Explanation Given: Length of the first wire = l 1 = 1 m Length of the second wire = l 2 = 2 m Area of cross-section of first wire = A 1 Area of cross-section of second wire = A 2 Resistivity of material of the wire = ρ Resistance of first resistor = R 1 = 0.300 Ω Resistance of second resistor = R 2 Mass of the first wire = m 1 Mass of the second wire = m 2 Density of material of the wire = σ Volume of first wire = V 1 Volume of second wire = V 2 Potential difference across the wire = V Current flowing through the wire = I = 5 A Formula Used: Volume of cylinder is given as V = A l Mass of a cylindrical wire is given as mass = ( density ) ( volume ) Resistance is given as R = ρ l A Calculation: Volume of first wire is given as V 1 = A 1 l 1 Mass of first wire is given as mass = ( density ) ( volume ) m 1 = σ V 1 m 1 = σ A 1 l 1 Volume of second wire is given as V 2 = A 2 l 2 Mass of second wire is given as mass = ( density ) ( volume ) m 2 = σ V 2 m 2 = σ A 2 l 2 Since the two wires have same mass, hence m 1 = m 2 σ A 1 l 1 = σ A 2 l 2 A 1 l 1 = A 2 l 2

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ISBN: 9781429281843

Author: Tipler

Publisher: MAC HIGHER

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Resistivity

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 25, Problem 45P

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Resistance of the second wire.

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Chapter 25, Problem 44P

Chapter 25, Problem 46P

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Resistance of the second wire.

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