In a region of space there are several stationary chargedobjects. Along a path f

Question

In a region of space there are several stationary chargedobjects. Along a path from A - B - C - D as shown in thefigure below, you measure the following potentialdifferences: (b) Which of the following concept(s) are important in findingthe answer to part (a)?             a.The potential near a negative point charge is negative.             b.The sum of the potential differences along a round-trip path mustbe zero.             c.Change in potential energy = qV.             d.The potential inside a metal at equilibrium is constant.             e.The potential near a point charge is proportional to 1/r.

Explanation / Answer

(b) Which of the following concept(s) are important in findingthe answer to part (a)?             a.The potential near a negative point charge is negative.             b.The sum of the potential differences along a round-trip path mustbe zero.             c.Change in potential energy = qV.             d.The potential inside a metal at equilibrium is constant.             e.The potential near a point charge is proportional to 1/r. . Think of potentials like altitude... that is, changes inpotential are like going up and down from one location toanother. . So in this case you go...   from A to B,  up 8 .    from B to C    down 2 .    from C to D      down13 . Now where are you, compared to A? You went  8 - 2 - 13  =     - 7 . At D you are down 7, or 7 below A. This means to go fromD to A you must go up 7, so .     VA - VD  =   7 V             and notice that   8 - 2 - 13 + 7 = 0

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