You have tour identical conducting spheres A, B, C and D In each scenario below,

Question

You have tour identical conducting spheres A, B, C and D In each scenario below, sphere A starts with a charge of -Q. sphere C starts out with a charge at +Q, and spheres B and D start cut neutral Then the spheres are touched to each other and separated in the onto-described. Any spheres not in contact are held very far away. For each scenario give the final charge of sphere B as a whole number fraction of Q. For example, if you decide that the final charge of sphere B is -d/7, enter "-1" in the numerator and "7" in the denominator Remember Before each scenario begins, spheres A, B, C and D are to charges of -Q, D, +A and D again A and B touch and are separated, then A and C touch and are separated, then A and D touch and are separated A and B touch and are separated, then B and O touch and are separated, then C and D touch and are separated A and B touch and are separated, then D and C touch and are separated, then D and A touch arid are separated, then A and V touch and are separated.

Explanation / Answer

Scenario1 = Since a And B are touched.so charge on both would be distributed. So QB= -1/2 Q

Scenario 2: QB= -1/4 Q . as A and B touch first so charge on B would be -1/2 Q. now B and D are touched. Now charge on B would be -1/4Q.

Scenario 3: QB = -1/16 Q. since A and D are touched first so A=-1/2Q and D=-1/2 Q. now C and D are touched.

So C=1/4 d=1/4

now A and D are touched. so A=-1/8 and D=-1/8

now A and B are touched so A=-1/16 B=-1/16

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