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Four identical charged particles (q = +13.0 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 56.0 cm and W = 11.0 cm. Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. H W L

Four identical charged particles (q = +13.0 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 56.0 cm and W = 11.0 cm. Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. H W L

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
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**Problem Statement:** Four identical charged particles (\(q = +13.0 \, \mu C\)) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are \(L = 56.0 \, \text{cm}\) and \(W = 11.0 \, \text{cm}\). Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. **Figure:** ![Rectangle with Charged Particles](#) The rectangle with charged particles is depicted with the following points labeled: - Top-left corner: \( q \) - Top-right corner: \( q \) - Bottom-left corner: \( q \) - Bottom-right corner: \( q \) The sides of the rectangle are denoted as: - \(L\) (length) along the horizontal axis. - \(W\) (width) along the vertical axis. **Given:** - Charge on each particle, \( q = +13.0 \, \mu C \) - Length, \( L = 56.0 \, \text{cm} \) - Width, \( W = 11.0 \, \text{cm} \) **Task:** Calculate the change in electric potential energy when the particle at the lower left corner is brought from infinity to its position in the rectangle while the other three charged particles remain fixed. ### Explanation of Graph: - **Axes:** The horizontal axis is denoted as \(x\) and the vertical as \(y\). - **Charges:** Four charges \(q\) are placed at the rectangle's corners. - **Dimensions:** The length \(L\) (horizontal distance) is 56.0 cm, and the width \(W\) (vertical distance) is 11.0 cm.
Transcribed Image Text:**Problem Statement:** Four identical charged particles (\(q = +13.0 \, \mu C\)) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are \(L = 56.0 \, \text{cm}\) and \(W = 11.0 \, \text{cm}\). Calculate the change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. **Figure:** ![Rectangle with Charged Particles](#) The rectangle with charged particles is depicted with the following points labeled: - Top-left corner: \( q \) - Top-right corner: \( q \) - Bottom-left corner: \( q \) - Bottom-right corner: \( q \) The sides of the rectangle are denoted as: - \(L\) (length) along the horizontal axis. - \(W\) (width) along the vertical axis. **Given:** - Charge on each particle, \( q = +13.0 \, \mu C \) - Length, \( L = 56.0 \, \text{cm} \) - Width, \( W = 11.0 \, \text{cm} \) **Task:** Calculate the change in electric potential energy when the particle at the lower left corner is brought from infinity to its position in the rectangle while the other three charged particles remain fixed. ### Explanation of Graph: - **Axes:** The horizontal axis is denoted as \(x\) and the vertical as \(y\). - **Charges:** Four charges \(q\) are placed at the rectangle's corners. - **Dimensions:** The length \(L\) (horizontal distance) is 56.0 cm, and the width \(W\) (vertical distance) is 11.0 cm.
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