A uniform aluminium conductor is made by joining two cylindrical pieces end to end

PHYSICS · Multi-part · CBSE · Physics · Current Electricity · Current Electricity

Problem

A uniform aluminium conductor is made by joining two cylindrical pieces end to end. Piece 1 is

2.0\,\text{m}

long and

3.0\,\text{mm}

in diameter, while Piece 2 is

1.0\,\text{m}

long and

1.5\,\text{mm}

in diameter. The resistivity of aluminium is

2.7\times10^{-8}\,\Omega\,\text{m}

. (i) Calculate the resistance of each piece separately. (ii) Hence find the total resistance between the free ends of the composite wire. (iii) When a potential difference is applied across the composite wire, what percentage of the total potential difference appears across Piece 2?

Related theory

Resistors in Series
Resistor Networks
Resistance & Resistivity
Electric Circuits
Electricity
Resistance: geometry and temperature dependence
Current Electricity
Resistivity of materials

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