Two Conducting Spheres, One Having Twice the Diameter of the Other

question 42

Multiple Choice

Two conducting spheres, one having twice the diameter of the other, are separated by a distance large compared to their diameters.The smaller sphere (1) has charge q and the larger sphere (2) is uncharged.If the spheres are connected by a long thin wire and come to equilibrium:

• A)1 and 2 have the same potential
• B)2 has twice the potential of 1
• C)2 has half the potential of 1
• D)1 and 2 have the same charge
• E)all of the charge is dissipated

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Definitions:

Marginal Revenue

Marginal Revenue is the additional income earned by a firm for selling one more unit of a good or service.

Quantity Sold

The number of units of a product or service that have been purchased by consumers over a specific period.

Perfect Price Discrimination

A pricing strategy where a seller charges the highest price that each consumer is willing to pay, effectively capturing all consumer surplus as profit.

Producer Surplus

The difference between what producers are willing to accept for a good versus what they actually receive, a measure of producers' benefit.