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The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 298 m the field has magnitude 82.8 N/C; at an altitude of 229 m, the magnitude is 118 N/C. Find the net amount of charge contained in a cube 69 m on edge, with horizontal faces at altitudes of 229 m and 298 m.

The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 298 m the field has magnitude 82.8 N/C; at an altitude of 229 m, the magnitude is 118 N/C. Find the net amount of charge contained in a cube 69 m on edge, with horizontal faces at altitudes of 229 m and 298 m.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Net Charge Calculation in Earth's Atmosphere **Problem Statement:** The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 298 m, the field has a magnitude of 82.8 N/C. At an altitude of 229 m, the magnitude is 118 N/C. Find the net amount of charge contained in a cube with a 69 m edge, with horizontal faces at altitudes of 229 m and 298 m. **Solution Requirements:** 1. **Calculate the Volume of the Cube:** - Edge length of the cube = 69 m 2. **Electric Field At Altitudes:** - At 298 m: 82.8 N/C - At 229 m: 118 N/C 3. **Net Charge Calculation:** - You are required to calculate the net amount of charge using the provided variables. **Input Fields:** - **Number:** Enter your calculated charge amount. - **Units:** Select appropriate units (N/C or V/m). **Assistance:** Use the provided electric field magnitudes and the given dimensions to solve for the net charge. Remember to apply Gauss's Law if necessary for this scenario. --- In the real educational content, detailed methods and step-by-step calculation might also be provided to assist the student in understanding how to solve such problems using physics concepts and equations relevant to electric fields and charge.
Transcribed Image Text:### Net Charge Calculation in Earth's Atmosphere **Problem Statement:** The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 298 m, the field has a magnitude of 82.8 N/C. At an altitude of 229 m, the magnitude is 118 N/C. Find the net amount of charge contained in a cube with a 69 m edge, with horizontal faces at altitudes of 229 m and 298 m. **Solution Requirements:** 1. **Calculate the Volume of the Cube:** - Edge length of the cube = 69 m 2. **Electric Field At Altitudes:** - At 298 m: 82.8 N/C - At 229 m: 118 N/C 3. **Net Charge Calculation:** - You are required to calculate the net amount of charge using the provided variables. **Input Fields:** - **Number:** Enter your calculated charge amount. - **Units:** Select appropriate units (N/C or V/m). **Assistance:** Use the provided electric field magnitudes and the given dimensions to solve for the net charge. Remember to apply Gauss's Law if necessary for this scenario. --- In the real educational content, detailed methods and step-by-step calculation might also be provided to assist the student in understanding how to solve such problems using physics concepts and equations relevant to electric fields and charge.
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