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23 Electric Fields

23 Electric Fields. Suppose we fix a positive charge q 1 in place and then put a second positive point charge q 2 near it. Since the charges do not touch, how can q 1 exert a force on q 2 ?. 23-1 Charges and Forces:A Close Look. The question about action at a distance

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23 Electric Fields

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  1. 23 Electric Fields Suppose we fix a positive charge q1 in place and then put a second positive point charge q2 near it. Since the charges do not touch, how can q1 exert a force on q2?

  2. 23-1 Charges and Forces:A Close Look The question about action at a distance can be answered by saying that q1 sets up an electric field in the space surrounding it.

  3. 23-2 The Electric field Definition of Electric Field

  4. 23-3 Electric Field Lines Field lines originate on positive charges and terminate on negative charges.

  5. field lines for positive point charge

  6. field lines for two equal positive point charge

  7. field lines for a positive and a negative point charge that are equal in magnitude

  8. 23-4 The Electric Field Due To a Point Charge

  9. If we place a positive test charge q0 near n point charges q1,q2 ,…,qn,then,from Eq.22-7,the net force from the n point Charges acting on the test charge is

  10. Sample problem 32-2

  11. Step one:

  12. Step two: Step three:

  13. CHECKPOINT

  14. 23-5 The Electric Field Due to an Electric Dipole

  15. 23-6 The Electric Field Due to a Line of Charge

  16. If z>>R:

  17. Sample problem 23-3

  18. Step one: Step two: Step three: Step four:

  19. Step five: Step six:

  20. Step seven:

  21. 23-7 The Electric Field Due to a Charged Disk

  22. Taking the limits,we fine:

  23. If we let R→∞ while keeping z finite: This is the electric field produced by an infinite sheet of uniform charge located on one side of a nonconductor such as plastic.

  24. Field Due to a Continuous Charge Distribution The electric field due to a continuous charge distribution is found by treating charge elements as point charges and then summing,via integration the electric field vectors produced by all the charge elements.

  25. 23-8 A Point Charge in an Electric Field The electrostatic force acting on a charged particle located in an external electric field has the direction of if the charge q of the particle is positive and has the opposite direction if q is negative.

  26. Sample problem 23-4 Step one: Step two: Step three:

  27. 23-9 A Dipole in an electric Field

  28. Potential Energy of an Electric Dipole

  29. Sample problem 23-5 (a) Step one: Step two:

  30. (b) (c) 主菜单

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