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The relationship between the forward current gain (α) and the current gain (β) for a transistor is given by the formula:
[
β = frac{α}{1 – α}
]
Substituting the value of α:
[
β = frac{0.97}{1 – 0.97} = frac{0.97}{0.03} approx 32.33
]
So, β is approximately 32.33.