Understanding the Relationship Between Potential Energy and Direction in Fields

AI Thread Summary
The discussion centers on the relationship between potential energy and direction in fields, emphasizing that direction is not needed when calculating changes in potential energy, as it is solely dependent on height changes. However, direction is crucial when considering force, as it affects the work done. The conversation also touches on the behavior of force in relation to distance and field strength, noting that closer potential lines indicate a stronger electric field. The formula E = -dV/dx is confirmed as relevant for understanding this relationship. Overall, the relationship between potential energy, force, and field strength is clarified through examples and mathematical expressions.
Angela Liang
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Why do we not need to consider direction when determining the change in potential energy? Why do we need to consider it in case of force? Or am I interpreting the question correctly?
 

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Angela Liang said:
Why do we not need to consider direction when determining the change in potential energy?
Does it matter if you move stairs up or down if you are asked about your change in height above the ground?
Same thing here.
 
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Thanks! But why does the force increase and then decrease?
 
What is the relation between the field strength and the distance between the potential lines (in 50 V steps)?
 
mfb said:
What is the relation between the field strength and the distance between the potential lines (in 50 V steps)?
E=-dV/dx right?
 
Angela Liang said:
E=-dV/dx right?
Oh yea I got what you mean. Closer field lines means stronger field. Thanks!
 
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