Connecting wires end-to-end

Two cylindrical conductors with equal cross sections but different resistivities are put end-to-end. Find the magnitude of the charge that accumulates at the boundary between the conductors if a current I=100AI=100\textrm{A} flows in the wires. The wires are made of aluminum and copper with resistivities ρCu=1.7×108Ωm\rho_{Cu}=1.7 \times 10^{-8} \Omega\cdot m and ρAl=2.8×108Ωm\rho_{Al}=2.8\times 10^{-8} \Omega \cdot m, respectively. This charge should be very small even for this large current I=100AI=100A.

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