Final answer:
The common-base current gain, α, can be calculated from the common-emitter current gain, β, using the formula α = β / (β + 1). For a β value of 11, the α value is 0.9167.
Step-by-step explanation:
To determine the common-base current gain, α, from a given common-emitter current gain (β), we use the relationship α = β / (β + 1). Since the common-emitter current gain (β) is 11, the common-base current gain (α) is 11 / (11 + 1), which equals 0.9167 (or 91.67% when expressed as a percentage).
The common-base current gain, α, is a measure of how much the emitter current increases for a small increase in base current while the collector voltage remains constant in a common-base configuration. In other words, it is the ratio of the change in collector current to the change in emitter current in a transistor.