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A charge of +8.0 mC is moved through a uniform electric field of 20 V/m. The electric field lines are horizontal and point to the left. Calculate the work done along path JKLM, where J to K is 2m to t

Physics

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Step-by-step solution

2 steps
  1. Identify the given values.

    The uniform electric field strength is E=20 V m−1E = 20 \text{ V m}^{-1}.
    The charge being moved is q=+8.0 mC=+8.0×10−3 Cq = +8.0 \text{ mC} = +8.0 \times 10^{-3} \text{ C}.
    The electric field lines are horizontal and point to the left.

  2. Determine the work done along each segment of the path JKLM.

    The work done by a uniform electric field on a charge qq is given by W=qE⃗⋅d⃗W = q \vec{E} \cdot \vec{d}, where d⃗\vec{d} is the displacement vector. This can also be written as W=qEdcos⁡θW = q E d \cos\theta,

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