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Question no. 28558

If parameter alpha (a) equals 0.9, what is the corresponding value of beta (ß)___________?

Select your answer for: If parameter alpha (a) equals 0.9, what is the corresponding value of beta (ß)___________?
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Answer: D. 90

Explanation

Beta is mathematically derived from alpha by dividing alpha by one minus alpha. Substituting an alpha value of zero point nine into this standard formula yields ninety. This relationship highlights how a small change in alpha drastically affects the beta value. Parameter alpha represents the common-base current gain in bipolar junction transistors. Parameter beta represents the common-emitter current gain in standard bipolar junction transistors. The exact formula is beta equals alpha divided by the quantity one minus alpha.

Transistor parameters are essential for designing reliable electronic amplifiers and switching circuits. Engineers use these conversion formulas when transitioning between common-base and common-emitter configurations. Understanding these gains ensures proper signal amplification without causing distortion in audio equipment. Option A is simply nine, which fails to account for the correct mathematical division steps. Option B suggests zero point nine, incorrectly equating beta directly to the input alpha value. Option C gives nine hundred, which results from a decimal placement error during calculation.

Subject
Engineering
Topic
—
Difficulty
medium

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