2.0\times10^{13} electrons flow through a transistor in 1.0 ms. What is th

John Stewart

John Stewart

Answered question

2021-12-31

2.0×1013 electrons flow through a transistor in 1.0 ms. What is the current through the transistor?

Answer & Explanation

Elaine Verrett

Elaine Verrett

Beginner2022-01-01Added 41 answers

Step 1
The following units that we have are a number of electrons N, and time that they are flowing through a transistor t:
N=2.01013
t=1.0ms=0.001s
Step 2
The difinition of current is what is the total rate of flow of charge past a region in a given time. The definition for electric current is:
1) I=Qt=qNt
where Q is electric charge and q is elemental charge: q=1.61019C
Total current will be:
Step 3
I=1.610192010130.001
=0.0032A
=3.2103mA
Fasaniu

Fasaniu

Beginner2022-01-02Added 46 answers

Step 1
Start with the definition of current:
I=ΔQΔt=(nAvdΔt)qΔt
The number of charge carriers (electrons) in a volume element is:
Ne=nAΔx=nAvdΔ
Substitute into current equation and solve for current:
I=NeqΔt
=(2.0×1013electrons)(1.60×1019C)1.0×103s
3.2×103
A=3.2mA

Vasquez

Vasquez

Expert2022-01-07Added 669 answers

Step 1
The magnitude of the charge of one electron is
q=1.6×1019C
Therefore, if we have a total of
N=2.0×1013 electrons, their total charge would be
Q=Nq=(2.0×1013)(1.6×1019C)=3.2×106C
The current in the transistor is given by
I=Qt
where Q is the total charge of the electrons flowing through it
t=1.0ms=0.001s is the time taken
Substituting into the equation, we find
I=3.2×106C0.001s=0.0032A

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