Question

8. A silicon diode has a typical current-voltage relationship given by I = I_0(e^{eV_b/k_BT} - 1) Assume room temperature (300 K) and a "saturation current" I_0 = 1.0 nA. a. Show that the resistance of the diode for a small reverse bias (i.e. negative) voltage V_b is 25 M?. Hint: expand the exponential into the first two terms of its Taylor series. b. Find the DC resistance V_b/I for a reverse bias of 0.5 V. c. Find the current and the DC resistance for a forward bias of 0.5 V. d. What is effective AC resistance dV_b/dI for small signals oscillating about a 0.5 V forward bias?

          8. A silicon diode has a typical current-voltage relationship given by
I = I_0(e^{eV_b/k_BT} - 1)
Assume room temperature (300 K) and a "saturation current" I_0 = 1.0 nA.
a. Show that the resistance of the diode for a small reverse bias (i.e. negative) voltage V_b is 25 M?. Hint: expand the exponential into the first two terms of its Taylor series.
b. Find the DC resistance V_b/I for a reverse bias of 0.5 V.
c. Find the current and the DC resistance for a forward bias of 0.5 V.
d. What is effective AC resistance dV_b/dI for small signals oscillating about a 0.5 V forward bias?

8. A silicon diode has a typical current-voltage relationship given by
I = I0(e^eVb/kBT - 1)
Assume room temperature (300 K) and a "saturation current" I0 = 1.0 nA.
a. Show that the resistance of the diode for a small reverse bias (i.e. negative) voltage Vb is 25 M?. Hint: expand the exponential into the first two terms of its Taylor series.
b. Find the DC resistance Vb/I for a reverse bias of 0.5 V.
c. Find the current and the DC resistance for a forward bias of 0.5 V.
d. What is effective AC resistance dVb/dI for small signals oscillating about a 0.5 V forward bias?

Added by Jason C.

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