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A 19-μC point charge is moving along the x-axis as shown at a speed of 16.5 × 106 m/s. The point P shown has coordinates (0.65,1.3,0) m. Note that in this figure, the z-axis is positive out of the screen. (a)  What is the x-component of the magnetic field at the point P due to the charge, in tesla?  (b)  What is the y-component of the magnetic field at the point P due to the charge, in tesla?  (c)  What is the z-component of the magnetic field at the point P due to the charge, in tesla?

A 19-μC point charge is moving along the x-axis as shown at a speed of 16.5 × 106 m/s. The point P shown has coordinates (0.65,1.3,0) m. Note that in this figure, the z-axis is positive out of the screen. (a)  What is the x-component of the magnetic field at the point P due to the charge, in tesla?  (b)  What is the y-component of the magnetic field at the point P due to the charge, in tesla?  (c)  What is the z-component of the magnetic field at the point P due to the charge, in tesla?

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  A 19-μC point charge is moving along the x-axis as shown at a speed of 16.5 × 106 m/s. The point P shown has coordinates (0.65,1.3,0) m. Note that in this figure, the z-axis is positive out of the screen.

(a)  What is the x-component of the magnetic field at the point P due to the charge, in tesla? 

(b)  What is the y-component of the magnetic field at the point P due to the charge, in tesla? 

(c)  What is the z-component of the magnetic field at the point P due to the charge, in tesla? 

### Understanding Vector Components in a 2D Coordinate System In this diagram, we have a 2D coordinate system with the x-axis and y-axis labeled. The origin point \( q \) is marked with a red dot and is labeled 'q'. - **Vector \( \mathbf{v} \)**: This vector originates from the point \( q \) and extends horizontally along the x-axis. It is represented by a blue arrow pointing to the right. - **Point \( P \)**: This point is denoted as \( P = (x_0, y_0, 0) \), implying the coordinates of point \( P \) in the 2-dimensional space where the z-coordinate is zero. Point \( P \) is marked with a black dot on the graph. - **Dashed Lines**: The figure includes horizontal and vertical dashed lines extending from point \( P \) to the x-axis and y-axis, respectively. These lines help in identifying the exact coordinates of point \( P \) by forming right angles with the axes. The diagram effectively illustrates the relationship between the origin point \( q \) and another point \( P \) in the 2D plane, accompanied by the vector \( \mathbf{v} \) starting at \( q \) and moving horizontally along the x-axis. This representation helps in understanding the positioning and vectorial relationships in the coordinate system.
Transcribed Image Text:### Understanding Vector Components in a 2D Coordinate System In this diagram, we have a 2D coordinate system with the x-axis and y-axis labeled. The origin point \( q \) is marked with a red dot and is labeled 'q'. - **Vector \( \mathbf{v} \)**: This vector originates from the point \( q \) and extends horizontally along the x-axis. It is represented by a blue arrow pointing to the right. - **Point \( P \)**: This point is denoted as \( P = (x_0, y_0, 0) \), implying the coordinates of point \( P \) in the 2-dimensional space where the z-coordinate is zero. Point \( P \) is marked with a black dot on the graph. - **Dashed Lines**: The figure includes horizontal and vertical dashed lines extending from point \( P \) to the x-axis and y-axis, respectively. These lines help in identifying the exact coordinates of point \( P \) by forming right angles with the axes. The diagram effectively illustrates the relationship between the origin point \( q \) and another point \( P \) in the 2D plane, accompanied by the vector \( \mathbf{v} \) starting at \( q \) and moving horizontally along the x-axis. This representation helps in understanding the positioning and vectorial relationships in the coordinate system.
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