Another important effect arises when a junction is a part of a device
operating with frequency f and is switching with a period
. If
, the bias current fully relaxes to its
equilibrium value between successive SFQ pulses and value of the
negative change
in (
) is not important. When we
begin to lower bias voltage, l/r becomes comparable with
and
the junction switches from a somewhat smaller value of the bias
current. This effect of self-influence can be analyzed by choosing
in the following form:
The change in bias current exactly before the next flip is given by
:
In the most interesting case of
,
(
) can be crudely estimated as
This is a natural result: a junction letting through f SFQs
per second induces average voltage
applied against
the biasing voltage.
Requiring that
we get
resulting in the power dissipation of
per biased junction. ``Efficiency'' estimate (
)
in this case is:
In practice one would not want to sacrifice more than a fraction of
the bias margin (
) and, since typically it is close to
,
should be always significantly smaller than
0.3. For
and
the minimal bias voltage
can be estimated as
and the corresponding minimal
dissipated power for a biasing current
as
( for a biasing current
) per biased
junction.