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Principles of Physics 11th ISV Edition · Current and Resistance · Problem 8
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Walker, Halliday & Resnick — Current and Resistance: Problem 8

8 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 640 cm$^{-3}$, to drift downward and singly charged negative ions, at a density of 550 cm$^{-3}$, to drift upward (Fig. 26-17). The measured conductivity of the air in that region is $2.70 \times 10^{-14} (\Omega \cdot m)^{-1}$. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.

📝 Solution Approach

Given: . In, 120 V, 640 cm, 550 cm

Find: (a) the magnitude of the current density and; (b) the ion drift speed

This problem covers key concepts in Current and Resistance from Principles of Physics 11th ISV Edition by Walker, Halliday & Resnick. The step-by-step solution involves applying fundamental principles and systematic analysis to arrive at the correct answer. Full solution available with a Solution Pass.

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📘 About This Textbook

Principles of Physics · 11th ISV Edition
Author: Walker, Halliday & Resnick
Publisher: Wiley
Chapter: Current and Resistance