Physics · Electric Charges and Fields

Electric Charge & Properties

Electric charge is the fundamental quantity on which all of electrostatics rests. Following NCERT Sections 1.2 and 1.4, this note establishes the two kinds of charge, the SI unit coulomb, and how rubbing transfers charge — then settles the three properties that NEET tests directly: additivity, conservation and quantisation. Mastering these closes the door on a recurring family of single-mark traps.

Two Kinds of Charge

The story of electric charge begins with friction. The Greeks knew around 600 BC that amber rubbed with wool attracts light objects; indeed the word electricity descends from elektron, Greek for amber. Centuries of careful experiment reduced these observations to a single, sharp conclusion — there are exactly two kinds of electric charge in nature, and no third has ever been found.

Two glass rods, each rubbed with silk, repel one another. Two plastic rods rubbed with fur likewise repel. Yet a charged glass rod attracts a charged plastic rod. The behaviour is governed by one rule: like charges repel and unlike charges attract. The property that distinguishes the two kinds is called the polarity of charge. Benjamin Franklin named them positive and negative — by convention the charge on glass (or cat's fur) is positive, that on plastic (or silk) is negative.

Figure 1 Like charges — repel + + Unlike charges — attract +
The defining rule of electrostatics: two positive charges push apart, while a positive and a negative charge pull together. Polarity, not magnitude alone, decides the direction.

A simple device that detects charge is the gold-leaf electroscope: a charged object touched to its metal knob sends charge down to two thin gold leaves, which then diverge. The greater the divergence, the greater the charge. A body with excess or deficit of charge is said to be electrified; one with none is electrically neutral.

The SI Unit: Coulomb

In the SI system the unit of charge is the coulomb (C). It is defined through electric current: one coulomb is the charge that flows through a wire in one second when the current is one ampere. The coulomb is an enormous unit for electrostatics — a charge of $-1\,\text{C}$ corresponds to roughly $6 \times 10^{18}$ electrons, a magnitude almost never met in static-electricity problems. For that reason practical charges are quoted in submultiples.

QuantitySymbolValue
SI unit of chargeCcoulomb
Elementary chargee$1.6 \times 10^{-19}\ \text{C}$
Microcoulomb1 µC$10^{-6}\ \text{C}$
Millicoulomb1 mC$10^{-3}\ \text{C}$
Electrons in $-1\,\text{C}$$\approx 6 \times 10^{18}$

Charging by Friction (Electron Transfer)

All matter is built from atoms that are normally neutral — their positive and negative charges exactly balance. To electrify a body we must add or remove charge. In solids the mobile players are the loosely bound electrons; the heavy positive nuclei stay put. When two surfaces are rubbed together, some electrons are dragged from one to the other.

When a glass rod is rubbed with silk, electrons leave the glass and settle on the silk. The rod, now deficient in electrons, becomes positively charged; the silk, with its excess electrons, becomes equally negatively charged. No new charge is created — it is merely transferred. The number of electrons moved is a minute fraction of those present in the material.

Figure 2 Glass rod becomes + Silk cloth becomes − e e e Electrons flow from glass to silk — total charge stays zero
Charging by friction is electron transfer, not creation. The rod loses electrons and turns positive; the silk gains them and turns equally negative. This single picture already foreshadows conservation of charge.

The Point Charge Idealisation

Before stating the properties, NCERT introduces a working simplification. When the sizes of charged bodies are very small compared with the distances between them, we treat each as a point charge — all the charge content of the body assumed concentrated at a single point in space. This idealisation strips away geometry and lets us treat charges as numbers located at positions, which is exactly what makes Coulomb's law and the superposition of forces tractable.

Next in this chapter

The point-charge idea powers the inverse-square force law. See Coulomb's Law for the quantitative force between two point charges.

The Three Basic Properties

Beyond polarity, electric charge obeys three properties that NCERT lays out in Section 1.4 and NIOS echoes in Section 15.1. They are best held side by side, because NEET questions routinely test whether you can keep them distinct.

PropertyStatementKey idea
Additivity Total charge of a system is the algebraic sum of individual charges: $q = q_1 + q_2 + \dots + q_n$ Charge is a scalar; add with signs, no direction
Conservation The total charge of an isolated system remains constant in time Charge is transferred or redistributed, never created or destroyed net
Quantisation Every free charge is an integer multiple of $e$: $q = ne$ $e = 1.6 \times 10^{-19}\ \text{C}$; $n$ is any integer

Additivity of charge

Charge is a scalar: it has magnitude but no direction, just like mass. If a system contains charges $q_1, q_2, \dots, q_n$, the total is simply $q_1 + q_2 + \dots + q_n$, added like ordinary real numbers. The one difference from mass is sign — mass is always positive, but charge may be positive or negative, so signs must be carried through the sum.

