TIPERS D1-RT57: NEAR A POINT CHARGE-ELECTRIC POTENTIAL AT THREE-DIMENSIONAL LOCA

Question

TIPERS D1-RT57: NEAR A POINT CHARGE-ELECTRIC POTENTIAL AT THREE-DIMENSIONAL LOCATIONS There is a positive point charge +q located at (0, 0, 0) as shown in the three-dimensional region below. Within that region are points located on the corners of a cube as shown. 19 "D y Rank the electric potential at the labeled points. OR 45A Al Cannot Least the same eero determine Greatest Explain your reasoning, D1-RT58: TWO ELECTRIC CHARGES-ELECTRIC POTENTIAL In each figure, two charges are fixed in place on a grid, and a point near those particles is labeled P. All of the charges are the same size. Q, but they can be either positive or negative. +0 P +Q +Q P Rank the strength (magnitude) of the electric potential at point P. OR All the same zero All Cannot determine Greatest Explain your reasoning. Copyright © 2015 Pearson Education, Inc. 310

Explanation / Answer

Solution (D1-RT58)

Let us go to the basics first.

We know that electric potential V due to a charge Q is given by:

V = kQ/r

So, Electric potential in figure (A) is :

V = -kQ/r + (-kQ/r) = -2kQ/r

Electric potential in figure (B) is :

V = kQ/2r + (-kQ/r) = -kQ/2r

Electric potential in figure (C) is :

V = kQ/r + (-kQ/r) = 0

Electric potential in figure (D) is :

V = kQ/r + (kQ/2r) = 3kQ/2r

Thus, Ranking the strength(magnitude) of electric potential:

[As we are considering the magnitude (as suggested in the question), so we will not bother about the negative sign associated with the potential calculated above.]

A > D > B > C (order Greatest to least) (Answer)

Thanks!!!

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