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-Electric Potential Energy and Electric Potential due to Point Charges

-Electric Potential Energy and Electric Potential due to Point Charges. AP Physics C Mrs. Coyle. Electric Potential Due to a Point Charge. V abs = k Q / r. Electric Potential due to a Point Charge. The absolute potential of any position in its electric field is: V abs = k Q / r.

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-Electric Potential Energy and Electric Potential due to Point Charges

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  1. -Electric Potential Energy and Electric Potential due to Point Charges AP Physics C Mrs. Coyle

  2. Electric Potential Due to a Point Charge • Vabs = k Q / r

  3. Electric Potential due to a Point Charge • The absolute potential of any position in its electric field is: Vabs = k Q / r. • When the charge Q creating the field is positive, the potential is positive; when the central charge Q is negative, the potential is negative.  • As r  ∞ , the absolute potential is defined to be zero.

  4. Potential Difference due to a Point Charge

  5. The electric potential is independent of the path between points A and B • It is customary to choose a reference potential of V = 0 at rA = ∞ • Then the potential at some point r is

  6. Electric Potential vs Distance from a Positive Point Charge • The red line shows the 1/r nature of the potential. • If the central point charge is negative, V is negative and the graph is a hole.

  7. Electric Potential with Multiple Charges • The electric potential due to several point charges is the sum of the potentials due to each individual charge • This is an example of the superposition principle • The sum is the algebraic sum • V = 0 at r = ∞

  8. Equipotential Lines Simulation of Field with Equipotential Lines http://glencoe.mcgraw-hill.com/sites/0078458137/student_view0/chapter21/electric_fields_applet.html

  9. Graphs of V and E vs r for a point charge • E decreases more sharply

  10. Problem 1 • If the central charge was +10 mC, what is the potential at surface A whererA = 3 meters and at surface B where rB = 1 meter? • Ans: 3X10**7 V , 9X10**7 V

  11. Problem 2 Calculate the Potential and the Electric Field at the midpoint. What does this graph represent? Ans: -Net E = 2kq/r2towards the right-Net V = 0

  12. Problem Find E and V at center of square in terms of q, r.

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