My space capsule floats at a distance of R18x1011m from the

My space capsule floats at a distance of R=1.8x10^11m from the sun. I have a solar panel that is 5m by 10m. The sun releases energy as light with a power of 3.845x10^26 W.

My space capsule floats at a distance of R = 1.8 times 10^11 m from the sun. 1 have a solar panel that is 5m by 10m. The sun release energy as light with a power of 3.845 times 10^26W. What is the intensity of the sunlight at 1.8 times 10^11 m from the sun? What is the amplitude of the electric field of this light? What is the amplitude of the magnetic field of this light? If my 10 m by 5 m solar panel absorbs all light that hits it and is perfectly efficient, how much power does it supply me? What is the radiation pressure of the sunlight at my location? What force will the radiation pressure apply to my solar panel? What would be the force if it were a mirror rather than a solar panel? My porthole has a window that is a polarizing filter and I am wearing polarizing sunglasses, when I tilt my head 20degree it creates a situation as pictured. In terms of intensity of the unpolarized light, I_0 what are IA and IB?

Solution

a> Intensity = Power/Area

now as the solar panel is rectangular in shape and the distance that the sunlight travels from the sun to the solar panel
is = 1.8x10^11 m
so the area will be cuboidal in shape and the area of cuboid is = 2(lw+lh+wh)
                                                                = 2(1.8x10^11 * 10 + 1.8x10^11 * 5 + 10*5)
                                                                = (36x10^11 + 18x10^11 + 100)
                                                                = 5.4000000001*10^(12) m^2
power = 3.845*10^(22) W

hence Intensity = I = P/A = [3.845*10^(26)]/[5.4000000001*10^(12)] =7.12037*10^(13) W/m^2

b> we know that I/2 = [epsilon naught|Erms|^2*c]/2

epsilon nautht = permittivity of free space = 8.854 × 10^-12 farads per meter
c = speed of light in vaccume = 3*10^(8) m/sec

=> I/2 = [epsilon naught|Erms|^2*c]/2
I = [epsilon naught|Erms|^2*c]

7.12037*10^(13) = 8.854 × 10^(-12)|E|^2*3*10^(8) = 26.562*10^(-4)|E|^2

|E|^2 = 2.68066 *10^(16)
=> E = 1.6372*10^(8) newton/Columb

c>
E²/2 = B²/2
E² = B²/
B = (E²)
and 1 / () = c (speed of light)

=> B = E/c = 1.6372*10^(8)/3*10^8 = .5457 Tesla