In the lower atmosphere of the Earth there are negative and positive ions, creat

Question

In the lower atmosphere of the Earth there are negative and positive ions, created by indicated electron in the soil and console rays from space. Suppose that at a certain time in certain region of the atmosphere, the atmospheric electric field strength is 1120 V/m, directed vertically down. Due to this field, singly charged positive ions, 7100 cm^2, dirt downward and singly charged negative ions, 2150/cm^3 upward. The measured conductivity is 5.70 Times 10^-14 (ohm-m)^-1. Calculate the ion drift signal. Assuming the same speed for positive and negative ions. Answer: 4.58 Times 10^(-2) m/s 7.3 Times 10^(-1) m/s 5.91 Times 10^(-4) m/s 5.08 Times 10^(-2) m/s 8.80 Times 10^(1) m/s.

Explanation / Answer

Given that

The electric field strength is (E) =1120V/m

The conductivity (singam) =5.70*10-14(ohm-m)-1

Now the current desnity is given by (J) =Sigma*E =(1120V/m)(5.70*10-14(ohm-m)-1)=6.384*10-11A/m2

Now the drift velocity is (vd) =J/ne

Now total n =7600+2650=10,250*106m3

Now the drift speed is given by

Vd =J/ne =6.384*10-11A/m2/10,250*106m3*1.6*10-19C =3.892*10-2m/s=0.03892m/s

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