The Area A2 is 12,56m2, The Lamp#2 has a Luminous flux 600 Lumens and the distance D2 is 2 metersWhat is the illuminance on the A2 (the Lamp#1 is off) ### Transcription for Educational Website**Problem Statement:**Given the following spotlights placed as shown in the diagram, assume isometric distribution of the light.- The Area \(A2\) is \(12.56 \, m^2\).- Lamp #2 has a luminous flux of 600 Lumens.- The distance \(D2\) is 2 meters.What is the illuminance on the area \(A2\) (assuming Lamp #1 is off)?**Diagram Explanation:**The diagram shows two spotlights labeled Lamp #1 and Lamp #2. Each lamp is positioned above respective areas on the ground, labeled \(A1\), \(A2\), and \(A3\). For each lamp, a light fixture distance is indicated:- **Lamp #1:** Illuminates area \(A1\) (This lamp is off in the problem scenario).- **Lamp #2:** Illuminates area \(A2\) with a luminous flux of 600 Lumens and is 2 meters away from the area.Both lamps have a specified beam angle \(\Phi\), which describes the spread of the light over the surface areas. The diagram also shows an overlap area \(A3\) where the illuminance from both lamps would converge if Lamp #1 were on.**Objective:**Calculate the illuminance on area \(A2\) due to Lamp #2. **Calculation:**The formula for illuminance (\(E\)) is given by:\[ E = \frac{\Phi}{A} \]Where:- \(E\) is the illuminance in lux (lumens per square meter),- \(\Phi\) is the luminous flux in lumens,- \(A\) is the area in square meters.For area \(A2\), since \(\Phi = 600 \, \text{lumens}\) and \(A2 = 12.56 \, m^2\),\[ E = \frac{600}{12.56} \approx 47.77 \, \text{lux} \]Therefore, the illuminance on area \(A2\) is approximately 47.77 lux.

Illuminance is defined as the luminous flux incident on a surface per unit area. It measures the amount of illumination produced by the incident light on the surface area. The information provided in the question is as follows: A2=12.56 m2ϕ=600 lumensD2=2 m Illuminance can be calculated using the formula, E=ϕASubstitute the values in the formula given in step (1) to calculate illuminance on A2 when lamp 1 is off. E=600 lumens12.56 m2 =47.77 lux