How to run an app NOT as administrator?

I have a headache now. I searched answers on google for days but no help at all. Here it is:

There is an app (A) running as administrator. I use A to run another app (B) by clicking a button on A.
B gets administrative rights from A after it is started.
But I want B run NOT as administrator. Any help?

I don't need code. I just want to know how. Thanks in advance!