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The average intensity of sunlight reachin the earth is1390W/m^2. A charge of 2.6

ID: 1758871 • Letter: T

Question

The average intensity of sunlight reachin the earth is1390W/m^2. A charge of 2.6*10^(-8)C is placed on the path of thiselectromagentic wave. (a) What is the magnitude of the maximumelectric force that the charge experiences? (b) If the charge ismoving at a speed of 3.7*10^4m/s, what is the magnitude of themaximum magnetic force that the charge would experience? I have an idea on how to do (b), but no clue on how to startwith A this is what i have for (b) Fb=qvB B=E/c Fe=qE So Fb=q/c(Fe) I just don't know how to find Fe, someone please help me Iwill rate well The average intensity of sunlight reachin the earth is1390W/m^2. A charge of 2.6*10^(-8)C is placed on the path of thiselectromagentic wave. (a) What is the magnitude of the maximumelectric force that the charge experiences? (b) If the charge ismoving at a speed of 3.7*10^4m/s, what is the magnitude of themaximum magnetic force that the charge would experience? I have an idea on how to do (b), but no clue on how to startwith A this is what i have for (b) Fb=qvB B=E/c Fe=qE So Fb=q/c(Fe) I just don't know how to find Fe, someone please help me Iwill rate well

Explanation / Answer

Average intensity S = 1390 W / m ^ 2 we know S = [ 1 / ( 2c ) ] E ^ 2 where c = speed of EM wave = 3 * 10 ^ 8 m / s          =permeability of free space = 4 * 10 ^ -7 H / m from this maximum electric field E = [ 2c S]                                                    = 1023.73 N / C Maximum electric force F = E q where q = charge = 2.6 * 10 ^ -8 C So, F = 2.66 * 10 ^ -5 N (b). we know maximum magnetic field B = E / c                                                              = 341.24* 10 ^ -8 T velocity v = 3.7 * 10 ^ 4 m / s So, maximum magnetic force F ' = Bvq                                                  = 3.282 * 10 ^ -9 N
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