Consider a point charge +Q, that is held fixed at (L, 0). Anothercharge -2Q is brought from infinity to (0, L). We have the option to slowly drag the negativecharge along four polygonal paths (I, II, III, and IV), whose respective vertices are listed below:1. (0, L) → (L, L) → (2L, 0)II. (0, L) → (–L,0) → (-L, –L)III. (0, L) → (–L, L) → (-L, 2L)IV. (0, L) → (L, 2L) → (2L, 2L)Which path corresponds to the least work done against the electric field?O A. IO B. IIC. IIO D. IV

Solution: Consider the following diagram:

Consider a point charge +Q, that is held fixed at (L, 0). Another charge –2Q is brought from infinity to (0, L). We have the option to slowly drag the negative charge along four polygonal paths (1, II, II, and IV), whose respective vertices are listed below: 1. (0, L) → (L, L) → (2L, 0) II. (0, L) → (-L,0) → (-L, –L) II. (0, L) → (-L, L) → (-L,2L) IV. (0, L) → (L, 2L) → (2L, 2L) Which path corresponds to the least work done against the electric field? O A. I O B. II О С. II O D. IV

Consider a point charge +Q, that is held fixed at (L, 0). Another charge –2Q is brought from infinity to (0, L). We have the option to slowly drag the negative charge along four polygonal paths (1, II, II, and IV), whose respective vertices are listed below: 1. (0, L) → (L, L) → (2L, 0) II. (0, L) → (-L,0) → (-L, –L) II. (0, L) → (-L, L) → (-L,2L) IV. (0, L) → (L, 2L) → (2L, 2L) Which path corresponds to the least work done against the electric field? O A. I O B. II О С. II O D. IV

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 68PQ: Examine the summary on page 780. Why are conductors and charged sources with linear symmetry,...

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