Lectures on Physics has been derived from Benjamin Crowell's Light and Matter series of free introductory textbooks on physics. See the editorial for more information.... 
Home Electricity Fields of Force Voltage for Nonuniform Fields  
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Voltage for Nonuniform FieldsThe calculussavvy reader will have no difficulty generalizing the field voltage relationship to the case of a varying field. The potential energy associated with a varying force is
so for electric fields we divide by q to find
Applying the fundamental theorem of calculus yields


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