Q5 Figure Q5 shows a Heating Room. There is a thermal system consisting of an electric heater in a room. Heat input by the heater is q, and heat loss from room is q2. Air in the room is at uniform temperature, T, and sorrounding tempereature is To. Thermal capacity of the room is C, and wall thermal resistance is R. Page 2 of 4

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Q5
Figure Q5 shows a Heating Room. There is a thermal system consisting of an
electric heater in a room. Heat input by the heater is q, and heat loss from
room is q2. Air in the room is at uniform temperature, T, and sorrounding
tempereature is T.. Thermal capacity of the room is C, and wall thermal
resistance is R.
Page 2 of 4
(a)
Determine a mathematical model of temperature of the room.
(b)
Determine the Transfer Function of the heating room.
(c)
Determine the output response of the system when a step input 25°C is given.
T
То
q!
q2
Нeater
R
Figure Q5
Transcribed Image Text:Q5 Figure Q5 shows a Heating Room. There is a thermal system consisting of an electric heater in a room. Heat input by the heater is q, and heat loss from room is q2. Air in the room is at uniform temperature, T, and sorrounding tempereature is T.. Thermal capacity of the room is C, and wall thermal resistance is R. Page 2 of 4 (a) Determine a mathematical model of temperature of the room. (b) Determine the Transfer Function of the heating room. (c) Determine the output response of the system when a step input 25°C is given. T То q! q2 Нeater R Figure Q5
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