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A charge of 8.0 mA in the emitter curren...

A charge of 8.0 mA in the emitter current brings a charge of 7.9 mA in the collector current. The values of `alpha and beta` are

A

0.99,90

B

0.96,79

C

0.97, 99

D

0.99 , 79

Text Solution

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The correct Answer is:
To solve the problem, we need to find the values of alpha (α) and beta (β) based on the given changes in emitter current (IE) and collector current (IC). ### Step-by-Step Solution: 1. **Identify the given values:** - Change in emitter current (ΔIE) = 8.0 mA - Change in collector current (ΔIC) = 7.9 mA 2. **Calculate alpha (α):** - The formula for alpha is given by: \[ \alpha = \frac{\Delta IC}{\Delta IE} \] - Substituting the values: \[ \alpha = \frac{7.9 \, \text{mA}}{8.0 \, \text{mA}} = 0.9875 \approx 0.99 \] 3. **Calculate beta (β):** - The relationship between alpha and beta is given by: \[ \beta = \frac{\alpha}{1 - \alpha} \] - Substituting the value of α: \[ \beta = \frac{0.99}{1 - 0.99} = \frac{0.99}{0.01} = 99 \] 4. **Final Results:** - The value of alpha (α) is approximately 0.99. - The value of beta (β) is 99. ### Summary: - α = 0.99 - β = 99
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