Basic BJT (NPN)
A BJT uses a small base current to control a larger collector current.
Ic ≈ β × Ib
Typical gain (β) ranges from about 20 to 200. This works well for many applications, but struggles when input current is extremely low.
Darlington Pair (Two BJTs)
Here, the emitter of the first transistor feeds the base of the second. This cascaded setup multiplies the gain:
β_total ≈ β1 × β2
Now, even a tiny input current can produce a large output current. However, the trade-off is a higher base-emitter voltage (around 1.2–1.4 V) and slightly slower response.
Triple Darlington Pair
Adding a third transistor increases gain even further:
β_total ≈ β1 × β2 × β3
This allows extremely weak signals to drive relatively large loads. The downside is even higher voltage drop and increased saturation voltage, which can reduce efficiency.
Each stage amplifies the previous one. More stages → higher gain, but also more voltage drop and slower switching.
Used correctly, these techniques allow precise control of large currents using very small input signals.
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