This is a follow up question from my question answered here:
Essentially I just found out today that we are actually measuring the derivative of the time varying electric field with an antenna, rather than its magnitude at a given point in time. So my questions is if that is the case, why do we not normally need to integrate the output (measured) of a receive antenna? I know the integral of a sin is a cos etc. but there will usually be an amplitude term as well which seems important?
To clarify the question as there seems to be confusion in the comments, I am referring to time varying fields not static ones.