A house with no windows has walls which
consists of thermal insulation with resistance
Km
/W
surrounded by hard wall with total resistance
Km
/W. The area of the wall
is A=80 m
how much power is required to heat the house to 60 F on a day when it is
32 F outside.
The total effective thermal resistance is
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The power consumption is thus
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Now keeping the same overall area the same we put in windows with thermal resistance
Km
/W and area
m
. The new effective thermal resistance is
obtained from the formula for parallel connection of thermal resistors:

Note the large reduction in thermal resistance resulting from the small thermal
resistance from the windows. This is the typical result of a parallel connection. The effective
resistance is smaller than the smallest resistance involved. The corresponding
rate of power consumption is now a factor
larger:
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