Answer:
(a) Power = 7.04 * 10^17 W
(b) 7.04 * 10^4
Explanation:
Parameters given:
Radius of the earth, R = 6.37 * 10^6 m
Total power consumption = 10¹³ m
Intensity of solar radiation = 1380 W/m²
(a) We can find power by using the formula below:
Power = Intensity * Surface Area
Surface Area is given as:
4 * 3.142 * R²
4 * 3.142 * (6.037 * 10^6)²
S. A. = 5.099 * 10¹⁴ m²
Power = 1380 * 5.099 * 10¹⁴
Power = 7.04 * 10^17 W
(b) Factor by which the solar power received by earth is greater than the power consumed is:
(7.04 * 10^17) / (10^13)
= 7.04 * 10^4
The solar power received by earth is greater than the power consumed by a factor of 7.04 * 10⁴
