How can the current density and magnetic field affect Earth's total current?

AI Thread Summary
The discussion centers on calculating the current density of protons in the solar wind and determining the total current Earth would receive if its magnetic field did not deflect them. The current density of protons is calculated to be 6.74E-7 A/m^2. A key point of confusion arises regarding the appropriate surface area to use for Earth—whether to use the total surface area or the cross-sectional area that interacts with the solar wind. Participants clarify that the cross-sectional area, which is a circle with Earth's radius, is needed for the calculation. Accurate identification of the surface area is crucial for determining the total current Earth would receive from the solar wind.
juggalomike
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Homework Statement


Near Earth, the density of protons in the solar wind (a stream of particles from the Sun) is 8.60 cm-3 and their speed is about 490 km/s.
(a) Find the current density of these protons.
6.74E-7 A/m^2
(b) If Earth's magnetic field did not deflect the protons, what total current would Earth receive?


Homework Equations


J=I/A


The Attempt at a Solution


Using the equation above i used J*A=I, the problem is the area is used for the Earth is apparently wrong(as i know my J is correct), so i looked online for it again and found 2 more answers(all the same numbers but to different powers of 10). Anyone know the actual surface area of the earth?(i would try plugging on all the ones i find but I am limited on attempts for this question and i already used 2/5 of my tries)
 
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All those protons will reach the Earth which are in the beam of cross-section equal to that of the Earth.

ehild
 
What surface area do you need, the sphere or crossection?
 
Lok said:
What surface area do you need, the sphere or crossection?

id assume surface, what is corssection?
 
juggalomike said:
id assume surface, what is corssection?

There is the surface of the earth, which is somewhat a sphere or it's crossssection or the surface the electrons hit, so the area of a circle with the radius of earth. Which one have you been looking for and which one do you need?
 
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