In each of the cases below, four charges are fixed in place as shown. The grid spacing is d and is identical in each case. The magnitudes of the charges are all the same (Q), the signs of the charges are indicated explicitly in the diagram. (B) (C) a) (A) Id- T d THO (D) +Q (E) (F) -Q +Q -Q Rank these cases according to the electric potential at the center of the charges (marked with an "x"). Consider negative potentials as "smaller" than zero. If any cases have the same potential, or if the potential in any case is zero, state so explicitly. Explain your reasoning.

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Chapter1: Units, Trigonometry. And Vectors
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In each of the cases below, four charges are fixed in place as shown. The grid
spacing is d and is identical in each case. The magnitudes of the charges are all the same (Q), the
signs of the charges are indicated explicitly in the diagram.
(B)
(C)
a)
(A) Id-
T
d
THO
(D)
+Q
(E)
(F)
-Q
b)
You add a single charge q to the top-right corner in case B,
as shown at right. With this extra charge the potential at the center is
now zero. Determine the sign of the charge, and its magnitude in terms +Q
of Q. Show your work and explain your reasoning.
+Q
-Q
Rank these cases according to the electric potential at the center of the charges
(marked with an "x"). Consider negative potentials as "smaller" than zero. If any cases have
the same potential, or if the potential in any case is zero, state so explicitly. Explain your
reasoning.
-0%
-Q
Transcribed Image Text:In each of the cases below, four charges are fixed in place as shown. The grid spacing is d and is identical in each case. The magnitudes of the charges are all the same (Q), the signs of the charges are indicated explicitly in the diagram. (B) (C) a) (A) Id- T d THO (D) +Q (E) (F) -Q b) You add a single charge q to the top-right corner in case B, as shown at right. With this extra charge the potential at the center is now zero. Determine the sign of the charge, and its magnitude in terms +Q of Q. Show your work and explain your reasoning. +Q -Q Rank these cases according to the electric potential at the center of the charges (marked with an "x"). Consider negative potentials as "smaller" than zero. If any cases have the same potential, or if the potential in any case is zero, state so explicitly. Explain your reasoning. -0% -Q
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