!Please provide a brief justification for your answer, thanks! Wednesday Homewor

Question

!Please provide a brief justification for your answer, thanks!

Wednesday Homework Problem 3.2 Consider the electric field map drawn to the below. Compare the size and direction of the electric field at points D and E. Select One of the Following (a) approximately equal magnitude and same direction (b) approximately equal magnitude and opposite direction (c) opposite direction and the magnitude at D is larger (d) opposite direction and the magnitude at E is larger (e) same direction and the magnitude at D is larger (f) same direction and the magnitude at E is larger

Explanation / Answer

Option (c) is correct.

The direction of the electric field at any point is given by the direction of the tangent to the field lines at that point. Clearly the tangents to the field lines at points D and E are in the opposite direction and therefore so is the electric field.

The intensity of the electric field near any point is given by the density of field lines around that point. Clearly the field lines are more dense near point D and therefore the magnitude of the electric field is larger at point D.

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