Two Conducting Spheres Are Far Apart

question 21

Multiple Choice

Two conducting spheres are far apart. The smaller sphere carries a total charge of Q. The larger sphere has a radius that is twice that of the smaller and is neutral. After the two spheres are connected by a conducting wire, the charges on the smaller and larger spheres, respectively, are:

• A) Q/2 and Q/2
• B) Q/3 and 2Q/3
• C) 2Q/3 and Q/3
• D) zero and Q
• E) 2Q and -Q

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Definitions:

Chebysheff's Theorem

A theorem that provides a minimum proportion of observations that lie within a specified number of standard deviations from the mean, applicable to all distributions.

Standard Deviations

A measure that indicates the amount of variation or dispersion from the average in a set of data.

Geometric Mean

The nth root of the product of n numbers, used especially for sets of positive numbers.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of data values from the mean.