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For a transistor 1/alpha -1/beta is equ...

For a transistor `1/alpha -1/beta` is equal to

A

two

B

three

C

one

D

zero

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the expression for \( \frac{1}{\alpha} - \frac{1}{\beta} \) in terms of the transistor parameters \( \alpha \) and \( \beta \). ### Step-by-step Solution: 1. **Understand the relationship between \( \alpha \) and \( \beta \)**: The relationship between the common base current gain \( \alpha \) and the common emitter current gain \( \beta \) is given by: \[ \beta = \frac{\alpha}{1 - \alpha} \] 2. **Express \( \frac{1}{\beta} \)**: From the relationship, we can express \( \frac{1}{\beta} \): \[ \frac{1}{\beta} = \frac{1 - \alpha}{\alpha} \] 3. **Substitute \( \frac{1}{\beta} \) into the expression**: Now, we substitute \( \frac{1}{\beta} \) into the expression \( \frac{1}{\alpha} - \frac{1}{\beta} \): \[ \frac{1}{\alpha} - \frac{1}{\beta} = \frac{1}{\alpha} - \frac{1 - \alpha}{\alpha} \] 4. **Simplify the expression**: Now, we can simplify the expression: \[ \frac{1}{\alpha} - \frac{1 - \alpha}{\alpha} = \frac{1}{\alpha} - \frac{1}{\alpha} + \frac{\alpha}{\alpha} = \frac{\alpha}{\alpha} = 1 \] 5. **Conclusion**: Therefore, we find that: \[ \frac{1}{\alpha} - \frac{1}{\beta} = 1 \] ### Final Answer: The expression \( \frac{1}{\alpha} - \frac{1}{\beta} \) is equal to **1**.

To solve the problem, we need to find the expression for \( \frac{1}{\alpha} - \frac{1}{\beta} \) in terms of the transistor parameters \( \alpha \) and \( \beta \). ### Step-by-step Solution: 1. **Understand the relationship between \( \alpha \) and \( \beta \)**: The relationship between the common base current gain \( \alpha \) and the common emitter current gain \( \beta \) is given by: \[ \beta = \frac{\alpha}{1 - \alpha} ...
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