Worked example

A system holds five charges of $+1,\ +2,\ -3,\ +4,\ -5$ (arbitrary units). Find the total charge.

Add algebraically with signs: $(+1)+(+2)+(-3)+(+4)+(-5) = -1$. The net charge is $-1$ unit. The directions of the bodies are irrelevant — charge carries no direction, only sign.

NEET Trap

Charge is scalar, not vector

Because charges sit in space and forces between them are vectors, students sometimes treat charge itself as a vector and try to add it like the forces. Charge has no direction — only a sign. It adds as a plain signed scalar.

Add charges algebraically with their signs. Resolve into components only for forces and fields, never for the charges.

Conservation of charge

When two bodies are rubbed, what one body gains the other loses — the charging-by-friction picture already shows this. More generally, within an isolated system of many charged bodies, charges may get redistributed through interactions, but the total charge of the system is always conserved. This has been established experimentally and holds at every scale.

Conservation survives even when charged particles are themselves created or destroyed. When a neutron decays it produces a proton and an electron — equal and opposite charges, so the total is zero before and after. It is the net charge of an isolated system that cannot change, not the existence of the carriers.

NEET Trap

Conservation is about the system, not each body

"Charge is conserved" does not mean every body keeps its charge unchanged. When two identical conductors touch and separate, charge flows between them — each body's charge changes, yet the sum is unchanged. The conserved quantity is the total of the isolated system.

Two identical conducting spheres carrying $q_1$ and $q_2$ share equally on contact: each ends with $\dfrac{q_1+q_2}{2}$, and the sum is preserved.

Quantisation of charge

All free charges are integral multiples of a basic unit $e$. The charge $q$ on any body is therefore $q = ne$, where $n$ is an integer (positive or negative) and $e = 1.6 \times 10^{-19}\ \text{C}$ is the charge carried by a proton; an electron carries $-e$. This fact — that charge comes only in whole lumps of $e$ — is the quantisation of charge. It was first hinted at by Faraday's laws of electrolysis and demonstrated directly by Millikan in 1912.

If quantisation is real, why does charge seem to vary smoothly in the laboratory? Because $e$ is fantastically small. A charge of just $1\ \mu\text{C}$ already contains about $10^{13}$ elementary charges, so adding or removing one $e$ shifts the total by a part in ten trillion — utterly invisible. The grainy nature is lost and charge appears continuous, much as a dotted line looks solid from a distance. Quantisation matters only at the microscopic scale, where charges are a countable few tens or hundreds of $e$.

Worked example

How many elementary charges make up a charge of $4.8 \times 10^{-16}\ \text{C}$? (Take $e = 1.6 \times 10^{-19}\ \text{C}$.)

Use $q = ne \Rightarrow n = \dfrac{q}{e} = \dfrac{4.8 \times 10^{-16}}{1.6 \times 10^{-19}} = 3000$. The body carries exactly $3000$ elementary charges — an integer, as quantisation demands.

NEET Trap

No body can carry a fractional multiple of e

A free body cannot hold $2.5e$ or $6.4e$ of charge. Any quoted charge must satisfy $q = ne$ with $n$ an integer. If a question offers a charge that is not a whole multiple of $1.6 \times 10^{-19}\ \text{C}$, it is physically impossible.

Check: $q \div e$ must come out a whole number. $4.8 \times 10^{-19}\,\text{C} = 3e$ ✓, but $4.0 \times 10^{-19}\,\text{C} = 2.5e$ ✗.

Quick Recap

Electric charge in one screen

  • Two kinds of charge — positive and negative; like repel, unlike attract.
  • SI unit is the coulomb (C); $-1\,\text{C} \approx 6 \times 10^{18}$ electrons, so we use µC and mC in practice.
  • Charging by friction is electron transfer — no new charge is created.
  • Additivity: charge is a scalar; total $= q_1 + q_2 + \dots$, added with signs.
  • Conservation: total charge of an isolated system is constant — not each body's charge.
  • Quantisation: $q = ne$, $e = 1.6 \times 10^{-19}\,\text{C}$; macroscopic charges look continuous because $e$ is tiny.
  • A point charge idealises a small body's charge as concentrated at a point.

