n this problem, you will be asked to use the given diagram(Figure 1) to calculat

Question

n this problem, you will be asked to use the given diagram(Figure 1) to calculate the work done by the electric field E? on a particle of charge q and see for yourself whether that work appears to be trajectory-independent. Recall that the force acting on a charged particle in an electric field is given by F? =E? q. Recall that the work W done on an object by a constant force is W=Fdcos?, where F is the magnitude of the force acting on the object, d is the magnitude of the displacement that the object undergoes, and ? is the angle between the vectors F? and d? . Consider a uniform electric field E? and a rectangle ABCD, as shown in the figure. Sides AB and CD are parallel to E? and have length L; let ? be angle BAC.

Find the amount of work WBA done by the electrostatic force on the charged particle as it moves along the straight path from B to A.

Explanation / Answer

a) Wba = Eq*L

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