In a transistor circuit if emitter current is 10mA and base current is 2mA find collector current alpha and beta.
Answers
0.5 mA
Given that:
α=0.95
Emitter current, I
e
=10 mA
We have:
α=
I
e
I
c
I
c
=α×I
e
I
c
=0.95×10=9.5 mA
Also,
I
e
=I
b
+I
c
10=I
b
+9.5
I
b
=0.5 mA
Answer: Therefore, the collector current is approximately 48.02 mA, α is 0.96 or 96%, and β is 24.
Explanation: Given that the emitter current (Ie) is 10 mA and the base current (Ib) is 2 mA.
We know that the relationship between α and β is given by α = β / (1 + β).
Let's use the equation for the collector current (Ic) in terms of β:
Ic = β × Ib + Ie
Substituting the given values, we get:
Ic = β × 2 mA + 10 mA
Ic = 2β + 10 mA
To find the value of β, we can use the equation β = Ic / Ib. Substituting the given values, we get:
β = Ic / Ib
β = (2β + 10 mA) / 2 mA
β = 1000 × (2β + 10 mA)
Simplifying the equation, we get:
2β = 48
β = 24
Now we can find the value of α using the equation α = β / (1 + β):
α = β / (1 + β)
α = 24 / (1 + 24)
α = 0.96 or 96%
Finally, we can find the value of collector current (Ic) using the equation we derived earlier:
Ic = 2β + 10 mA
Ic = 2 × 24 + 10 mA
Ic = 48.02 mA
Therefore, the collector current is approximately 48.02 mA, α is 0.96 or 96%, and β is 24.