  We present the separation of the Teukolsky master equation for the test field
of arbitrary spin on the background of the rotating C-metric. We also summarize
and simplify some known results about Debye potentials of these fields on type
D background. The equation for the Debye potential is also separated.
  Solving for the Debye potential of the electromagnetic field we show that on
the extremely rotating C-metric no magnetic field can penetrate through the
outer black hole horizon --- we thus recover the Meissner effect for the
C-metric.
