Five conducting spheres are charged as shown. All have the...

Five conducting spheres are charged as shown. All have the same magnitude net charge except $E$, whose net charge is zero. Which pairs are attracted to each other and which are repelled by each other when they are brought near each other, but well away from the other spheres?

Key Concepts

Electric Charge

Electric charge is a fundamental property of matter that determines electromagnetic interactions. Charges come in two types—positive and negative—and the interaction between them depends on their sign: like charges repel each other while opposite charges attract.

Conductors and Charge Distribution

Conductors are materials in which electric charge is free to move. In conducting spheres, charges distribute themselves on the outer surfaces to minimize repulsive forces. This redistribution is crucial when spheres interact, as the distribution can dynamically change in response to nearby charges.

Coulomb's Law

Coulomb's Law describes the magnitude and direction of the force between two point charges. It states that the force is proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance between them. This principle is key to determining whether the force between any two charged spheres will be attractive or repulsive based on their charge signs.

Electrostatic Induction

Electrostatic induction occurs when a charged object induces a separation of charges in a nearby neutral conductor. This polarization results in one side of the conductor acquiring a slight opposite charge and the other a slight like charge relative to the nearby charged object, thereby creating attractive forces even though the conductor has a net zero charge.

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