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For a system of charges shown in figure find  a) electric field vector magnitude and direction at point C  b) potential difference between c and b c) minimum work necessary to move +1uc charge from the point b to the point c

For a system of charges shown in figure find  a) electric field vector magnitude and direction at point C  b) potential difference between c and b c) minimum work necessary to move +1uc charge from the point b to the point c

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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For a system of charges shown in figure find 

a) electric field vector magnitude and direction at point C 

b) potential difference between c and b

c) minimum work necessary to move +1uc charge from the point b to the point c 

The image presents a diagram of two point charges and their spatial arrangement in a coordinate system. Below is a detailed transcription and explanation suitable for an educational website: --- ### Diagram of Point Charges in a Coordinate System #### Description: The diagram displays two point charges, \(Q_1\) and \(Q_2\), and their positions in relation to each other on a coordinate plane. #### Details: - **Coordinates and Values of Charges:** - \(Q_1\) is positioned at the point where it intersects the x-axis, with a coordinate \( (0, 0) \). - The charge \(Q_1 = 6\, \text{nC}\) (nanocoulombs). - \(Q_2\) is positioned directly above \(Q_1\) on the y-axis. - The charge \(Q_2 = -3\, \text{nC}\) (nanocoulombs). - **Distances:** - The distance between \(Q_1\) and \(Q_2\) along the y-axis is \(4\, \text{m}\) (meters). - There is a horizontal distance of \(7\, \text{m}\) from \(Q_1\) to point \(B\) along the x-axis. - **Labels and Axes:** - The x-axis is denoted by the line passing through \(B\) and \(Q_1\). - Point \(C\) lies vertically above point \(B\) and directly to the right of \(Q_2\), forming the right angle of a rectangle with \(Q_1\), \(Q_2\), \(B\), and \(C\) as vertices. - The arrangement forms a rectangle with \(Q_1\) and \(Q_2\) aligned along one side. ### Applications: This type of diagram is common in electrostatics for visualizing the arrangement of point charges, calculating electric fields, and understanding the forces between charges. --- This transcription includes detailed information and interpretations to provide context and enhance comprehension of the diagram.
Transcribed Image Text:The image presents a diagram of two point charges and their spatial arrangement in a coordinate system. Below is a detailed transcription and explanation suitable for an educational website: --- ### Diagram of Point Charges in a Coordinate System #### Description: The diagram displays two point charges, \(Q_1\) and \(Q_2\), and their positions in relation to each other on a coordinate plane. #### Details: - **Coordinates and Values of Charges:** - \(Q_1\) is positioned at the point where it intersects the x-axis, with a coordinate \( (0, 0) \). - The charge \(Q_1 = 6\, \text{nC}\) (nanocoulombs). - \(Q_2\) is positioned directly above \(Q_1\) on the y-axis. - The charge \(Q_2 = -3\, \text{nC}\) (nanocoulombs). - **Distances:** - The distance between \(Q_1\) and \(Q_2\) along the y-axis is \(4\, \text{m}\) (meters). - There is a horizontal distance of \(7\, \text{m}\) from \(Q_1\) to point \(B\) along the x-axis. - **Labels and Axes:** - The x-axis is denoted by the line passing through \(B\) and \(Q_1\). - Point \(C\) lies vertically above point \(B\) and directly to the right of \(Q_2\), forming the right angle of a rectangle with \(Q_1\), \(Q_2\), \(B\), and \(C\) as vertices. - The arrangement forms a rectangle with \(Q_1\) and \(Q_2\) aligned along one side. ### Applications: This type of diagram is common in electrostatics for visualizing the arrangement of point charges, calculating electric fields, and understanding the forces between charges. --- This transcription includes detailed information and interpretations to provide context and enhance comprehension of the diagram.
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