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A photovoltaic panel has an efficiency of 30% and an output power of 50W. Calculate the power input and the surface area needed if the solar intensity reaching the surface is 560 Wm⁻².
ScanSolve AI Answer
Step-by-step solution
9 stepsHere are the solutions to the questions:
i) If the efficiency of the panel is 30%, determine the power input into the photovoltaic plate.
State the formula for efficiency.
Efficiency (η) = (Power output) / (Power input)
Rearrange the formula to solve for power input.
Power input (P_in) = (Power output) / Efficiency (η)
Substitute the given values.
Given: Power output (P_out) = 50.0 W, Efficiency (η) = 30% = 0.30
P_in = 50.0 W / 0.30Calculate the power input.
P_in = 166.666... W
The power input into the photovoltaic plate is approximately 167 W.
ii) Above the earth's atmosphere, the solar constant is 1.4 kWm⁻². However, only 40% of this power per unit area reaches the earth. Estimate the surface area of the panel in figure 10.
Calculate the power per unit area (intensity) that reaches the Earth's surface.
Solar constant (S) = 1.4 kWm⁻² = 1400 Wm⁻²
Intensity at Earth's surface (I_earth) = 40% of S
I_earth = 0.40 × 1400 Wm⁻²
I_earth = 560 Wm⁻²State the relationship between power input, intensity, and surface area.
Power input (P_in) = Intensity (I_earth) × Surface area (A)
Rearrange the formula to solve for surface area.
Surface area (A) = (Power input (P_in)) / (Intensity (I_earth))
Substitute the power input from part (i) and the calculated intensity.
P_in = 166.67 W (from part i)
A = 166.67 W / 560 Wm⁻²Calculate the surface area.
A = 0.2976 m²
The estimated surface area of the panel is approximately 0.298 m².
iii) Explain why solar energy is referred to as renewable source energy.
Solar energy is considered a renewable energy source because it originates from the sun, which provides a virtually inexhaustible supply of energy on a human timescale. The sun continuously emits vast amounts of energy, and its supply is not depleted by human use, unlike fossil fuels which are finite and take millions of years to form.
i) What is the ozone layer?
The ozone layer is a region within the Earth's stratosphere that contains a relatively high concentration of ozone (O₃) molecules. Its crucial function is to absorb most of the Sun's harmful ultraviolet (UV) radiation, preventing it from reaching the Earth's surface and protecting living organisms from its damaging effects.
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