  In media with only short-ranged couplings and interactions, it is natural to
assume that physical responses must be local. Yet, we discover that this is not
necessarily true, even in a system as commonplace as an electric circuit array.
This work reports the experimental observation of non-local impedance response
in a designed circuit network consisting exclusively of passive elements such
as resistors, inductors and capacitors (RLC). Measurements reveal that the
removal of boundary connections dramatically affects the two-point impedance
between certain distant nodes, even in the absence of any amplification
mechanism for the voltage signal. This non local impedance response is distinct
from the reciprocal non-Hermitian skin effect, affecting only selected pairs of
nodes even as the circuit Laplacian exhibits universally broken spectral
bulk-boundary correspondence. Surprisingly, not only are component parasitic
resistances unable to erode the non-local response, but they in fact give rise
to novel loss-induced topological modes at sufficiently large system sizes,
constituting a new manifestation of the critical non-Hermitian skin effect. Our
findings chart a new route towards attaining non-local responses in photonic or
electrical metamaterials without involving non-linear, non-local, active or
amplificative elements.
