Earth’s lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically down.This field causes singly charged positive ions, at a density of 620 cm3, to drift downward and singly charged negative ions, at a density of 550 cm3, to drift upward. The measured conductivity of the air in that region is 2.70 * 10-14 (ohmm)-1. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.

Earth’s lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically down.This field causes singly charged positive ions, at a density of 620 cm3, to drift downward and singly charged negative ions, at a density of 550 cm3, to drift upward. The measured conductivity of the air in that region is 2.70 * 10-14 (ohmm)-1. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 69PQ

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

Earth’s lower atmosphere contains negative and positive
ions that are produced by radioactive elements in the soil
and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically
down.This field causes singly charged positive ions, at a density
of 620 cm3, to drift downward and singly charged negative
ions, at a density of 550 cm3, to drift upward. The
measured conductivity of the air in that region is 2.70 * 10-14
(ohmm)-1. Calculate (a) the magnitude of the current density and
(b) the ion drift speed, assumed to be the same for positive and
negative ions.

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