Question

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.

Answer 1

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

$\frac{100}{100} \times 1000 watts/m^{2}$

= 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

$\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}$

= 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 2

Answer:

The value is $E = 6480000 J/day$

Step-by-step explanation:

The power produced per square meter is $P = 1000 \ W$

The efficiency of a solar cell is $\eta = 100\%$

The efficiency of 1 square meter panel of solar cells is $\eta_b = 30\%$

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

$P_a = \eta_b * P$

$P_a = 0.3 * 1000$

$P_a = 300$

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

$E = P_a * t$

=>     $E = 300 * 21600$

=>    $E = 6480000 J/day$