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Physics / Electricity / Current Electron Relationship

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Current Electron Relationship

Electric current is produced due to the flow of electrons. It is defined as the rate of flow of electrons through a cross section of a conductor. Let us derive a relationship between current and the number of electrons flowing through the conductor.

We know that

$I=frac{q}{t}$ ...............(1)

also

$q= ne$ ................(2)

Combining 1 and 2 we get

$I= frac{q}{t}= frac{ne}{t}$

This is a relationship between amount of current flowing with the number of electrons flowing.

Illustration: A total of $large 6times10^{46}$ electrons flow through a current carrying conductor when connected through an external power supply for 20s. Find the value of current in the conductor.

Solution: Given, Total number of electrons,

$large n=6times10^{46}$ electrons

Time, t = 20 s, Current, I = ?

$large I=frac{ne}{t}=frac{6times10^{46}times1.6times10^{-19}}{20}$ $large [because e=1.6times10^{-19}C]$

$large =frac{6times1.6times10^{-19+46}}{20}$

$large =frac{6times1.6times10^{27}}{2times10}$

$large =3times1.6times10^{27-1}$

$large =4.8times10^{26}; A$

Thus, the current through the conductor is $large =4.8times10^{26}A$ .

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Current Electron Relationship

₹17200 ₹12000 +
Taxes