Two infinite nonconducting plates are parallel to each other, with a distance d = 12.0 cm between them. Each plate carries a uniform charge distribution with the surface charge density o=4.28 μ C/m². What is the magnitude of the electric field at point R (with r = 17.0 cm)?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 62P
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**Problem Statement:**

Two infinite nonconducting plates are parallel to each other, with a distance \( d = 12.0 \: \text{cm} \) between them. Each plate carries a uniform charge distribution with the surface charge density \( \sigma = 4.28 \: \mu \text{C/m}^2 \). What is the magnitude of the electric field at point \( R \) (with \( r = 17.0 \: \text{cm} \))?

**Figure Description:**

The diagram shows two infinite parallel plates, each with surface charge density \( \sigma \). The distance between the plates is labeled \( d \). Point \( R \) is located at a horizontal distance \( r \) from the left plate, and a variable \( x \) is present along the horizontal axis.

**Options:**

- \( 0.00 \: \text{N/C} \)
- \( 4.84 \times 10^5 \: \text{N/C} \)
- \( 5.80 \times 10^5 \: \text{N/C} \)
- \( 3.87 \times 10^5 \: \text{N/C} \)
- \( 3.39 \times 10^5 \: \text{N/C} \)

In the diagram provided:
- \( d \) represents the distance between the plates (12.0 cm).
- \( r \) represents the distance of point \( R \) from the left plate (17.0 cm).
Transcribed Image Text:**Problem Statement:** Two infinite nonconducting plates are parallel to each other, with a distance \( d = 12.0 \: \text{cm} \) between them. Each plate carries a uniform charge distribution with the surface charge density \( \sigma = 4.28 \: \mu \text{C/m}^2 \). What is the magnitude of the electric field at point \( R \) (with \( r = 17.0 \: \text{cm} \))? **Figure Description:** The diagram shows two infinite parallel plates, each with surface charge density \( \sigma \). The distance between the plates is labeled \( d \). Point \( R \) is located at a horizontal distance \( r \) from the left plate, and a variable \( x \) is present along the horizontal axis. **Options:** - \( 0.00 \: \text{N/C} \) - \( 4.84 \times 10^5 \: \text{N/C} \) - \( 5.80 \times 10^5 \: \text{N/C} \) - \( 3.87 \times 10^5 \: \text{N/C} \) - \( 3.39 \times 10^5 \: \text{N/C} \) In the diagram provided: - \( d \) represents the distance between the plates (12.0 cm). - \( r \) represents the distance of point \( R \) from the left plate (17.0 cm).
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