Begin with a single point charge and use the voltage
plotting tool to create an equipotential curve around the point
charge. Use an orange electric field sensor to investigate the
relationship between the direction of the electric field and the
orientation of the equipotential curve. Are the two parallel or
perpendicular, or do they have some other more complicated
relationship? Does this relationship hold for more complicated
arrangements of charge, dipoles, and quadrupoles?
l
Recall the definition of work: work = F∙cos(θ)∙Δx.
Work can, of course, be done not only by the force of gravity but
also by electrical forces. The definition of work done by
electrical forces is
Work = (q ∙ E) ∙ cos(θ) ∙ Displacement
Given your observations, speculate on the work
required to move a very small test charge along (parallel to) an
equipotential line.
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