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Classroom Challenge Projects/Projects/Maximizing Solar Panel Output for a Fixed Area/README.md

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@@ -26,7 +26,7 @@ The total energy output (in simplified units) can be approximated as:
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$$E(\theta, r) = A \cdot \eta(\theta) \cdot sunIntensity(\theta) \cdot f(r)$$
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In words, this equation states that the energy output of a solar panel depends on two variables: θ (the tilt angle of the solar panel, in degrees) and r (the aspect ratio, or shape, of the rectangular solar panel). The energy output also depends on the area (A) of the solar panel - we are told that the area is fixed at 2 m². The energy output of the solar panel depends on θ through an efficiency function η(θ), which models the effect of the tilt angle on the solar panel's energy efficiency, and a sunIntensity function (sunIntensity(θ)), which models the variation in sunlight intensity hitting the solar panel at different tilt angles. Finally, the energy output of the solar panel also depends on a shape efficiency function f(r), which models the effect of the solar panel's energy efficiency based on the aspect ratio, or shape, of the rectangular solar panel.
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In words, this equation states that the energy output of a solar panel depends on two variables: θ (the tilt angle of the solar panel, in degrees) and r (the aspect ratio, or shape, of the rectangular solar panel). The energy output also depends on the area (A) of the solar panel - we are told that the area is fixed at 2 m². The energy output of the solar panel depends on θ through an efficiency function (η(θ)), which models the effect of the tilt angle on the solar panel's energy efficiency, and a sunIntensity function (sunIntensity(θ)), which models the variation in sunlight intensity hitting the solar panel at different tilt angles. Finally, the energy output of the solar panel also depends on a shape efficiency function f(r), which models the effect of the solar panel's energy efficiency based on the aspect ratio, or shape, of the rectangular solar panel.
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The given value for A, suggested starting ranges for θ and r, and the equations for the efficiency function, sunIntensity function, and shape efficiency function, are provided below:
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- **A = 2 m²** (fixed area)
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Your task: Find the optimal θ and r that maximizes energy output, using the provided energy function E(θ, r).
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### Suggested Steps
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Open the "SolarPanel_StudentProjectTemplate.mlx" Live Script in MATLAB as a starting point for your project. More detailed implementation guidelines for each suggested task are provided in the Live Script file. The Live Script contains more detailed information for each of the suggested steps.
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Open the "SolarPanel_StudentProjectTemplate.mlx" Live Script in MATLAB as a starting point for your project. More detailed implementation guidelines for each suggested task are provided in the Live Script file.
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1. Define the objective function in MATLAB (the energy function).
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- Plug the given values and equations into the energy output equation, as shown below:

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