How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of power per square meter of surface. Suppose a 1 square meter panel of solar cells has an efficiency of 30% and receives the equivalent of 6 hours of direct sunlight per day.

Respuesta :

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

[tex]\frac{100}{100} \times 1000 watts/m^{2}[/tex]

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

[tex]\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}[/tex]

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

Answer:

The value is [tex]E = 6480000 J/day [/tex]

Step-by-step explanation:

The power produced per square meter is [tex]P = 1000 \ W[/tex]

The efficiency of a solar cell is [tex]\eta = 100\%[/tex]

The efficiency of 1 square meter panel of solar cells is [tex]\eta_b = 30\%[/tex]

The duration of sunlight received by a one square meter panel of solar cells is t = 6 * 60 *60 = 21600 seconds

Generally the power generated by 1 square meter panel of solar cells is mathematically represented

[tex]P_a = \eta_b * P[/tex]

[tex]P_a = 0.3 * 1000[/tex]

[tex]P_a = 300[/tex]

Generally the Energy produced by 1 square meter panel of solar cells per day is mathematically represented as

[tex]E = P_a * t[/tex]

=>     [tex]E =  300 * 21600 [/tex]

=>    [tex]E =  6480000 J/day [/tex]