Skip to content
← Physics

Physics · Class 12 Science

Ch 1Electric Charges and Fields — Class 12 Physics, concept-first.

Electricity begins with a simple observation known since antiquity: a piece of amber, rubbed vigorously with fur or cloth, starts to attract small bits of straw, paper or dry leaves. The Greek word for amber, elektron, is the root of every modern word for electricity.

42

Q&A

13

Concepts

~5m

Unit weightage

Start learning — read this chapter →

Key concepts

Hover a concept to preview it and jump to its most relevant Q&A.

Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

1.1

Introduction

Electricity begins with a simple observation known since antiquity: a piece of amber, rubbed vigorously with fur or cloth, starts to attract small bits of straw, paper or dry leaves.

1.2

Electric Charge and Its Properties

What is electric charge? Charge is a fundamental, intrinsic property of certain elementary particles (such as the electron and the proton), just as mass is.

1.3

Coulomb's Law

Charles Augustin de Coulomb measured, using a sensitive torsion balance, exactly how the force between two small charged spheres depends on their charge and their separation.

1.4

Forces Between Multiple Charges: The Superposition Principle

Coulomb's law, as stated, describes the force between exactly two point charges. Real situations almost always involve more than two -- a collection of charged particles, ions in a crystal, or protons…

1.5

Continuous Distributions of Charge

Coulomb's law and the superposition principle, as stated so far, apply directly only to a finite collection of point charges.

1.6

The Electric Field

Coulomb's law, as stated in Section 1.3, appears to describe an "action at a distance": charge seems to exert a force on charge instantly, across empty space, with nothing physical passing between the…

1.7

Electric Field Lines

Because an electric field cannot be seen directly, Michael Faraday introduced a simple and enduring way of picturing it: the electric field line, a continuous curve drawn in space such that the tangen…

1.8

The Electric Dipole

Many physically important charge arrangements are not a single isolated charge but a pair of equal and opposite point charges held a small, fixed distance apart.

1.9

Electric Field of a Dipole on Its Axis

Consider a dipole made of charges at point and at point , a distance apart, with centre , and consider a point lying on the extension of the dipole axis beyond the positive charge, at distance from th…

1.10

Electric Field of a Dipole on Its Equatorial Line

Now consider a point on the dipole's equatorial line -- the perpendicular bisector of the line joining and -- at distance from the centre .

1.11

Electric Field of a Dipole at a General Point

The axial result of Section 1.9 and the equatorial result of Section 1.10 are, in fact, two special cases of a single general formula for the field of a short dipole at a point whose position vector (…

1.12

Torque on an Electric Dipole in a Uniform Electric Field

Sections 1.9-1.11 considered the field produced by a dipole. This section instead asks what happens to a dipole when it is placed inside someone else's field -- specifically, a UNIFORM external electr…

1.13

Electric Flux

Before Gauss's theorem can be stated, one more quantity must be defined precisely: electric flux, the measure of how much of an electric field passes through a given surface.

1.14

Gauss's Theorem

Gauss's theorem (sometimes called Gauss's law) is one of the four fundamental equations of electromagnetism, and it states an exact, general relationship between the electric flux through any closed s…

1.15

Application of Gauss's Theorem: Field Due to an Infinitely Long Straight Charged Wire

The problem. Find the electric field at a perpendicular distance from an infinitely long, thin, straight wire carrying a uniform linear charge density (Section 1.5).

1.16

Application of Gauss's Theorem: Field Due to a Uniformly Charged Infinite Plane Sheet

The problem. Find the electric field near an infinite, thin, flat sheet carrying a uniform surface charge density (Section 1.5).

1.17

Application of Gauss's Theorem: Field Due to a Uniformly Charged Thin Spherical Shell

The problem. Find the electric field due to a thin spherical shell of radius carrying a total charge spread uniformly over its surface, both outside the shell and inside it.

Summary

This sub-topic built up the WBCHSE Unit 1 account of electric charges and fields in the order the syllabus lists it.

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 15 questions15 questions
  1. Q1If an electric dipole of moment p be placed along a uniform electric field of intensity E, the torque acting on the dipole is (a) τ = p × E…Preview
  2. Q2State Gauss' theorem. With the help of this theorem, find out the electrical intensity at any nearby point due to a uniformly charged thin a…Preview
  3. Q3State Gauss's theorem for electrostatics. Applying this theorem, find the expression for the electric field at any point due to a long thin…Preview
  4. Q4Electric field intensity at a point in between two infinite plane parallel sheets due to opposite charges of same surface charge densities σ…Preview
  5. Q5A ............ charged particle produced an electric field only around it. (Fill up the blank.) **OR** Above Curie temperature, a ferromagne…Preview
  6. Q6A charge Q is placed at the centre of the line joining two charges +q and +q. The system will be in equilibrium if Q is (a) -q (b) -q/2 (c)…Preview
  7. Q7Applying Gauss's theorem, find the electric field at any point due to a uniformly charged infinite conducting thin plate. (3) **OR** (a) Def…Preview
  8. Q8Derive the expressions for the electric field intensity and potential at any point along the axial line of an electric dipole. [2+1] **OR**…Preview
  9. Q9A charge Q is situated inside a cube placed in air having electric permittivity ε0. The electric flux passing through one of the surfaces of…Preview
  10. Q10State Gauss theorem in case of electrostatics. Using theorem, find the expression for the electric field of a thin infinitely long straight…Preview
  11. Q11The lines of force of an electric field is shown in the figure below. On which point is the electric field intensity maximum ? (a) A (b) B (…Preview
  12. Q12Two point charges are placed 0·18 m apart in air. One charge is four times the other charge. If the electric field is zero at a point on the…Preview
  13. Q13The electric field intensity due to an electric dipole at a distance r from its centre in axial position is E. If the dipole is rotated thro…Preview
  14. Q14Consider an infinite thin plane lamina of uniformly positive charged having a surface charge density σ. At a point P of distance r very near…Preview
  15. Q15The electric field acting at a region is E = (3î − 4ĵ + 2k̂) V/m. In that region the electric flux associated with a square of side 2 m plac…Preview

