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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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.
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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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