Problem

Determine vo for each network of Fig. 2.176 for the input shown.FIG. 2.176

Determine vo for each network of Fig. 2.176 for the input shown.

FIG. 2.176

Step-by-Step Solution

Solution 1

Refer to the First circuit diagram in Fig. 2.176 in the textbook.

When the Silicon (Si) diode is open for the positive pulse for the input voltage \(v_{i}\) and the output voltage \(v_{o}=0 \mathrm{~V}\)

Now for the range \(\left(-20 \mathrm{~V} the diode is in the ON state and the input voltage becomes \(v_{i}=v_{o}+0.7 \mathrm{~V}\)

Now for \(v_{i}=-20 \mathrm{~V}\) the output voltage is \(v_{o}=(-20-0.7) \mathrm{V}=-19.3 \mathrm{~V}\)

Hence, for \(v_{i}=-20 \mathrm{~V}\) the output voltage \(v_{o}\) is \(-19.3 \mathrm{~V}\).

Now for \(v_{i}=-0.7 \mathrm{~V}\) the output voltage is \(v_{o}=(-0.7+0.7) \mathrm{V}=0 \mathrm{~V}\)

Hence, for \(v_{i}=-0.7 \mathrm{~V}\) the output voltage \(v_{o}\) is \(0 \mathrm{~V}\)

The output voltage waveform is given as follows.

10774-2-32P_C

Figure 1

Refer to the Second circuit diagram in Fig. 2.176 in the textbook.

Now for \(v_{i} \leq 8 \mathrm{~V}\) ensures the Silicon (Si) diode is forward biased and the output voltage is given

as:

$$ v_{o}=v_{i}-8 \mathrm{~V} $$

For the input voltage \(v_{i}=8 \mathrm{~V}\) the output voltage \(v_{o}\) is given as:

$$ \begin{aligned} v_{o} &=v_{i}-8 \mathrm{~V} \\ &=8 \mathrm{~V}-8 \mathrm{~V} \\ &=0 \mathrm{~V} \end{aligned} $$

Hence, input voltage \(v_{i}=8 \mathrm{~V}\) the output voltage \(v_{o}\) is \(0 \mathrm{~V}\)

For the input voltage \(v_{i}=-20 \mathrm{~V}\) the output voltage \(v_{o}\) is given as:

$$ \begin{aligned} v_{o} &=v_{i}-8 \mathrm{~V} \\ &=-20 \mathrm{~V}-8 \mathrm{~V} \\ &=-28 \mathrm{~V} \end{aligned} $$

Hence, input voltage \(v_{i}=-20 \mathrm{~V}\) the output voltage \(v_{o}\) is \(-28 \mathrm{~V}\).

The output voltage waveform is given as follows.

10774-2-32P_D

Figure 2

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