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Suppose the rod whose length is 0.1 m is moved at v=10 m/s in
a uniform field of 1T. In this case the emf=1 volt. Suppose
the rod resistance is 1 ohms while the resistance if the
"rail," on which it slides, is 3 ohms. The expected i1=333 mA
is larger than i2=250 mA which would flow if the emf was
distributed ("working" against the total resistance of 4 ohms
rather than against 3 ohms only).