ET3-RT6: CHARGED RODS AND POINT CHARGES-FORCE In each case A-D, a point charge +

Question

ET3-RT6: CHARGED RODS AND POINT CHARGES-FORCE In each case A-D, a point charge +q is fixed in place as well as some other point charges or charged rods. e0 The charged insulating rod in case A has a length x and a charge +20 distributed uniformly along it. The charged insulating rod in case D is an arc of radius y, and has a charge +20 distributed uniformly along it. Rank the magnitude of the electric force on t due to the other charges in each case Greatest l +20 0+20 4 Least OR, the electric force on +q is the same for all four cases. OR, the ranking for the electric force on+q cannot be determined Carefully explain your reasoning

Explanation / Answer

The charges on the rod will be uniformly distrbuted. So the force between Q and +2Q cab be found by integrating over the length of the rod.

clearly in C, the distance between Q and 2Q is minimum of all so it will have largest force. Then comes B, then A and D

So the ranking is:

C > B > A > D

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