A $n-p-n$ transistor is connected to common emitter configuration in a given amplifier. A load resistance of $800$ is connected in the collector circuit and the voltage drop across it is $0.8\, V$. If the current amplification factor is $0.96$ and the input resistance of the circuit is $192\,\Omega$, the voltage gain and the power gain of the amplifier will respectively be
- 3.69, 3.84
- 4 , 4
- 4, 3.69
- 4, 3.84
The Correct Option is D
Solution and Explanation
Voltage and Power Gain Calculations
Given:
\(\alpha = 0.96\)
Step 1: Calculate $\beta$:
Using the formula for $\beta$:
\(\beta = \frac{\alpha}{1 - \alpha}\)
\(\beta = \frac{0.96}{0.04}\)
\(\Rightarrow \beta = 24\)
Step 2: Calculate Voltage Gain for Common Emitter Configuration:
Using the formula for voltage gain in common emitter configuration:
\(A_V = \beta \times \frac{R_L}{R_1}\)
\(A_V = 24 \times \frac{800}{192}\)
\(\Rightarrow A_V = 100\)
Step 3: Calculate Power Gain for Common Emitter Configuration:
Using the formula for power gain:
\(P_V = \beta \times A_V\)
\(P_V = 24 \times 100\)
\(\Rightarrow P_V = 2400\)
Step 4: Calculate Voltage Gain for Common Base Configuration:
Using the formula for voltage gain in common base configuration:
\(A_V = \alpha \times \frac{R_L}{R_P}\)
\(A_V = 0.96 \times \frac{800}{192}\)
\(\Rightarrow A_V = 4\)
Step 5: Calculate Power Gain for Common Base Configuration:
Using the formula for power gain in common base configuration:
\(P_V = A_V \times \alpha\)
\(P_V = 4 \times 0.96\)
\(\Rightarrow P_V = 3.84\)
Conclusion:
The problem asks about the common emitter configuration, but we have also calculated the values for the common base configuration. Based on the above calculations, the voltage gain and power gain for the common emitter configuration are:
- \(voltage\ Gain\ for\ Common\ Emitter\: A_V = 100\)
- \(power\ Gain\ for\ Common\ Emitter\: P_V = 2400\)
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Concepts Used:
Semiconductors
Semiconductors are a crystalline solid materials, whose electrical conductivity lies between a conductor and an insulator. Semiconductors are mainly used in the manufacturing of electronic devices like capacitors, transistors, diodes, Integrated circuits, etc.
Properties of Semiconductor:
- Semiconductor acts like an insulator at Zero Kelvin. On increasing the temperature, it works as a conductor.
- Due to their exceptional electrical properties, semiconductors can be modified by doping to make semiconductor devices suitable for energy conversion, switches, and amplifiers.
- Lesser power losses.
Uses of Semiconductor:
- Semiconductors are widely used in manufacturing electronics devices like transistors, diodes, sensors, integrated circuits.
- Semiconductors are widely used in all electronic devices, like mobile phones, digital cameras, communication devices, trains, ATMs, etc.