A particle moves from an initial point, i, to a final point, f, in each of the f

Question

A particle moves from an initial point, i, to a final point, f, in each of the following cases a-d. Is its change in electric potential energy, Delta U, positive, negative or zero? The particle is shown above the diagram as either an electron e- or a proton p+. Fixed charges are shown as + or -. Equipotential lines are drawn for a dipole, charges +q and -q. Copy the diagram and mark on your copy, a point P where V = 0, and show the direction of the electric field at that point. Mark on your diagram, a point X, where the field direction points NW (where north is up the page).

Explanation / Answer

4. Potantial energy us work done in moving a charge between two points.

(a) If proton moves from negative charge to positive charged region, we should more work on the system, thus, the potential energy is positive

(b) Arrow marks indicates field lines due to two positive chages separted at some distance. Between the lines, the net potental is zero. Becasue electron is equally repelled by two postive charges.

(c) In midway of the plates, the net force on in the direction of i to f is zero. Net work done is zero

(d) generally electron moves opposite to the field. In this case, electrons moves in the same direction of field. Thus, the work done is postive.

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