Thank you for your query on Healthcare Magic.
Feeling of the pulse at wrist is quite normal and it is not indicative of any pathology.
But for fast heart beat the following things to be rule out by proper investigations :
2.Hyperfunction of the thyroid
As EKG is normal, nothing to worry.
Don't panic as these symptoms are looking like to be of anxiety.
Basic investigations are required like Hemoglobin
and thyroid profile to look for anemia and thyroid abnormality.
Consult your GP for the examination of your cardiovascular system, to rule out anxiety, and for ordering the investigations.
Hope I have answered your query.