The charge on an electron is $1.6\times10^{-19}$ C. Find the number of electrons that will flow per second to constitute a current of 2A?
Given: charge on an electron is $1.6\times10^{-19}$ C
To find: the number of electrons that will flow per second to constitute a current of 2A
Solution:
The current is defined as the rate of flow of charged particles.
So, $\mathrm{i}=\frac{\mathrm{Q}}{\mathrm{t}}$
Hence the charge flown is, $\mathrm{Q}=\mathrm{i} \mathrm{t}$
So $\mathrm{Q}=2 \times 1=2 \mathrm{C}$
If $\mathrm{N}$ is number of electrons passing and $\mathrm{e}$ is the electronic charge of value $1.6 \times 10^{-19}$
The charge $\mathrm{Q}$ is due to electrons, therefore, $\mathrm{Q}=\mathrm{N} \times \mathrm{e}$
Here $\mathrm{Q}=2 \mathrm{C}$
Then, $\mathrm{N}=\frac{\mathrm{Q}}{\mathrm{e}}=\frac{2}{1.6 \times 10^{-19}}$
$=1.25 \times 10^{19}$ electrons
Related Articles
- If the charge of an electron is 1.6 x 10-19 coulombs, how many electrons should pass through a conductor in 1 second to constitute a 1-ampere current?
- One coulomb charge is equivalent to the charge contained in :(a) $2.6 \times 10^{19}$ electrons(b) $6.2 \times 10^{19}$ electrons(c) $2.65 \times 10^{18}$ electrons(d) $6.25 \times 10^{18}$ electrons
- One eV (electron volt) of nuclear energy is equivalent of:(a) 1.6 × 10−14 J (b) 1.6 × 10−12 J (c) 1.6 × 10−19 J (d) 1.6 × 10−13 J
- What is the absolute mass and charge of an electron?
- a) Define electric current. What is the SI unit of electric current?b) One coulomb of charge flows through any cross-section of a conductor in 1 second. What is the current flowing through the conductor?c) Which instrument is used to measure electric current? How should it be connected in a circuit?d) What is the conventional direction of the flow of electric current? How does it differ from the direction of the flow of electrons?e) A flash of lightning carries 10C of charge which flows for 0.01s. What is the current? If the voltage is 10MV, what is the energy?
- 1. What does an electric circuit mean?2. Define the unit of current.3. Calculate the number of electrons constituting one coulomb of charge.
- If the number of electrons in an atom is 8 and number of protons is also 8, then(i) What is the atomic number of the atom? and(ii) What is the charge on the atom?
- The number of protons and electrons are same in an atom. Then why is it wrong to say that atomic number of an atom is equal to its number of electrons?
- The nucleus of an atom has 5 protons and 6 neutrons. What would be the (a) atomic number, (b) mass number, (c) the number of electrons, and (d) the number of valence electrons, per atom of this element?
- Find the ratio of 50 km per hour to 30 m per second.
- The total number of electrons in a nitrogen atom is 7. Find the number of valence electrons in it.
- Fill in the blanks in the following statements :(a) The number of protons in the nucleus of an atom is called its ....................(b) The total number of protons and neutrons in the nucleus of an atom is called its ....................(c) An atom has atomic mass number 23 and atomic number 11. The atom has .................... electrons.(d) An atom of an element has 11 protons, 11 electrons and 12 neutrons. The atomic mass of the atom is ....................(e) If the nucleus of an atom has atomic number 17, mass number 37 and there are 17 electrons outside the nucleus, the number of neutrons in it is ....................(f) Almost all the mass of an atom is concentrated in a small region of space called the ....................(g) Cathode rays are a beam of fast-moving ....................(h) The anode rays obtained from hydrogen gas consist of particles called ....................(i) The maximum number of electrons that can be accommodated in L shell are ....................(j) The maximum number of electrons that can go into the M shell is ....................(k) The subatomic particle not present in a hydrogen atom is ....................(l) The electron has .................... charge, the proton has .................... charge, and the neutron has .................... charge.
- What is the maximum number of electrons that can go into the N shell of an atom?
- What is the positive charge on the nucleus of an atom due to?
- Prove that the points $(2a, 4a), (2a, 6a)$ and $(2a + \sqrt3 a , 5a)$ are the vertices of an equilateral triangle.
Kickstart Your Career
Get certified by completing the course
Get Started