Work required to move the charge

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To calculate the work required to move a 2.0 pico C charge from point A to points B and C, the relevant equations include W = FDCosTheta and the electric force equation F = K(q1q2/r^2). For point B, located on the same spherical surface, the work can be determined using the electric potential difference, while for point C, the radial distance change must be considered. The discussion also suggests that if electric potential or voltage has been covered, it could simplify the calculations. The spherical surfaces can be described as equipotential surfaces due to their uniform electric potential.
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Homework Statement


a 2.0 pico C charge is locted at point A on an imaginary spherical surface which is centre on a 4.0 micro C point charge 2.8 cm away . How much work is required to move the 2.0 pico C charge to the following two points?

a) to point B, which is located on the same spherical surface an arc length of 3.0 cm away
b) to point C, which is located radially outward from A on another imaginary spherical surface of radius 4.2 cm.
c)what name could be used to describe these spherical surfaces?

Homework Equations


I have no Idea but since the question is looking for work, I am assuming this equation must be used
W= FDCosTheta
Electric force equation? FQ=K(q1q2/r^2)
 
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In your course, have they discussed electric potential or voltage yet? If so, that would be a "shortcut" to solving this problem.

If not then you'll have to use the equations for work and force to solve it.
 

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