John Stewart

Answered question

2021-12-31

$2.0×{10}^{13}$ electrons flow through a transistor in 1.0 ms. What is the current through the transistor?

Answer & Explanation

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:
$N=2.0\cdot {10}^{13}$
$t=1.0ms=0.001s$
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) $I=\frac{Q}{t}=\frac{qN}{t}$
where Q is electric charge and q is elemental charge: $q=1.6\cdot {10}^{-19}C$
Total current will be:
Step 3
$I=\frac{1.6\cdot {10}^{-19}\cdot \frac{2}{0}\cdot {10}^{13}}{0.001}$
$=0.0032A$
$=3.2\cdot {10}^{-3}mA$

Fasaniu

Beginner2022-01-02Added 46 answers

Step 1
Start with the definition of current:
$I=\frac{\mathrm{\Delta }Q}{\mathrm{\Delta }t}=\frac{\left(nA{v}_{d}\mathrm{\Delta }t\right)q}{\mathrm{\Delta }t}$
The number of charge carriers (electrons) in a volume element is:
${N}_{e}=nA\mathrm{\Delta }x=nA{v}_{d}\mathrm{\Delta }$
Substitute into current equation and solve for current:
$I=\frac{{N}_{e}q}{\mathrm{\Delta }t}$
$=\frac{\left(2.0×{10}^{13}electrons\right)\left(1.60×{10}^{-19}C\right)}{1.0×{10}^{-3}s}$
$3.2×{10}^{-3}$
$A=3.2mA$

Vasquez

Expert2022-01-07Added 669 answers

Step 1
The magnitude of the charge of one electron is
$q=1.6×{10}^{-19}C$
Therefore, if we have a total of
$N=2.0×{10}^{13}$ electrons, their total charge would be
$Q={N}_{q}=\left(2.0×{10}^{13}\right)\left(1.6×{10}^{-19}C\right)=3.2×{10}^{-6}C$
The current in the transistor is given by
$I=\frac{Q}{t}$
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
$I=\frac{3.2×{10}^{-6}C}{0.001s}=0.0032A$

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?