Question

The charge on an electron is 1.6x10^-19 C. Find the number of electrons that will flow per second to constitute a current of 2A.

Answer 1

The basic formula for electric current through a conductor is ,

I= nq/t

Where, I is electric current, elementary charge and n is number of electrons.

Now what you have given is, I= 2A, q= 1.6x10^-19 C and t= 1 second

Note: unit of current is ampere only when charge is measured in coulomb and time is measured in seconds. If time is measured in hours or mins, you first have to convert it into seconds. Also, since n is number of electrons, it is a unitless quantity.

Now plugging in all the values in the advice formula will give you answer i.e number of electrons.

2= n(1.6x10^-19)/1

n= 2/1.6x10^-19

n= 1.25 x 10^19

Answer 2

Current is the amount of charge passing through a conductor in a particular interval of time.

So according to the definition, the formula for the current is:

I = Q/t

I = 2 A and t = 1 sec

Therefore,

Q = I*t

Q = 2*1 = 2 C

One electon consists of a charge of 1.6*10^-19 C. Then the number of electrons passing would be:

Q = n*e

n = Q/e

n = 2/(1.6*10^-19) = 1.25*10^19 electrons






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