
at the data logger, and both serve as the return path for 12V. The voltage will drop along those
wires because thewires have resistance.
The HMP155A draws approximately 4mA when it is powered. The wire used in the HMP155A has
resistance of 27.7Ω/1000ft. Since the signal reference and the power ground are both connected
to ground at the data logger, the effective resistance of those wires together is half of
27.7Ω/1000ft, or 13.9Ω/1000ft. Using Ohm’s law, the voltage drop (Vd), along the signal
reference/power ground, is given by Eq. 1 (p. 16).
Eq. 1
This voltage drop will raise the apparent temperature and relative humidity because the
difference between the signal and the signal reference wire at the data logger has increased by
Vd. The approximate error in temperature and relative humidity is 0.56°C and 0.56% per 100 feet
of cable length, respectively.
8.3 Absolute humidity
The HMP155A measures relative humidity. Relative humidity is defined by the following equation:
Eq. 2
where RH is the relative humidity, e is the vapor pressure in kPa, and esis the saturation vapor
pressure in kPa. The vapor pressure, e, is an absolute measure of the amount of water vapor in
the air and is related to the dewpoint temperature. The saturation vapor pressure is the
maximum amount of water vapor that air can hold at a given air temperature. The relationship
between dewpoint and vapor pressure, and air temperature and saturation vapor pressure are
given by Goff and Gratch (1946), Lowe (1977), and Weiss (1977).
When the air temperature increases, so does the saturation vapor pressure. Conversely, a
decrease in air temperature causes a corresponding decrease in saturation vapor pressure. It
follows then from Eq. 2 (p. 16) that a change in air temperature will change the relative humidity,
without causing a change absolute humidity.
For example, for an air temperature of 20°C and a vapor pressure of 1.17kPa, the saturation
vapor pressure is 2.34kPa and the relative humidity is 50%. If the air temperature is increased by
5°C and no moisture is added or removed from the air, the saturation vapor pressure increases
to 3.17kPa and the relative humidity decreases to 36.9%. After the increase in air temperature,
HMP155A Temperature and Relative Humidity Probe 16