) Calculate the current amplification factor (â) when change in collector current is 0.5 m A for a change in base current of 10 ì (2)

To determine the current amplification factor, often denoted as β (beta), we can use the relationship between the changes in collector current (ΔIc) and base current (ΔIb). The formula for calculating β is:

Understanding the Formula

β is defined as the ratio of the change in collector current to the change in base current:

β = ΔIc / ΔIb

Given Values

• Change in collector current (ΔIc) = 0.5 mA = 0.5 x 10^-3 A
• Change in base current (ΔIb) = 10 µA = 10 x 10^-6 A

Calculating β

Now, we can substitute the given values into the formula:

β = (0.5 x 10^-3) / (10 x 10^-6)

To simplify this, we can perform the division:

β = (0.5 / 10) x (10^-3 / 10^-6)

This simplifies to:

β = 0.05 x 10³

Now, calculating that gives:

β = 50

Interpreting the Result

A β value of 50 indicates that for every 1 microampere increase in the base current, the collector current increases by 50 microamperes. This high amplification factor is typical in transistors, making them effective for amplifying signals in various electronic applications.

Real-World Application

In practical terms, if you were to use this transistor in an amplifier circuit, a small input signal (base current) could control a much larger output signal (collector current), which is essential for devices like audio amplifiers or radio transmitters.

Understanding this relationship between base and collector currents is fundamental in electronics, especially when designing circuits that require signal amplification.