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Transconductance in CE amplifier circuit...

Transconductance in CE amplifier circuit is defined as

A

Ratio of change in collector current to the change in emitter current

B

Ratio of change in input base-emitter voltage to the change in emitter current

C

Ratio of change in collector current to the change in input base-emitter voltage

D

Ratio of change in emitter current to the change in input base-emitter voltage

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The correct Answer is:
To solve the question regarding the definition of transconductance in a common emitter (CE) amplifier circuit, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Transconductance**: Transconductance, denoted as \( g_m \), is a parameter that measures the efficiency of a transistor in converting input voltage changes into output current changes. 2. **Identifying the Parameters**: In a common emitter amplifier, we are interested in the relationship between the input voltage and the output current. The relevant parameters are: - \( \Delta I_C \): Change in collector current - \( \Delta V_{BE} \): Change in base-emitter voltage 3. **Defining Transconductance**: The transconductance \( g_m \) is defined mathematically as: \[ g_m = \frac{\Delta I_C}{\Delta V_{BE}} \] This means that transconductance is the ratio of the change in collector current to the change in input base-emitter voltage. 4. **Evaluating the Options**: Now, we need to evaluate the provided options to find which one matches our definition: - **Option A**: Ratio of change in collector current to the change in emitter current - Incorrect. - **Option B**: Ratio of change in input base-emitter voltage to the change in emitter current - Incorrect. - **Option C**: Ratio of change in collector current to the change in input base-emitter voltage - Correct. - **Option D**: Ratio of change in emitter current to the change in input base-emitter voltage - Incorrect. 5. **Conclusion**: Based on our analysis, the correct definition of transconductance in a common emitter amplifier circuit is given by **Option C**.
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