For the network of Fig. 2.171 sketch vo and iR.
FIG. 2.171
Refer to Figure \(2.171\) in the textbook.
The Silicon diode (Si) starts conducting when the output voltage \(v_{o}\) is \(0.7 \mathrm{~V}\).
Calculate the input voltage.
\(v_{o}=\frac{1 \mathrm{k} \Omega v_{i}}{1 \mathrm{k} \Omega+1 \mathrm{k} \Omega}\)
\(0.7 \mathrm{~V}=\frac{1 \mathrm{k} \Omega v_{i}}{1 \mathrm{k} \Omega+1 \mathrm{k} \Omega}\)
\(v_{i}=1.4 \mathrm{~V}\)
When the input voltage \(v_{i} \geq 1.4 \mathrm{~V}\), the Silicon (Si) diode is in ON state and the output voltage \(v_{o}\) is \(0.7 \mathrm{~V}\).
When \(v_{i}<1.4 \mathrm{~V}\), the Silicon (Si) diode is off.
Calculate the level of the output voltage.
$$ \begin{aligned} v_{o} &=\frac{1 \mathrm{k} \Omega}{1 \mathrm{k} \Omega+1 \mathrm{k} \Omega} v_{i} \\ &=0.5 v_{i} \end{aligned} $$
Calculate the output voltage for an input voltage of .
Draw the output voltage waveform.
Calculate the voltage across the \(1 \mathrm{k} \Omega\) resistor for positive half cycle.
$$ \begin{aligned} v_{R} &=v_{\max }-0.7 \mathrm{~V} \\ &=10-0.7 \\ &=9.3 \mathrm{~V} \end{aligned} $$
Calculate the current flowing through \(1 \mathrm{k} \Omega\) resistor for positive half cycle.
$$ \begin{aligned} I_{R} &=\frac{v_{R}}{R} \\ &=\frac{9.3 \mathrm{~V}}{1 \mathrm{k} \Omega} \\ &=9.3 \mathrm{~mA} \end{aligned} $$
Calculate the maximum current for the negative peak point .
Draw the waveform for current, .