushed immediately or you are going to have a serious problem. Power steering fluid will mess up every one of your seals. Be careful of driving it until you find out if the damage has been done or if it wasn't enough to hurt it. Don't waste time getting the system flushed either!
Power steering fluid is a lubricant and will ruin your brake system. If you have not driven the car, you should be able to disconnect the lines at the master cylinder and pump the brake petal to force the PS fluid out. Once that is done, refill with brake fluid and repeat. After that you should be able to fill the master cylinder and be fine. If you have driven the car, you will have to bleed the brake system and refill with brake fluid. Neither one is a huge job.
It works similarly to a bicycle's brakes. The tire and wheel is bolted to the rotor. The caliper pushes the brake pads together squeezing the rotor. The rotor is like a bike's wheel and the caliper is the metal piece that the brake pieces are attached to.