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JEE Main202127 Aug 2021Evening ShiftPhysicsSemiconductorsActual

For a transistor α and β are given as α = I C I E and β = I C I B . Then the correct relation between α and β will be:

Options

  1. Aα = 1 - β β
  2. Bα β = 1
  3. Cβ = α 1 - α
  4. Dα = β 1 - β

Correct answer

C. β = α 1 - α

Step-by-step solution

In the case of the transistor the relation between emitter current, base current and, the collector current is, i E = i B + i C , ⇒ i E i C = i B i C + 1 , ⇒ 1 α = 1 β + 1 ⇒ β = α 1 - α

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