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Chapter 26, Problem 012 Near Earth, the density of protons in the solar wind (a

ID: 1629134 • Letter: C

Question

Chapter 26, Problem 012 Near Earth, the density of protons in the solar wind (a stream of particles from the Sun) is 12.1 cm-3, and their speed is 559 km/s. (a) Find the current density of these protons. (b) If Earth's Near Earth, the density of protons in the solar wind (a stream of particles from the Sun) is 12.1 cm , and their speed is 559 km/s. (a) Find the current density of these protons. (b) If Earth's magnetic field did not deflect the protons, what total current Earth receive? (a) Number (b) Number Units SE Units

Explanation / Answer

A.

Current density is given by:

J = q*d*V

q = 1.6*10^-19

d = density of proton = 12.1 protons/cm^3 = 12.1*10^6 protons/m^3

V = 559 km/sec = 559000 m/sec

So,

J = 1.6*10^-19*12.1*10^6*559000

J = 1.082*10^-6 A/m^2

B.

J = i/A

i = J*A

A = pi*Re^2

i = 1.082*10^-6*pi*(6.37*10^6)^2

i = 1.379*10^8 Amp.

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