More questions

27 Q
+Show 8 questions8 questions
  1. Example 1State the three fundamental properties of electric charge -- additivity, conservation, and quantisation -- explaining each in one or two sen…Free
  2. Example 2State Coulomb's law in words and write it as a vector equation for the force $\vec{F}_{12}$ exerted by charge $q_1$ on charge $q_2$. Identif…Free
  3. Example 3Two point charges of $+3\times10^{-6}\ \text{C}$ and $-5\times10^{-6}\ \text{C}$ are placed $0.4\ \text{m}$ apart in vacuum. Calculate the m…Free
  4. Example 4State the principle of superposition of electric forces. Two charges of $+2\ \mu\text{C}$ each are fixed at $x=0$ and $x=0.2\ \text{m}$ on t…Preview
  5. Example 5Starting from Coulomb's law, define the electric field at a point and derive the expression for the electric field due to an isolated point…Preview
  6. Example 6Define an electric dipole and its dipole moment, stating the magnitude, direction and SI unit of the dipole moment. A dipole is made of char…Preview
  7. Example 7Derive the expression for the electric field at a point on the axial line of a short electric dipole at distance $r$ from its centre, for $r…Preview
  8. Example 8Define electric flux through a surface, giving its formula and SI unit. Explain briefly why electric flux is central to the statement of Gau…Preview
+Show 9 questions9 questions
  1. Q9Explain why electric charge is said to be quantised, stating the value of the elementary charge $e$. Why is it impossible, in practice, to o…Free
  2. Q10Illustrate the law of conservation of charge using the example of $\beta^-$ decay, in which a neutron changes into a proton, an electron and…Free
  3. Q11State, in your own words, the principle of superposition for the electric force on a charge due to several other point charges, and explain…Free
  4. Q12Define linear charge density $\lambda$, surface charge density $\sigma$ and volume charge density $\rho$ for a continuous distribution of ch…Preview
  5. Q13List four properties of electric field lines, and use these properties to explain why two field lines can never intersect each other.Preview
  6. Q14Derive the expression for the electric field at a point on the equatorial line (perpendicular bisector) of a short electric dipole at distan…Preview
  7. Q15Write down the general expression for the electric field of a short dipole at a point whose position vector makes angle $\theta$ with the di…Preview
  8. Q16Derive the expression $\tau = pE\sin\theta$ for the torque on an electric dipole of moment $p$ placed in a uniform external electric field $…Preview
  9. Q17State Gauss's theorem mathematically, explaining the meaning of every symbol in it, and explain why the theorem is true for ANY closed surfa…Preview
+Show 10 questions10 questions
  1. Q18Two point charges $+2\ \mu\text{C}$ and $+3\ \mu\text{C}$ are placed $0.3\ \text{m}$ apart in air. Calculate the force between them.Free
  2. Q19Three equal point charges of $+1\ \mu\text{C}$ each are placed at the corners of an equilateral triangle of side $10\ \text{cm}$. Find the m…Free
  3. Q20Find the magnitude of the electric field at a distance of $2\ \text{m}$ from an isolated point charge of $+5\ \mu\text{C}$ in air.Free
  4. Q21An electric dipole consists of charges $+4\ \mu\text{C}$ and $-4\ \mu\text{C}$ separated by $2\ \text{mm}$. Find (a) the dipole moment, and…Preview
  5. Q22For the same dipole as the previous question (dipole moment $8\times10^{-9}\ \text{C·m}$), find the magnitude of the electric field on its e…Preview
  6. Q23An electric dipole of moment $5\times10^{-8}\ \text{C·m}$ is placed in a uniform electric field of magnitude $2\times10^{4}\ \text{N/C}$ suc…Preview
  7. Q24A uniform electric field of magnitude $1000\ \text{N/C}$ passes through a flat surface of area $0.5\ \text{m}^2$ whose normal makes an angle…Preview
  8. Q25An infinitely long straight wire carries a uniform linear charge density $\lambda = 2\times10^{-6}\ \text{C/m}$. Using Gauss's theorem, find…Preview
  9. Q26An infinite plane sheet carries a uniform surface charge density $\sigma = 8.85\times10^{-8}\ \text{C/m}^2$. Using Gauss's theorem, find the…Preview
  10. Q27A thin spherical shell of radius $10\ \text{cm}$ carries a total charge of $2\ \mu\text{C}$ uniformly spread over its surface. Using Gauss's…Preview