NEET PYQ Snapshot — Electric Charge & Properties

Conservation and additivity surface most often through identical-conductor contact problems; quantisation is tested as a concept.

NEET 2025

Two identical charged conducting spheres A and B, each with charge $q$, repel with force $F$. A third identical uncharged sphere is touched to A, then to B, and removed. The new force of repulsion between A and B is:

  • (1) $3F/8$
  • (2) $3F/5$
  • (3) $2F/3$
  • (4) $F/2$
Answer: (1) $3F/8$

Conservation + equal sharing on contact: the third sphere takes $q/2$ from A, leaving A with $q/2$. It then touches B (charge $q$), so both share $\tfrac{q/2 + q}{2} = 3q/4$; B ends with $3q/4$. Since $F \propto q_A q_B$, $F' = F \cdot \dfrac{(q/2)(3q/4)}{q^2} = \dfrac{3F}{8}$. Every step uses additivity and conservation of charge.

NEET 2016

Two identical charged spheres hang from a common point by strings of length $l$, separated by $d$ ($d \ll l$). Charge leaks from both at a constant rate, and they approach with velocity $v$. Then $v$ varies with separation $x$ as:

  • (1) $v \propto x$
  • (2) $v \propto x^{-1/2}$
  • (3) $v \propto x^{-1}$
  • (4) $v \propto x^{1/2}$
Answer: (2) $v \propto x^{-1/2}$

Equilibrium gives $\tan\theta \approx \dfrac{kq^2/x^2}{mg} = \dfrac{x/2}{l}$, so $x^3 \propto q^2$, i.e. $q \propto x^{3/2}$. Differentiating with $\dfrac{dq}{dt}$ constant yields $x^{1/2}v = $ constant, hence $v \propto x^{-1/2}$. The leaking charge changes continuously — consistent with quantisation being invisible at this macroscopic scale.

Concept

Which of the following could be the charge on an isolated body? (Take $e = 1.6 \times 10^{-19}\ \text{C}$.)

  • (1) $4.8 \times 10^{-19}\ \text{C}$
  • (2) $8.0 \times 10^{-19}\ \text{C}$
  • (3) $4.0 \times 10^{-19}\ \text{C}$
  • (4) $2.4 \times 10^{-19}\ \text{C}$
Answer: (1) and (2)

By quantisation $q = ne$ with $n$ an integer. Dividing by $e$: option (1) $= 3e$ ✓, (2) $= 5e$ ✓, (3) $= 2.5e$ ✗, (4) $= 1.5e$ ✗. Only whole multiples of $e$ are permissible charges.

FAQs — Electric Charge & Properties

Quick answers to the points NEET examiners exploit most often.

What are the three basic properties of electric charge?
Electric charge is additive (charges add algebraically like scalars, with their signs), conserved (the total charge of an isolated system stays constant), and quantised (every free charge is an integer multiple of the elementary charge e, so q = ne).
Why does charge appear continuous at the macroscopic level if it is quantised?
The step size e = 1.6 × 10⁻¹⁹ C is extremely small. A charge of just 1 µC already contains about 10¹³ elementary charges, so adding or removing one e changes the total by a negligible fraction. The grainy nature is lost and charge seems to vary continuously, just as a dotted line looks solid from a distance.
Can a body carry a charge of 4.8 × 10⁻¹⁹ C?
Yes. Using q = ne with e = 1.6 × 10⁻¹⁹ C, we get n = 4.8 × 10⁻¹⁹ ÷ 1.6 × 10⁻¹⁹ = 3, an integer. A charge of 4.8 × 10⁻¹⁹ C corresponds to exactly 3 elementary charges and is permitted. A value like 2.5e would be forbidden.
When a glass rod is rubbed with silk, where does the charge come from?
No new charge is created. Some loosely bound electrons are transferred from the glass rod to the silk. The rod, now deficient in electrons, becomes positively charged, and the silk, now with excess electrons, becomes equally negatively charged. The total charge of the rod-plus-silk system stays zero.
Does conservation of charge mean each body keeps the same charge?
No. Conservation applies to the total charge of an isolated system, not to each body individually. Charges can redistribute among the bodies, and charged particles can even be created or destroyed, as long as the algebraic sum of all charges in the system remains unchanged.
What is a point charge?
When the size of a charged body is very small compared with the distances involved, its entire charge is treated as concentrated at a single point in space. This idealisation is called a point charge and underlies Coulomb's law and most calculations in electrostatics.