Question 2.1: (A) Draw the transfer characteristics of the circuit of figu...

(A) Draw the transfer characteristics of the circuit of figure, assuming both D_{1} \text { and } D_{2} to be ideal (B) How would the characteristics change if D_{2} is ideal, but D_{1} is no-ideal and has a forward resistance of 10 W and a reverse of infinity.

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(A) Both the Diodes are ideal whom V_{0} is between 1V to 2V   1 V \leq V _{0} \leq 2 V in this case both the diodes D_{1} \text { and } D_{2} are forward bias 

1 V and 2 V can not be in parallel and its violation of KVL

So this circuit does not exist.

\text { (B) } V_{0} \leq 2 V \left(D_{2} f, B \text { and } D_{1} f, B\right)

Apply KCL

\begin{aligned}&I+I_{1}=I_{2}+I_{3} \\&\frac{V_{i}-2}{1 k}+I_{1}=\frac{2-1}{10}+\frac{2-0}{1 k} \\&i_{1}=\frac{104-V_{i}}{1000} \\&i \geq 0 \\&\begin{aligned}\frac{104-V_{i}}{1000} & \geq 0 \\V_{i} & \leq 104 \\V_{i} & \leq 104 V \Rightarrow V_{0}=2 V\end{aligned}\end{aligned}

Case 2: V_{i} \geq 104 V \text {, so } V_{0} \geq 2 V \text { Diode } D_{1} is forward bias Diode D_{2} is reverse bias 

Apply KCL

\begin{aligned}\frac{V_{0}-V_{i}}{1 K}+\frac{V_{0}-1}{10}+\frac{V_{0}-0}{1 K} &=0 \\V_{0} &=\frac{V_{i}+100}{102}\end{aligned}

 

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