or $\mathrm{E}_{1}-\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right) \mathrm{R}-\mathrm{i}_{1} \mathrm{r}_{1}=0$
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A cylindrical resistance is connected across battery $\varepsilon $ . Cylinder has uniform free electron density, mid part of cylinder has larger radius as shown in figure. Then $V_d$ (drift velocity) $V/S$ (distance across the length of the resistance)
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