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Finding the Potential from the Electric Field The potential difference between two points in space is where s is the position along a line from point i to point f. That is, we can find the potential difference between two points if we know the electric field. We can think of an integral as an area under a curve. Thus a graphical interpretation of the equation above is Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 30.2 The potential of a parallelplate capacitor Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 30.2 The potential of a parallelplate capacitor Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 30.2 The potential of a parallelplate capacitor Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Finding the Electric Field from the Potential In terms of the potential, the component of the electric field in the s-direction is Now we have reversed Equation 30.3 and have a way to find the electric field from the potential. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 30.4 Finding E from the slope of V QUESTION: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. EXAMPLE 30.4 Finding E from the slope of V Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Exam 1 Review • Test bank of problems for exam are posted on schedule • There will be conceptual questions • Conceptual questions from the end of chapters 26-30 • Solutions will be posted by Friday-Saturday • # in problems will be different • Same grading as HW Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Group Problems • Start Ch 29 and Ch 30 HW • HW is due SUNDAY night – not Monday night!!!! Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.