Explanation Write the equation of resistance, R = ρ l A (I) Here, the resistance is R , the resistivity is ρ , the length is l , the area is A . The area of cross-section of wire is circular. Thus re-write the formula for the resistance. R = ρ l π d 2 / 4 Here, d is the diameter of the wire. The resistance of the copper wire and aluminium wire are same. They have the same length too. ρ c l π d c 2 / 4 = ρ a l π d a 2 / 4 ρ c d c 2 = ρ a d a 2 Here, ρ c is the resistivity of copper, ρ a is the resistivity of aluminium, d c is the diameter of copper wire, d a is the diameter of aluminium wire. Re-write the above equation to get an expression for d c

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ISBN: 9780321902788

Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain

Publisher: PEARSON

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Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends o…

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Chapter 19, Problem 9P

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The diameter of a copper wire in order to have equal resistance of a aluminium wire with equal length and diameter 3.26 mm.

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Chapter 19, Problem 8P

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Chapter 19 Solutions

College Physics (10th Edition)

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The diameter of a copper wire in order to have equal resistance of a aluminium wire with equal length and diameter 3.26 mm .

Solution Summary: The author explains that the diameter of a copper wire in order to have equal resistance of an aluminium wire with equal length and diameter is 2.64.

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The diameter of a copper wire in order to have equal resistance of a aluminium wire with equal length and diameter 3.26 mm.

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