The maximum output of a solar street light depends on the surface area and efficiency of the solar panel, as well as the intensity of solar energy that the solar panel can collect. Generally speaking, the larger and more efficient a solar panel is, the more solar energy it can collect and therefore the higher the maximum power it can produce.
Assume that the area of the solar panel is A square meters, the efficiency is eta, and the solar energy intensity is I watt/square meter. According to the working principle of solar panels, the power of solar energy that can be collected by solar panels can be expressed as P = A × η × I.
For a 4 meter solar street light high, we can assume that the surface area of the solar panel is 4 square meters. The efficiency of solar panels is generally between 15% and 20%. We can take an average value and assume that the yield is dand 17%. The intensity of solar energy varies depending on geographic location and season, and is generally between 1,000 watts/m2 and 1,500 watts/m2. We can take an intermediate value and assume that the intensity of solar energy is 1250 watts/square meter.
By putting these values into the formula P = A × η × I, we can calculate the maximum power of the solar street light:
P = 4 square meters × 17% × 1250 watts/square meters = 850 watts
Therefore, the maximum power of a 4 meter high solar street light is approximately 850 watts. It should be noted that this is only an estimate and the actual maximum power may be affected by other factors such as weather conditions, condition of solar panels, etc.
The solar street light is a lighting device that uses solar energy to produce electricity. It converts solar energy into electrical energy via solar panelsires, then stores it in lithium batteries for nighttime lighting. According to the conditions given in the question, we need to calculate the capacity of lithium batteries required to meet the needs of solar street lights.
First, we need to calculate the total daily energy consumption of solar street lights. According to the conditions given in the question, the light source power of the solar street light is 30W and lights up for 6 hours. Therefore, the daily energy consumption is 30 W * 6 hours = 180 Wh.
Next, we need to calculate the energy consumption of solar street lights on rainy days. According to the conditions given in the question, solar street lights should stay on for 7 hours on rainy days. Since there is no solar power supply on rainy days, the power supply must depend on electricity stored in batterieslithium. Let's assume that the energy consumption on rainy days is the same as on sunny days, i.e. 180 Wh per day. Therefore, the energy required on rainy days is 180 Wh * 7 hours = 1260 Wh.
In summary, the total energy consumption of solar street lights per day is 180Wh + 1260Wh = 1440Wh.
Next, we need to calculate the lithium battery capacity needed to meet the needs of the solar street lights. Generally speaking, the capacity unit of a lithium battery is ampere-hour (Ah), that is, the time the battery can provide power when the current is of 1 A. We can calculate the required capacity of the lithium battery by the following formula:
Lithium battery capacity (Ah) = total energy consumption (Wh) / voltage (V )
According to the question, there is no voltage checking of solar street lights. Generally, the tensionn of solar street lights is 12V. Therefore, we can set the voltage to 12V and substitute it into the formula to calculate:
Lithium Battery Capacity (Ah) = 1440Wh / 12V = 120Ah
Therefore, a lithium battery with a capacity of 120 Ah is required in order to meet the usage needs of solar street lights.
In summary, according to the conditions given in the question, the 30W light source of the solar street light can last 6 hours and 7 rainy days, and it should be equipped with a lithium battery with a capacity of 120Ah.