SATHEE: Modern Physics 6 Question 2

Modern Physics 6 Question 2

2. The transfer characteristic curve of a transistor, having input and output resistance $100 Ω$ and $100 k Ω$ respectively, is shown in the figure. The voltage and power gain, are respectively,

(Main 2019, 12 April I)

(a) $2.5 \times 10^{4}, 2.5 \times 10^{6}$

(b) $5 \times 10^{4}, 5 \times 10^{6}$

(d) $5 \times 10^{4}, 2.5 \times 10^{6}$

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Solution:

Given curve is between $I_{c}$ and $I_{b}$ as output and input currents, respectively

So, it is transfer characteristics curve of a common emitter (CE) configuration.

In $C E$ configuration,

Current gain, $β = \frac{I_{out}}{I_{in}} = \frac{I_{c}}{I_{b}}$

Voltage gain,

$A_{V} = \frac{V_{out}}{V_{in}} = \frac{I_{c} \times R_{out}}{I_{b} \times R_{in}} = β \times \frac{R_{out}}{R_{in}}$

and power gain

$A_{P} = \frac{P_{out}}{P_{in}} = \frac{I_{c}^{2} \times R_{out}}{I_{b}^{2} \times R_{in}} = β^{2} \times \frac{R_{out}}{R_{in}}$

Given, $R_{in} = 100 Ω$ and $R_{out} = 100 \times 10^{3} Ω$

From Eq. (i), we get

$\begin{aligned} β & = \frac{5 m A}{100 μ A} or \frac{10 m A}{200 μ A} or \frac{15 m A}{300 μ A} or \frac{20 m A}{400 μ A} \\ \Rightarrow β & = \frac{5 \times 10^{- 3}}{100 \times 10^{- 6}} = 50 \dots (iv) \end{aligned}$

From Eqs. (ii) and (iv), we get

Voltage gain, $A_{V} = β \times \frac{R_{out}}{R_{in}} = 50 \times \frac{100 \times 10^{3}}{100}$

$\Rightarrow$

$A_{V} = 50000 = 5 \times 10^{4}$

From Eqs. (iii) and (iv), we get

Power gain, $A_{P} = β^{2} \times \frac{R_{out}}{R_{in}}$

$\begin{aligned} = (50)^{2} \times \frac{100 \times 10^{3}}{100} \\ = 2500 \times 1000 \\ \Rightarrow A_{P} & = 2.5 \times 10^{6} \end{aligned}$

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Modern Physics 6 Question 2

2. The transfer characteristic curve of a transistor, having input and output resistance $100 Ω$ and $100 k Ω$ respectively, is shown in the figure. The voltage and power gain, are respectively,

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Modern Physics 6 Question 2

2. The transfer characteristic curve of a transistor, having input and output resistance 100Ω and 100kΩ respectively, is shown in the figure. The voltage and power gain, are respectively,

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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2. The transfer characteristic curve of a transistor, having input and output resistance $100 Ω$ and $100 k Ω$ respectively, is shown in the figure. The voltage and power gain, are respectively,