Consider the Shockley equation for the diode
I = I0 exp[(eV/kT) − 1]
Show that the slope resistance re of the I − V curve at a particular d.c bias is given to a good approximation, at room temperature (T = 300 K) by the expression re = 26/IΩ (forward bias) where I is in milliampere, and that for the reverse bias re tends to infinity.