Determine vo for each network of Fig. 2.177 for the input shown.
FIG. 2.177
(a)
Refer to the circuit diagram shown in Fig. \(2.176\) (a) in the textbook.
As per Fig. \(2.176\) (a) for the positive pulse of input voltage \(v_{i}\) the expression for output voltage
\(v_{o}\) is,
$$ v_{o}=\frac{R_{2}\left(V-V_{D}\right)}{R_{2}+R_{1}} $$
Here,
Resistance \(R_{1}\) is \(2.2 \mathrm{k} \Omega\)
Resistance \(R_{2}\) is \(1.8 \mathrm{k} \Omega\)
Voltage \(V\) is \(12 \mathrm{~V}\)
Silicon Diode voltage \(V_{D}\) is \(0.7 \mathrm{~V}\)
Substitute the corresponding values to obtain \(v_{o}\) as follows:
$$ \begin{aligned} v_{o} &=\frac{R_{2}\left(V-V_{D}\right)}{R_{2}+R_{1}} \\ &=\frac{1.8 \mathrm{k} \Omega(12 \mathrm{~V}-0.7 \mathrm{~V})}{1.8 \mathrm{k} \Omega+2.2 \mathrm{k} \Omega} \\ &=5.09 \mathrm{~V} \end{aligned} $$
Hence, for the positive pulse the output voltage \(v_{o}\) is \(5.09 \mathrm{~V}\).
As per Fig. \(2.176\) (a) for the negative pulse of input voltage \(v_{i}\) the output voltage \(v_{o}\) when the
diode is open is given as:
\(v_{o}=0 \mathrm{~V}\)
Hence, for the negative pulse the output voltage \(v_{o}\) is \(0 \mathrm{~V}\).
The output voltage waveform is given as:
Figure 1
(b)
Refer to the circuit diagram shown in Fig. \(2.176\) (b) in the textbook.
As per Fig. \(2.176\) (b) for the positive pulse of input voltage \(v_{i}\) the expression for output voltage \(v_{o}\) is,
$$ v_{o}=V-V_{D}+E $$
Here,
Voltage \(V\) is \(12 \mathrm{~V}\)
Silicon Diode voltage \(V_{D}\) is \(0.7 \mathrm{~V}\)
Battery supply \(E\) is \(4 \mathrm{~V}\)
Substitute the corresponding values to obtain \(v_{o}\).
$$ \begin{aligned} v_{o} &=V-V_{D}+E \\ &=12 \mathrm{~V}-0.7 \mathrm{~V}+4 \mathrm{~V} \\ &=15.3 \mathrm{~V} \end{aligned} $$
Hence, for the positive pulse the output voltage \(v_{o}\) is \(15.3 \mathrm{~V}\).
As per Fig. \(2.176\) (b) for the negative pulse of input voltage \(v_{i}\) the output voltage \(v_{o}\) when the
diode is open is given as:
\(v_{o}=0 \mathrm{~V}\)
Hence, for the negative pulse the output voltage \(v_{o}\) is \(0 \mathrm{~V}\).
The output voltage waveform is given as:
Figure 2