The electrodynamic response of a current-biased inductive network of small
Josephson junctions located at the edges of a cube of side a is studied. Th
e dynamical equations for the gauge-invariant phase differences across the
junctions are derived in the presence of a constant magnetic field H applie
d along an arbitrary direction in space. When H is applied in a direction p
arallel to one of the sides, it is found that the time evolution of the vol
tages across the branches of the network reproduces the well known features
present in superconducting quantum interference devices.