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1. For a system of charges shown in Figure find a) electric field vector (magnitude and direction) at point C b) potential difference between points C and B c) minimum work necessary to move a +1μC charge from the point B to the point C лу 4m Q=-3nC 9.-6nc 7m B

1. For a system of charges shown in Figure find a) electric field vector (magnitude and direction) at point C b) potential difference between points C and B c) minimum work necessary to move a +1μC charge from the point B to the point C лу 4m Q=-3nC 9.-6nc 7m B

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### Problem Statement For a system of charges shown in Figure, find: a) The electric field vector (magnitude and direction) at point \( C \). b) The potential difference between points \( C \) and \( B \). c) The minimum work necessary to move a +1µC charge from point \( B \) to point \( C \). ### Figure Explanation The diagram provided illustrates a setup with two charges and specific distances between the points of interest: - There are two charges: - \( Q_1 = +6 \text{ nC} \) is positioned 4 meters below the origin (on the \( y \)-axis). - \( Q_2 = -3 \text{ nC} \) located at the origin of the coordinate system (intersection of the \( x \) and \( y \) axes). - Point \( B \) is situated 7 meters to the right along the \( x \)-axis. - Point \( C \) is 7 meters to the right along the \( x \)-axis and 4 meters up along the \( y \)-axis relative to the origin. ### Notation - \( Q_1 \) and \( Q_2 \) are the charges located at specific points. - \( B \) and \( C \) are two distinct points where computations are required. - \( (\vec{E}_C) \) denotes the electric field at point \( C \). Feel free to reach out for further assistance on the steps involved in solving these problems!
Transcribed Image Text:### Problem Statement For a system of charges shown in Figure, find: a) The electric field vector (magnitude and direction) at point \( C \). b) The potential difference between points \( C \) and \( B \). c) The minimum work necessary to move a +1µC charge from point \( B \) to point \( C \). ### Figure Explanation The diagram provided illustrates a setup with two charges and specific distances between the points of interest: - There are two charges: - \( Q_1 = +6 \text{ nC} \) is positioned 4 meters below the origin (on the \( y \)-axis). - \( Q_2 = -3 \text{ nC} \) located at the origin of the coordinate system (intersection of the \( x \) and \( y \) axes). - Point \( B \) is situated 7 meters to the right along the \( x \)-axis. - Point \( C \) is 7 meters to the right along the \( x \)-axis and 4 meters up along the \( y \)-axis relative to the origin. ### Notation - \( Q_1 \) and \( Q_2 \) are the charges located at specific points. - \( B \) and \( C \) are two distinct points where computations are required. - \( (\vec{E}_C) \) denotes the electric field at point \( C \). Feel free to reach out for further assistance on the steps involved in solving these problems!
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