A charged insulating rod of unknown net charge is touched to an initially neutral…

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

A charged insulating rod of unknown net charge is touched to an initially neutral metal sphere X. After separation, sphere X has a charge of +3 μC+3\,\mu\text{C}. The same rod is then touched to another initially neutral metal sphere Y. After this second contact, sphere Y has a charge of −1 μC-1\,\mu\text{C}, and the rod is measured to have a remaining charge of +2 μC+2\,\mu\text{C}. Assuming the system is electrically isolated from its surroundings during these steps, determine the rod’s net charge before the first contact.

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