https://file.aiquickdraw.com/mathbot/file/1727341745509lbgntv49.jpg

The problem in the image asks to calculate the annual electricity generation of a solar power system (PV system) installed on an area of 30 m × 40 m, given the following information:

- The total average solar radiation in the region is 1,200 kWh/m²/year.
- The energy production efficiency of the PV system is 21%.
- We are asked to calculate the electricity generated by the system annually in kWh.

### Step-by-Step Calculation:

1. **Calculate the total area of the PV system:**
   \[
   \text{Area} = 30 \, \text{m} \times 40 \, \text{m} = 1200 \, \text{m}^2
   \]

2. **Determine the total solar energy received by this area per year:**
   \[
   \text{Total solar energy} = \text{Area} \times \text{Solar radiation per m}^2
   \]
   \[
   = 1200 \, \text{m}^2 \times 1200 \, \frac{\text{kWh}}{\text{m}^2 \cdot \text{year}} = 1,440,000 \, \text{kWh/year}
   \]

3. **Apply the system efficiency to calculate the actual electricity generated:**
   \[
   \text{Electricity generated} = \text{Total solar energy} \times \text{Efficiency}
   \]
   \[
   = 1,440,000 \, \text{kWh/year} \times 0.21 = 302,400 \, \text{kWh/year}
   \]

### Final Answer:
The solar PV system will generate **302,400 kWh per year**.

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Do you have any questions or would you like a more detailed explanation?

Here are 5 related questions:
1. How is solar radiation typically measured in different regions?
2. How does the efficiency of a PV system affect energy production over time?
3. What factors could influence the real-world efficiency of a solar panel system?
4. How would a change in the size of the PV system affect the annual electricity generation?
5. What are the benefits of using solar energy compared to other renewable energy sources?

**Tip:** Solar panel efficiency can decrease over time due to factors like dirt accumulation, degradation, and temperature changes. Regular maintenance can help sustain performance.

Vi installerar ett solcellskraftverk (PV-system) om 30x40 m. Den genomsnittliga totala strålningen i denna region är 1 200 kWh/m²/år. Energiproduktionseffektiviteten för detta PV-system är 21 procent. Hur mycket el genererar vårt system årligen? Svara i kWh.

Learn how to calculate the annual electricity generation of a solar power system with a size of 30x40 meters and an energy production efficiency of 21%. The total solar radiation in the region is 1,200 kWh/m²/year. Suitable for high school students.

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