(a) Suppose the particle in Figure 25.4 moves along the (x) axis from point (mathrm{A}) at (x=x_{mathrm{A}})...

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(a) Suppose the particle in Figure 25.4 moves along the \(x\) axis from point \(\mathrm{A}\) at \(x=x_{\mathrm{A}}\) to point \(\mathrm{B}\) at \(x=x_{\mathrm{B}}\). How much work is done by the electric field \(\vec{E}\) on it?

(b) Suppose now that an external agent moves the particle back from B to A, starting and ending at rest as shown in Figure 25.5. How much work does the electric field do on the particle as it is moved?

(c) How much work does the agent do on the particle while it is moved?

(d) What is the combined work done by the agent and by the electric field on the particle as it is moved?

(e) Draw an energy diagram to illustrate the energy changes of the particle as the agent moves it from B to A.

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