So this circuit is supposed to model a bipolar junction transistor. I am a bit stuck with solving for the ratio listed because V0 tends to go away in my attempts.
1. I start by writing the current through the diode depending entirely on the voltage supplied by Vs.
2. With IE in terms of Vs I can multiply with alpha and RL to get the voltage across the resistor.
3.Then I write Vs and VL in terms of their DC and AC components. Then I get that because V0 << VT I can treat that exp(VoCos(wt)/VT)=1 and it drops away.
What I would expect for this circuit is for the ratio between V0 and V2 to be equal to the ratio between vB and v1. The intent of the circuit I imagine would be to provide a gain to a small signal (here that is the AC term) while the DC term maintains the diode's forward bias. Is there a better way to approach this problem?
1. I start by writing the current through the diode depending entirely on the voltage supplied by Vs.
2. With IE in terms of Vs I can multiply with alpha and RL to get the voltage across the resistor.
3.Then I write Vs and VL in terms of their DC and AC components. Then I get that because V0 << VT I can treat that exp(VoCos(wt)/VT)=1 and it drops away.
What I would expect for this circuit is for the ratio between V0 and V2 to be equal to the ratio between vB and v1. The intent of the circuit I imagine would be to provide a gain to a small signal (here that is the AC term) while the DC term maintains the diode's forward bias. Is there a better way to approach this problem?