Re: belling free standing cooker
dont know this model but
assume you are talking ceramic ring and not halogen
most elements either work or they dont so most likely to be control use a multimeter and test ring
if it is a single circuit plate you could swop live on controllers to see if fault moves to another plate
if a simmerstat is used make sure you have a quiet room. turn cooker on and listen closely for simmerstat going in and out you will probably get a buzz from ring as it is powerered up. on full power the simmerstat will not click on and off
hope this helps
Dave