Question

Question #e4173

Answer 1

The current gain is `beta = 49`

Explanation:

Given: `I_0/I_E =0.98" [1]"`

We know that the output current is the current gain `beta` multiplied by the base current:

`I_0 = betaI_b" [2]"`

We know that the emitter current is the output current plus the base current:

`I_E = I_0+ I_b`

`I_E = betaI_b+ I_b" [3]"`

Substitute equations [2] and [3] into equation [1]:

`(betaI_b)/(betaI_b+I_b) = 0.98`

`beta/(beta+1) = 0.98`

`1 -1/(beta+1) = 0.98`

beta+1 = -1/(0.98-1)

`beta+1 = 50`

`beta = 49`