Problem 3: What Type pf Controller is used to control the Room Temperature А. Proportional Gain Controller 70 В. Feedback Gain Controller 60 Room temperature 50 С. On-Off Controller Outside temperature 40 D. Pulse width Modulation Controller Explain your answer 20 Furnace off Furnace on 10 2 4 6 8 10 12 14 16 Time (hours) Temperature ('F)

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**Problem 3:** What Type of Controller is used to control the Room Temperature

A. Proportional Gain Controller

B. Feedback Gain Controller

C. On-Off Controller

D. Pulse Width Modulation Controller

**Explain your answer:**

**Graph/Diagram Explanation:**

The graph provided illustrates temperature trends over a period of 16 hours. 

- **Y-axis (Temperature in °F):** This measures temperature from 0°F to 70°F.
- **X-axis (Time in hours):** This measures time from 0 to 16 hours.

- **Blue Line (Room Temperature):** Represents the temperature inside the room. Initially, it is around 50°F, then rises sharply at around 4 hours, and subsequently fluctuates slightly but stays within the range of 60°F to 65°F.

- **Gray Line (Outside Temperature):** Maintains a constant temperature of around 45°F throughout the 16 hours.

- **Furnace Bar:** Positioned at the bottom of the graph, indicating furnace operation. The "Furnace On" bars highlight when the furnace is actively heating, occurring briefly but repeatedly, indicating a cyclic pattern.

Overall, the graph shows the furnace is turned on and off at regular intervals to maintain the room temperature, suggesting an On-Off Controller is used, as indicated by option C.
Transcribed Image Text:**Problem 3:** What Type of Controller is used to control the Room Temperature A. Proportional Gain Controller B. Feedback Gain Controller C. On-Off Controller D. Pulse Width Modulation Controller **Explain your answer:** **Graph/Diagram Explanation:** The graph provided illustrates temperature trends over a period of 16 hours. - **Y-axis (Temperature in °F):** This measures temperature from 0°F to 70°F. - **X-axis (Time in hours):** This measures time from 0 to 16 hours. - **Blue Line (Room Temperature):** Represents the temperature inside the room. Initially, it is around 50°F, then rises sharply at around 4 hours, and subsequently fluctuates slightly but stays within the range of 60°F to 65°F. - **Gray Line (Outside Temperature):** Maintains a constant temperature of around 45°F throughout the 16 hours. - **Furnace Bar:** Positioned at the bottom of the graph, indicating furnace operation. The "Furnace On" bars highlight when the furnace is actively heating, occurring briefly but repeatedly, indicating a cyclic pattern. Overall, the graph shows the furnace is turned on and off at regular intervals to maintain the room temperature, suggesting an On-Off Controller is used, as indicated by option C.
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