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Why is electric field intensity a vector?
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The electric field intensity is a vector because it represents both the magnitude (strength) and the direction of the force that would act on a charged particle placed at a point in space.

To break it down:

  1. Magnitude: The electric field at a point tells you how strong the electric force would be on a test charge placed at that point. This strength is related to the charge that is creating the field and the distance from it.

  1. Direction: The direction of the electric field is important because it indicates the direction in which a positive test charge would move if placed in that field. For example, a positive charge would move away from another positive charge (because like charges repel), while it would be attracted to a negative charge.

Since both magnitude and direction are required to describe the electric field completely, the electric field is represented as a vector. The vector points in the direction a positive test charge would move, and its length indicates the field's strength at that point.

In short, the electric field is a vector because it needs to describe both the strength and the direction of the force on a charge, making it a full, two-dimensional quantity.
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