A Wire of Resistivity ρ Must Be Replaced in a Circuit

question 48

Multiple Choice

A wire of resistivity ρ must be replaced in a circuit by a wire of the same material but 4 times as long.If,however,the resistance of the new wire is to be the same as the resistance of the original wire,the diameter of the new wire must be

• A) the same as the diameter of the original wire.
• B) 1/2 the diameter of the original wire.
• C) 1/4 the diameter of the original wire.
• D) 2 times the diameter of the original wire.
• E) 4 times the diameter of the original wire.

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Definitions:

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Marginal Rate of Substitution

The rate at which a consumer is willing to give up one good in exchange for another good while maintaining the same level of satisfaction.

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