24. The solar wind consists of a stream of charged particles...

24. The solar wind consists of a stream of charged particles that are mostly high energy electrons and protons flowing outward from the Sun. Near the Earth, the density of protons in the solar wind is 8.72 protons/m³, and they speed through space at 4.75×10? m/s. What is the current density of protons near the Earth? (A) 5.55×10?¹³ A/m² (B) 6.04×10?¹³ A/m² (C) 6.63×10?¹³ A/m² (D) 7.23×10?¹³ A/m² (E) 7.88×10?¹³ A/m²

Transcript

00:01 Hello students in this question we are given that there is solar wind consists of streams of charge particles that control electrons and protons so let us assume this is the sun here and we have solar winds that are emanating out of the sun so we know that there is constant solar winds that is emanating out of the sun and it is said that the solar winds the solar winds they are basically a construction of high energy so they are basically consisted of high energy protons and electrons.

00:40 So a solar wind is a constituent of high energy protons and electrons.

00:46 In a particular condition, it is given that the density of proton that is approaching the earth in this solar wind.

00:53 So we have the density of proton in a solar wind that is approaching the earth is equal to 8 .72 proton.

01:07 Per meter cube and the speed of proton that is speed of proton is given to be equal to 4 .75 4 .75 multiplied by 10 to the power 5 meter per second and we need to calculate what is the current density of proton current density of proton that is approaching towards the earth so we are already provided what is with the number density of proton and we are provided with the velocity with which the protons are traveling and we need to find out what is the current density of proton.

01:47 Current density of proton we need to find out and this would be simply equal.

01:56 So if we want to find out this, this would simply be equal to the velocity of protons so that is equal to v proton multiplied by the charge density, the charge density of proton.

02:09 What is the density of charge that the proton constitutes within the given sphere? now we are already provided with the density in terms of number, the density of proton, in terms of number is equal to 8 .72 protons per meter cube...

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