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I am in an electronic course and we just started studying diodes. I am stuck on the following problem:

Place a 100 ohm resistance in series with a diode, and plot current versus voltage across the series combination.

I am also given the following values for the diode:

n = 1, Is = 10^-14A, Vt = 26mV

I am trying to come up with an expression for current. I am using the following:

iD = Is * exp(vD/(n*Vt)) ...... approximation of the current through the diode.

and

Vr = iR for the voltage drop across the resistor

Then, the total voltage drop is:

Vtot = vD + Vr

I am then trying to solve for current, but I can't get it on its own. Can some one please help me. I have attached a picture of the original problem statement. Thank you very. much!