Physics

Physics

Problem

A copper rod of length L=2.0 mL = 2.0\,\text{m} is formed into the shape of a truncated cone (frustum). The radius of the circular cross-section varies linearly from r1=2.0 mmr_{1} = 2.0\,\text{mm} at the left end to r2=4.0 mmr_{2} = 4.0\,\text{mm} at the right end. The resistivity of copper is ρ=1.7×10−8 Ω⋅m\rho = 1.7 \times 10^{-8}\,\Omega\cdot\text{m}. Calculate the total electrical resistance of this rod assuming current flows uniformly along the axis of symmetry.

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