High School

In a transistor, if [tex]I_C = 100 \text{ mA}[/tex] and [tex]I_E = 100.2 \text{ mA}[/tex], what is the value of β?

Answer :

The value of β in the given transistor configuration is approximately 200.

In the context of transistors, β (beta) represents the current gain or the ratio of collector current (IC) to emitter current (IE). It's a crucial parameter that characterizes the amplification capability of a transistor. In the provided data, IC is 100 mA, and IE is 100.2 mA. To determine β, we use the formula β = IC / IE.

Substituting the given values:

β = 100 mA / 100.2 mA ≈ 0.998

However, β is typically expressed as a ratio or a dimensionless quantity, so the above result isn't practical. To obtain a more meaningful value, we often multiply the ratio by 100 to convert it into a percentage.

β ≈ 0.998 * 100 ≈ 99.8

Rounded off, the value of β is approximately 100. This indicates that for every 1 unit of current flowing from the emitter to the collector, approximately 100 units of current are flowing from the collector to the emitter.

This value of β might differ slightly due to manufacturing tolerances, temperature variations, and other factors. It's worth noting that β is an essential parameter in transistor amplifier design, and understanding its value helps engineers optimize circuit performance.

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