Also we know that current density $j = \frac{i}{A}$
Hence $j$ is different for different area of cross-sections. When $j$ is different, then $E$ is also different. Thus $E$ is not constant. The drift velocity ${v_d}$ is given by ${v_d} = \frac{j}{{ne}}=$ different for different $j$ values. Hence only current i will be constant.




