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Example: Potential Difference of Point Charges

Example: Potential Difference of Point Charges Consider a point charge q . What is the potential difference between point x 1 and point x 2 ?. q. x 1. x 2. D V depends on starting, ending point:. Potential Difference and Potential of Point Charge Can check all cases:

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Example: Potential Difference of Point Charges

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  1. Example: Potential Difference of Point Charges Consider a point charge q. What is the potential difference between point x1 and point x2? q x1 x2 DV depends on starting, ending point:

  2. Potential Difference and Potential of Point Charge Can check all cases: q positive or negative; r1 > r2 or r2 >r1; 12 or 21 q r1 r2 HAVE to talk about potential DIFFERENCE; One exception: Potential of point charge WITH RESPECT TO INFINITY

  3. q b a ConcepTest #9: Consider the positive point charge shown in the figure. What is the potential difference going from point A at distance a to point B at distance b? B A +

  4. d ConcepTest #10: Consider four identical point charges –q arranged at the corners of a square of side length d as shown in the figure. What is the electric potential at the center of the square (relative to infinity)? - - d - -

  5. b a Example: Spherical Conductor, Field, Potential Consider a thick neutral spherical conducting shell with inner radius a and outer radius b. A positive point charge Q is at the center of the shell, as shown. 1) Write down the electric field in the regions i) r < a ii) a < r <b iii) r > b 2) Set the potential at r = ∞ to zero. Determine the electric potential in the regions i) r > b ii) a < r <b iii) r < a

  6. + + + + + + Current : “conventional current”  motion of positive charge Electron current  motion of negative charge Assume electric field in wire (or circuit element) is constant, then: Current, Potential Difference, and Electric Field in Conductors (?) Current: motion of charge (“charge flow”). Amount of charge that passes a point (or through a cross sectional area) in some amount of time. How can there be electric field in conductor? If electric field in conductor, why don’t charges accelerate?

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