Here are your parts
Replacement parts for WHIRLPOOL KECC508RPB00 30" ELECTRIC BUILT-IN CERAN COOKTOP | AppliancePartsPros.comSee the attachment for the tech sheet.
Here is a manual
http://appliancedigest.c...l-cooktop-service-manualYou have to join the site to download the manual but it is free and this is a very good site for manuals and other info for the appliance repair DIYer.
You will not have to replace the entire cooktop.
Remove the element and check it with a meter.
If OK then odds are that the control board is shot (Item 15) if the stove top control seems to function properly.
Be sure to remove power from the unit when working on it.
If you do not own a meter, I would suggest you purchase a one. You can get a decent digital multimeter for under $20.00. You do not need fancy though it is nice if the leads are a couple feet long.
If it saves ordering one unnecessary part it has paid for itself and you end up owning a useful tool.
Most places will not let you return electrical parts so if you order it, you own it.
A couple things to watch when measuring ohms and continuity
1. Always remove power from the machine otherwise you could blow your meter.
2. Always disconnect at least one side of any device you are checking. This eliminates the possibility of measuring an alternate/parallel circuit path.
3. When checking for closed contacts and continuity use the lowest scale (Usually 200 ohms). Then try higher scales. This scale is 0 to 200 ohms so if the device you are measuring is 300 ohms this scale would show an open circuit which it is not, you are just measuring outside the scale's dynamic range.
4. When you start always short the meter leads together. This will tell you that the meter is working and if there is any 0 offset.
There is a good STICKY at the start of this forum about it's use.