(16%) Problem 4: In the gure at the right are shown two settings of positive and negative charges (labeled I and 11). Setting I has two positive charges; setting 11 has one negative charge and one positive charge. Each of the charges has the same magnitude, Q. A 13% Part (a) If one large grid box in the diagram has a magnitude d, using ED = chz/d, express the total electric potential energy of E as E = nEo where n is some dimensionless number. 5=| Grade Summary Deductions & 13% Part (b) If one large grid box in the diagram has a magnitude 0', using E0 = chZ/d, express the total electric potential energy of En as E=nEo where n is some dimensionless number. E11: H \"(I |7|sz|o| Grade Summary Deductions Potential 1000/0 Q 13% Part (c) In each setting, two positions are labeled. If a positive test charge of magnitude Q is added at each position (there is one test charge in the system at any time), rank the magnitude of the extra potential energy the charge would add to the system at each of the four places, indicating if any are 0. (Like this E=F>G>H=0). OOOOOO D=C>B=A>0 B>A>C=D>0 A>B>D>C>0 B>A>C=D=0 D>A=C>B>0 D>A=C>B=0 Grade Summary Deductions Potential 100% Submissions Attempts remaining: _ ( per attempt) detailed view Q 13% Part (e) There are two situations (I and II), two possibilities for the test charge (positive and negative), and four possible positions (A, B, C, and D). This gives 2 x 2 x 4 = 16 possibilities. At what position would the placement of a test charge result in the largest electric potential energy? 0 There are multiple locations that have the largest PE Grade-Summary O D Deductions Potential 100% O B O C Submissions 0 A Attempts remaining: _ ( per attempt) detailed view A 13% Part (f) What should the sign of the test charge added in part (e) be in order to give the largest electric PE? O Positive O The sign does not matter O Negative Submit Hint Feedback I give up!g 13% Part (9) At what position would the placement of a test charge result in the smallest electric potential energy? There are multiple locations that have the largest PE D 00000 B C A [g 13% Part (h) What should the sign of the test charge added in part (g) be in order to give the smallest electric PE? O Negative O The sign does not matter 0 Positive