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18
Subjective

$\mathrm{Sn}, \mathrm{C}$ and $\mathrm{Si}, \mathrm{Ge}$ are all group XIV elements. Yet, Sn is a conductor, C is an insulator while Si and Ge are semiconductors. Why?

Explanation

A material is a conductor if in its energy band diagram, there is no energy gap between conduction band and valence band. For insulator, the energy gap is large and for semiconductor the energy gap is moderate.

The energy gap for Sn is 0 eV, for C is 5.4 eV , for Si is 1.1 eV and for Ge is 0.7 eV , related to their atomic size. Therefore Sn is a conductor, C is an insulator and Ge and Si are semiconductors.

19
Subjective

Can the potential barrier across a $p-n$ junction be measured by simply connecting a voltmeter across the junction?

Explanation

We cannot measure the potential barrier across a $p-n$ junction by a voltmeter because the resistance of voltmeter is very high as compared to the junction resistance.

20
Subjective

Draw the output waveform across the resistor in the given figure.

Explanation

As we know that the diode only works in forward biased, so the output is obtained only when positive input is given, so the output waveform is

21
Subjective

The amplifiers $X, Y$ and $Z$ are connected in series. If the voltage gains of $X, Y$ and $Z$ are 10, 20 and 30 , respectively and the input signal is 1 mV peak value, then what is the output signal voltage (peak value)

(i) if DC supply voltage is 10 V ?

(ii) if DC supply voltage is 5 V ?

Explanation

Given,

$$\begin{aligned} A v_x & =10, A v_y=20, A v_z=30 ; \\ \Delta V_i & =1 \mathrm{mV}=10^{-3} \mathrm{~V} \end{aligned}$$

Now, $\quad \frac{\text { Output Signal Voltage }\left(\Delta V_0\right)}{\text { Input Singal Voltage }\left(\Delta V_i\right)}=$ Total voltage amplification

$$\begin{aligned} & =A v_x \times A v_y \times A v_z \\ \Rightarrow\quad\Delta V_0 & =A v_x \times A v_y \times A v_z \times \Delta V_i \\ & =10 \times 20 \times 30 \times 10^{-3}=6 \mathrm{~V} \end{aligned}$$

(i) If DC supply voltage is 10 V , then output is 6 V , since theoretical gain is equal to practical gain, i.e., output can never be greater than 6 V.

(ii) If DC supply voltage is 5 V , i.e., $V_{c c}=5 \mathrm{~V}$. Then, output peak will not exceed 5 V . Hence $V_0=5 \mathrm{~V}$.

22
Subjective

In a CE transistor amplifier, there is a current and voltage gain associated with the circuit. In other words there is a power gain. Considering power a measure of energy, does the circuit violate conservation of energy?

Explanation

In CE transistor amplifier, the power gain is very high.

In this circuit, the extra power required for amplified output is obtained from DC source. Thus, the circuit used does not violet the law of conservation.