On a cloudless day, the sunlight that reaches the surface of the earth has an intensity of about 1.2 103 W/m2. What is the electromagnetic energy contained in 6.4 m3 of space just above the earth's surface?

To calculate the electromagnetic energy contained in a given volume just above the Earth's surface, we need to determine the total power passing through that volume.

The power passing through a given area is determined by multiplying the area by the intensity of sunlight. In this case, the intensity of sunlight is given as 1.2 x 10^3 W/m^2. Therefore, the power passing through each square meter is 1.2 x 10^3 W.

To determine the power passing through the given volume, we multiply the power per square meter by the surface area of the volume. In this case, the volume is given as 6.4 m^3.

To find the surface area of the volume, we need to calculate the area of each side of the volume and then sum them up.

Since the volume is 6.4 m^3, we can assume it is a rectangular box. Let's assume the sides are labeled as length (L), width (W), and height (H).

The surface area is calculated as follows:

- The area of the top and bottom sides is given by L x W.
- The area of the front and back sides is given by W x H.
- The area of the left and right sides is given by L x H.

The total surface area is the sum of all these areas: 2(L x W) + 2(W x H) + 2(L x H).

Now we multiply the surface area by the power per square meter (1.2 x 10^3 W) to get the total power passing through the volume.

Finally, to calculate the energy contained in the volume, we multiply the power by the time for which it is present. Since no time is specified in the question, we can assume it is instantaneous, which means the time is very small (close to 0).

Therefore, the electromagnetic energy contained in 6.4 m^3 of space just above the Earth's surface is given by the formula:

Energy = Power x Time

However, since the time is close to 0 in this case, the energy is extremely small.

Please note that the above calculation assumes a uniform intensity of sunlight throughout the given volume, and disregards any possible variations due to angles or shadow effects.

To determine the electromagnetic energy contained in the given volume of space, we need to calculate the total amount of sunlight that enters that volume.

Step 1: Calculate the total amount of sunlight that enters the given area.
Given:
Intensity of sunlight on the surface of the earth = 1.2 * 10^3 W/m^2
Area = 6.4 m^3 (assuming you mean the volume as the area here)

To find the total amount of sunlight that enters the given area, we need to multiply the intensity of sunlight by the area.

Total energy = Intensity * Area

Total energy = 1.2 * 10^3 W/m^2 * 6.4 m^3

Step 2: Calculate the electromagnetic energy contained in the given volume.
To find the electromagnetic energy contained in the given volume, we need to multiply the total energy by the volume.

Electromagnetic energy = Total energy * Volume

Electromagnetic energy = (1.2 * 10^3 W/m^2 * 6.4 m^3) * 6.4 m^3

Now, you can calculate the electromagnetic energy contained in 6.4 m^3 of space just above the earth's surface by plugging in the values and performing the calculation.

V= 6.3m³= A•h =1m•1m• 6.3 m

t=h/c=6.3/3•10⁸=2.1•10⁻⁸s.
Energy hitting the base of 1m² is
E₀=I/A=1.2•10³(W/m²)/1(m²)=
= 1.2•10³ W = 1.2•10³ W J/s.

E=E₀•t=1.2•10³(J/s) •2.1•10⁻⁸(s) =
=2.52•10⁻⁵ J