  Like electrons, Cooper pairs can carry a monopole charge if the pairing
electrons come from two or more Fermi surfaces with different Chern numbers. In
such an instance, a superconductor is necessarily nodal due to an inherent
topological pairing obstruction. In this work, we show that a similar
obstruction is also possible when there is only one Fermi surface involved in
the pairing process. By developing a Chern-vorticity theorem, we have
identified a class of Fermi surfaces with a quantized dipolar Berry flux
pattern, where all intra-Fermi-surface Cooper pairings are ``dipole-obstructed"
and nodal. As a real-world application, we find that the dipole obstruction
plays a crucial role in stabilizing the superconducting nodal structure for
$j=3/2$ half-Heusler compounds.
