Find the approximate collector current in the given transistor circuit. (Take current gain, β = 100)

Concept:

For a transistor, the base current, the emitter current, and the collector current are related as:

IE = IB + IC

where IC = β IB

β = Current gain of the transistor

Typical base-emitter voltages, VBE for both NPN and PNP transistors are as follows:

• If the transistor is made up of a silicon material, the base-emitter voltage VBE will be 0.7 V.
• If the transistor is made up of a germanium material, the base-emitter voltage VBE will be 0.3 V.
   

Application:

From the given figure, Apply KVL

10 - I_B × R_B - V_BE = 0

Let us assume V_BE = 0.7 V

10 - I_B (1 × 10⁶) - 0.7 = 0

I_B = 9.3 μA

We know that,

I_C = β I_B

Where,

I_C  & I_B = collector current and base current

Therefore,

I_C = 100 × 9.3 μA

= 930 μA

= 0.93 mA

≈ 1 mA