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I_C = βI_B

PHY067 · Electronics · Class 12 + College

Transistor current gain

Objective: To measure the current gain of an NPN transistor in common-emitter mode.

🧰 Apparatus

  • NPN transistor (BC547)
  • Breadboard
  • Two low-voltage supplies (3 V, 9 V)
  • Base resistor (100 kΩ) and potentiometer
  • Microammeter and milliammeter

📐 Formulas and SI units

I_C = β I_B
I_E = I_B + I_C

💡 Theory

In an NPN transistor a small base current controls a much larger collector current: I_C = βI_B, where β (or h_FE) is typically 100–300. The emitter current is the sum, I_E = I_B + I_C. This is how transistors amplify and switch.

🪜 Procedure

  1. Build the common-emitter circuit on the breadboard.
  2. Set a small base current with the potentiometer.
  3. Read I_B and I_C.
  4. Increase I_B in steps and record I_C.
  5. Plot I_C against I_B; the slope is β.

📋 Observations Simulated values

✅ Result and conclusion

20 µA into the base of a β = 100 transistor gives 2 mA in the collector and 2.02 mA in the emitter.

🔬 In a real lab

β varies widely between transistors of the same type and with temperature; at large I_B the transistor saturates and I_C stops rising.

⚠️ Safety

Low-voltage DC only; check pin order (E-B-C) before switching on.

❓ Quick check

1. I_B = 50 µA, β = 200. I_C?

2. The largest current flows in the…

3. A transistor can act as a…

🏋️ Practice

EasyI_C = 3 mA, I_B = 15 µA. β?

Answer: 200

MediumI_E for that case?

Answer: 3.015 mA

ChallengeName the three terminals.

Answer: Emitter, base, collector