The Electrical Resistance, R, of a Wire Is Directly Proportional

question 52

Multiple Choice

The electrical resistance, R, of a wire is directly proportional to its length, l, and inversely proportional to the square of its diameter, d. A wire 100 meters long of diameter 5 millimeters has a resistance of 8 ohms. Find the resistance of a wire made of the same material that has a diameter of 4 millimeters and is 64 meters long.

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Definitions:

Standard Deviation

An indicator used to determine the degree of scatter or deviation present in a group of data points.

Normally Distributed

A type of continuous probability distribution for a real-valued random variable where the data is symmetrically distributed, forming a bell-shaped curve.

Mean

The arithmetic average of a set of values, calculated by summing the values and then dividing by the number of values.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are.