# ch19 - Chapter 19 Electric Potential Energy and the...

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Chapter 19 Electric Potential Energy and the Electric Potential

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19.1 Potential Energy B A B A AB mgh mgh W GPE GPE - = - =
19.1 Potential Energy

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19.1 Potential Energy B A AB W EPE EPE - =
19.2 The Electric Potential Difference o B o A o AB q q q W EPE EPE - = The potential energy per unit charge is called the electric potential.

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19.2 The Electric Potential Difference DEFINITION OF ELECTRIC POTENTIAL The electric potential at a given point is the electric potential energy of a small test charge divided by the charge itself: o q V EPE = SI Unit of Electric Potential: joule/coulomb = volt (V) o AB o A o B A B q W q q V V - = - = - EPE EPE ( 29 o AB o q W q V - = = EPE
19.2 The Electric Potential Difference Example 1 Work, Potential Energy, and Electric Potential The work done by the electric force as the test charge (+2.0x10 -6 C) moves from A to B is +5.0x10 -5 J. (a) Find the difference in EPE between these points. (a) Determine the potential difference between these points. B A AB W EPE EPE - = o AB o A o B A B q W q q V V - = - = - EPE EPE

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19.2 The Electric Potential Difference B A AB W EPE EPE - = (a) J 10 0 . 5 EPE EPE 5 - × - = - = - AB A B W (b) V 25 C 10 2.0 J 10 0 . 5 6 - 5 - = × × - = - = - - o AB A B q W V V
19.2 The Electric Potential Difference Conceptual Example 2 The Accelerations of Positive and Negative Charges A positive test charge is released from A and accelerates towards B. Upon reaching B, the test charge continues to accelerate toward C. Assuming that only motion along the line is possible, what will a negative test charge do when released from rest at B?

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19.2 The Electric Potential Difference A positive charge accelerates from a region of higher electric potential toward a region of lower electric potential. A negative charge accelerates from a region of lower potential toward a region of higher potential.
The Electric Potential Difference We now include electric potential energy EPE as part of the total energy that an object can have: EPE kx mgh I mv E + + + + = 2 2 1 2 2 1 2 2 1 ϖ One electron volt is the magnitude of the amount by which the potential energy of an electron changes when the electron moves through a potential difference of one volt. V

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## This note was uploaded on 02/20/2010 for the course PHYSC 210 taught by Professor Uscinski during the Summer '09 term at American.

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ch19 - Chapter 19 Electric Potential Energy and the...

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