Virtual laboratory/Physics/Electricity/The transistor — a small signal controls a large current

The transistor — a small signal controls a large current

An extension of the topic of electric current and semiconductors. A small voltage on the transistor's gate/base controls a large current flowing through the channel — below the threshold the transistor is closed, above it the channel opens and conducts. This is the basis of signal amplification and switching (0/1) across all of modern electronics (Nobel 1956).

The transistor — a small signal controls a large current
Physics · Electricity · Transistor (Nobel 1956)
Gate/base voltage UgU_g1.00 V
With a small signal, a transistor can…
gate voltage U_g
1.00 V
threshold U_th
1.8 V
drain current I_D
0.0 mA
state
CLOSED
🎯 Challenge: open or closed?
streak: 0

I'll give you a gate voltage U_g — guess the channel state (no slider). Threshold U_th = 1.8 V.

What just happened?

Below the threshold voltage the channel between source and drain is closed — the current I_D is zero, regardless of what voltage is waiting at the drain. Once the gate voltage crossed the threshold U_th, the channel opened and a current started to flow, growing as U_g rises further.

Simplified conduction model:

ID={0,Ug≤Uthk (Ug−Uth)2,Ug>UthI_D = \begin{cases} 0, & U_g \le U_{th} \\ k\,(U_g - U_{th})^2, & U_g > U_{th} \end{cases}

— U_g is the control voltage at the gate (or base in a bipolar transistor), U_th is the threshold voltage, and I_D is the current flowing between drain and source (respectively: collector and emitter). Below the threshold the channel is closed; above it — the larger the excess U_g − U_th, the more current the channel conducts.

What does this mean in practice?

A tiny change in the gate voltage (on the order of single volts, microwatts of power) can switch a much larger current through the channel on or off. It is exactly this "lever" — a small signal controls a large current — that lets the transistor amplify signals and act as a 0/1 switch, i.e. a logic gate in a computer.

Why the 1956 Nobel Prize in Physics?

John Bardeen, Walter Brattain and William Shockley built the first transistor at Bell Labs in 1947, replacing the much larger, power-hungry and failure-prone vacuum tubes. That single invention launched all of semiconductor electronics — from the transistor radio to today's integrated circuits with billions of transistors acting as 0/1 switches.

Why you need this for the exam:

Remember the direction of the relationship: below the threshold — no current, above the threshold — the current grows with the control voltage. That is enough to describe how the transistor works as an amplifier and as a switch in problems about electricity and electronics.

Remember: the "on/off" state and the magnitude of the current I_D depend on the control voltage U_g relative to the threshold voltage U_th — a small signal at the gate controls a large current in the channel.

Illustrative model · NexTutor Virtual laboratory

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Theory & formulas

Controlling current

A transistor has three terminals. A small control voltage UBEU_{BE} (at the base or gate) governs the large main channel current.

Conduction threshold

  • UBEU_{BE} below the threshold → transistor closed (current ~0),
  • UBEU_{BE} above the threshold → open, conducting.

Two uses

  • amplification: a small change in UBEU_{BE} produces a large change in the output current,
  • switch (0/1): the basis of digital electronics (Nobel 1956).

Notation: UBEU_{BE} — control voltage (base–emitter or gate), threshold — the turn-on threshold voltage.

Frequently asked questions

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How does a transistor amplify a signal?

Small changes in the control voltage cause large changes in the current flowing through the transistor's channel.

›

What is the threshold voltage?

The value of the control voltage above which the transistor starts to conduct current.

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Why did the transistor revolutionize electronics?

It replaced the much larger and less durable vacuum tubes, enabling the miniaturization of circuits.

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