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To find the relationship between the forward current gain (α) and the common-emitter current gain (β) for a power transistor, you can use the following formula:
[
β = frac{α}{1-α}
]
Given that (α = 0.97):
[
β = frac{0.97}{1 – 0.97} = frac{0.97}{0.03} approx 32.33
]
So, the value of β is approximately 32.33.