### Diagram Analysis: Electric Field of a Point Charge #### Description: The diagram illustrates the electric field produced by a positive point charge. #### Components: 1. **Point Charge**: - Represented by a black dot positioned at the origin of the coordinate system. 2. **Electric Field Lines**: - One electric field line is shown emanating radially outward from the point charge. - The field line is depicted as a smooth curve starting from the point charge and extending infinitely in space. 3. **Arrow Indicator**: - Located near the point charge, an arrow points outward. - The arrow signifies the direction of the electric field, which is away from the positive charge. 4. **Dashed Line**: - The dashed horizontal line represents an arbitrary reference level, possibly the x-axis. #### Explanation: The electric field \(E\) produced by a point charge \(q\) is radially outward for a positive charge and radially inward for a negative charge. The direction of the arrow in the diagram confirms that the point charge is positive. The magnitude of the electric field at a distance \(r\) from the point charge is given by Coulomb's law: \[ E = \frac{kq}{r^2} \] where: - \(E\) is the electric field strength, - \(k\) is Coulomb's constant (\(8.99 \times 10^9 \text{ N m}^2/\text{C}^2\)), - \(q\) is the magnitude of the positive charge, - \(r\) is the distance from the charge. The diagram helps to visualize the concept that electric field lines radiate outwards from a positive charge, illustrating the field's direction and confirming Coulomb’s law.

### Diagram Analysis: Electric Field of a Point Charge #### Description: The diagram illustrates the electric field produced by a positive point charge. #### Components: 1. Point Charge: - Represented by a black dot positioned at the origin of the coordinate system. 2. Electric Field Lines: - One electric field line is shown emanating radially outward from the point charge. - The field line is depicted as a smooth curve starting from the point charge and extending infinitely in space. 3. Arrow Indicator: - Located near the point charge, an arrow points outward. - The arrow signifies the direction of the electric field, which is away from the positive charge. 4. Dashed Line: - The dashed horizontal line represents an arbitrary reference level, possibly the x-axis. #### Explanation: The electric field \(E\) produced by a point charge \(q\) is radially outward for a positive charge and radially inward for a negative charge. The direction of the arrow in the diagram confirms that the point charge is positive. The magnitude of the electric field at a distance \(r\) from the point charge is given by Coulomb's law: \[ E = \frac{kq}{r^2} \] where: - \(E\) is the electric field strength, - \(k\) is Coulomb's constant (\(8.99 \times 10^9 \text{ N m}^2/\text{C}^2\)), - \(q\) is the magnitude of the positive charge, - \(r\) is the distance from the charge. The diagram helps to visualize the concept that electric field lines radiate outwards from a positive charge, illustrating the field's direction and confirming Coulomb’s law.

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