In an ntype semiconductor rectangular bar if the length of t

In an n-type semiconductor rectangular bar, if the length of the bar becomes four times of the original length and doping is decreased by half of its original doping, then how it will affect the conductivity and current density through the bar if the applied voltage remains the same?

Solution

The electron and hole concentrations in a intrinsic semiconductor are n_i and p_i respectively.

When doped with a n-type material these changes to p and n respectively.

then,

pn=p_ini