In other words, if a time varying magnetic field induce a amount of voltage/current into a coiled wire, would generate the coiled wire that is loaded with the measured/calculated amount of induced voltage/current the same magnetic field?
My thought experiment is the following.
First thought experiment: I have a coiled wire ($N$, diameter $D$, length $l$) that is loaded with an ac current and/or voltage ($I_a$, $V_a$). The coiled wire generates a magnetic field $B_{gen}$ at position $A$ in a distance $d$ away from the coil.
Second thought experiment: I put a changing (time varying) magnetic field source $B_{sou}$ at $A$ and calculate the induced current and/or voltage ($I_{in}$,$V_{in}$) into the coiled wire. But, the changing magnetic field source equals the calculated magnetic field such that $B_{sou}=B_{gen}$.
Question: Would the induced voltage/current equal the voltage/current from the first experiment such that: $(I_{in}$,$V_{in})=(I_a, V_a)$ ?
I assume that Lorentz reciprocity is not applicable. I do not only the interchange the position of source and sink but the kind of source as well.
