The diode in the circuit shown is forward biased. The current I flowing through the diode is given by:
I= Is (eqvd/ekt - 1)
where vD is the voltage drop across the diode, T is the temperature in kelvins, Is = 10-12 A is the saturation current, q = 1.6 × 10-19 coulombs 1s the elementary charge value, and k = 1.38 × 10-23 joule/K is Boltzmann's constant. The current I flowing through the circuit (the same as the current in the diode) is given also by:
I = Vs - VD/R
Determine vD if Vs = 2V, T = 297 K, and R = 1000 U (Substitute I from one equation into the other equation and solve the resulting nonlinear equation.)

VD D R ww-