5.2.2SuperpositionJust like the electric field, the electric potential obeys the law of superposition. This means thatif we have multiple point charges, we can simply add up the potential due to each of them to findthe overall potential. Notice that since the potential is a scaler and not a vector, we do not have tobother breaking it up into components to sum it up as we do with the electric field. Also, similarto the electric field, we can break a continuous object down into differential pieces of charge andsum up the contributions to the potential via integration.V=ZdV=14π0Zdqr(15)This is extraordinarily useful because we do not have to concern ourselves whit the vectornessof the electric field, but we can still calculate the field for complex objects.5.3Calculating the Field from the PotentialThe one missing piece (and one of the most important ones) is how we can connect the potentialback to the electric field. Lets address that now. Recall that the fundamental theorem of calculusrelates the concepts of integration and differentiation. Hence, from equation 14 we should expect
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