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1212Spherical capacitance, C, is defined as the ratio of the product of 4, π, vacuum permittivity, , and Coulomb's constant, k to the difference between the ratio of 1 to the radial length a, and the ratio of 1 to the radial length b. Which of the following correctly solves spherical capacitance for radial length b?

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Question:

A
1212

explanation

1212Begin by translating the given definition into an algebraic expression. Manipulate the equation to solve for b: Multiply both sides by the denominator: , divide both sides by C: , solve for , combine the right hand side using the common denominator: , and evaluate the reciprocal of each side to find b:

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