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Force on a charge obtained from electric potential

  1. Sep 16, 2015 #1
    1. The problem statement, all variables and given/known data


    In a certain region of space, the electric potential along the x-axis is given by:

    V = 111x3 - 517x - 258 where V is in Volts and x is in meters.

    Find the force F (magnitude in N and direction) felt by a -444 μC point charge at point (56.5 cm,0). (For direction, all you need is the sign.)


    2. Relevant equations
    E=dV/dx
    F=qE

    3. The attempt at a solution

    dV/dx=d/dx(111x3-517x-258=333x2-517-258=E

    ⇒ E(0.565m)=-668.7 N/C

    ⇒F=qE=(-444*10-6)*(-668.7)≅0.297

    The answer turned out to be wrong so if someone can give me a hint towards where my mistakes are I would greatly appreciate it!
     
  2. jcsd
  3. Sep 16, 2015 #2

    Orodruin

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    What is the derivative of 258 with respect to x?
     
  4. Sep 16, 2015 #3
    Thanks!
     
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