QUESTION IMAGE
Question
electric field lines show the direction that a positive charge would experience a force in an electric field. a negative charge in an electric field would experience a force in the opposite direction of the field lines.
the model below represents the electric field around a positive ion. select the charge that will feel the strongest attraction due to the electric field.
image of electric field lines around a positive ion with several charges (positive and negative) at different positions
- First, recall the principles of electric fields and forces: Opposite charges attract, and the strength of the electric force (and thus attraction) is related to the electric field strength. The electric field lines are more concentrated (closer together) near the source charge (the positive ion here), meaning the electric field strength is greater closer to the positive ion.
- Also, the force on a charge in an electric field is \( F = qE \), where \( q \) is the charge and \( E \) is the electric field strength. For attraction, we have a negative charge (since the source is positive, opposite charges attract). Among the negative charges, the one closer to the positive ion will be in a region of stronger electric field (\( E \) is larger closer to the source). Looking at the diagram, the negative charge that is closer to the central positive ion (the pink +) will experience a stronger attraction because the electric field strength is greater near the source, and the force depends on \( E \) (and the charge magnitude, but assuming equal charge magnitudes for the negative charges here, distance from the source determines the field strength). The negative charge that is positioned closer to the central positive ion (compared to the other negative charge) will have a stronger attraction due to the stronger electric field in that region.
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The negative charge (the green \(-\)) that is closer to the central positive ion (the pink \(+\)) (visually, the one that is not as far out as the other negative charge) will feel the strongest attraction. Specifically, the negative charge that is near the central positive ion (the one with the electric field lines more densely packed around it, so the closer negative charge) is the one with the strongest attraction.