Charge and Coulomb’s Law: The Push and Pull of Electricity
Engineering Exams15 min readSep 17, 2026

Charge and Coulomb’s Law: The Push and Pull of Electricity

Charge and Coulomb’s Law: The Push and Pull of Electricity
15 min read · 2,946 words

Charge and Coulomb’s Law Explained: How Electric Forces Work

In one line: Charge and Coulomb’s Law — exam-ready notes in one glance.

In one line: JEE/NEET Physics ? Electrostatics series ? Part 1 of 8 ? All parts ? Key points – the 30-second versionCharge comes in two kinds: positive and negative -.

JEE/NEET Physics ? Electrostatics series ? Part 1 of 8 ? All parts

? Key points – the 30-second version

  • Charge comes in two kinds: positive and negative – like charges push apart, unlike charges pull together
  • Coulomb’s law: F = kq1q2/r? – looks exactly like gravity, but with a k that is ENORMOUS
  • In addition, k = 9×10? – electric force is ~1036 times stronger than gravity between two protons
  • Charge is quantised (comes in whole electrons) and conserved (never created or destroyed)
  • Quantising the charge: q = ne (n whole electrons, e = 1.6×10?1? C)

Rub a balloon on your hair and it sticks to a wall. Meanwhile, Lightning tears the sky apart. Both are the same thing: charge – one of the universe’s two great forces, cousin of gravity but a million-trillion-trillion times stronger. Part 1 of the Electrostatics series – the opening card of the Class 12 high-weightage block.

In this card

  1. Therefore, two kinds of charge, one simple rule
  2. Coulomb’s law: gravity’s twin
  3. What each letter means
  4. In addition, the k surprise: why electricity rules
  5. Quantisation and conservation
  6. Solved examples
  7. Therefore, common mistakes
  8. This physics in your daily life
  9. Practice set
  10. In addition, recap

Two Kinds of Charge, One Simple Rule

Charge comes in exactly two flavours: positive (+) and negative (-). Therefore, The behaviour rule is one line: like charges repel (push apart), unlike charges attract (pull together). Protons carry +e, electrons carry -e, and almost everything around you is neutral only because the two precisely cancel.

Coulomb’s Law: Gravity’s Twin

Place two charges a distance apart – they push or pull with a force given by Coulomb’s law. Meanwhile, Compare it with Newton’s gravity and the family resemblance is unmistakable:

Coulomb’s law vs gravity: identical 1/r? shape – but electricity’s strength number is 104? times bigger

+q

+q

F = kq1q2/r?

gravity: F = Gm1m2/r? – same shape

k = 9×10? vs G = 6.7×10?11

electric force wins by ~1036 between two protons

F = k ? q1q2 / r?same 1/r? shape as gravity – but k = 9×10? replaces the tiny G = 6.67×10?11
LetterWhat it means (plain words)Value / unit
Fthe push/pull force between the two chargesnewtons (N)
kCoulomb’s constant – electricity’s strength number9 x 10? N?m?/C?
q1, q2the two chargescoulombs (C); e = 1.6×10?1? C
rdistance between the charge CENTRESmetres – always squared

The k Surprise: Why Electricity Rules

Gravity’s G is 6.67×10?11; electricity’s k is 9×10?. Consequently, Between two protons, the electric repulsion beats gravitational attraction by a factor of about 1036 – a billion trillion trillion. Meanwhile, Why doesn’t electricity crush the universe then? In fact, Because ordinary matter is neutral: the positives and negatives cancel almost perfectly, leaving gravity (which never cancels) to run the cosmos at large scales.

Quantisation and Conservation

Quantised: charge comes in whole-electron packets. Notably, You can have 1e, 2e, 100e – never half an electron. q = ne. Conserved: the total charge of an isolated system never changes; rubbing a balloon doesn’t create charge, it TRANSFERS electrons (hair balloon, leaving hair + and balloon -).

Solved Examples

? Easy – the force. Consequently, Two charges, 2 ?C each, 10 cm apart. Force?

Direct: F = 9×10? x (2×10?6)? / (0.1)? = 9×10? x 4×10?1? / 0.01.

= 3.6 N – a tangible push between two specks. Furthermore, That’s k’s enormity at work.

Same charges a metre apart would be: 0.036 N (100x distance 10?4x force, the inverse square). ?

Answer: 3.6 N (repulsive, both positive)

? However, Exam level – the ratio trick. Two charges attract with force F. Moreover, One charge is doubled and the distance halved. New force?

Work in ratios: numerator x2 (charge), denominator ?4 (distance halved r? quartered).

New F = 2 x 4 = 8F.

Check each factor separately – the multiplicative bookkeeping of 1/r? laws. ?

Answer: 8F

? JEE level – electron counting. In fact, How many electrons make up -1 C of charge?

q = ne: n = q/e = 1 / 1.6×10?1?.

n = 6.25×1018 electrons – six billion billion in a single coulomb. Specifically, Now feel why ‘charging’ objects barely dents their electron count: a rubbed balloon shifts maybe a billionth of them.

?

Answer: n ? 6.25 x 1018 electrons

? Notably, Mistakes students make – and how to avoid them

  • Forgetting to square r. The eternal inverse-square trap – square the distance before dividing.
  • Using cm with k. k demands metres and coulombs; a ?C is 10?6 C, a cm is 10?? m. Convert everything first.
  • Sign errors with force direction. The formula gives magnitude; LIKE repels, UNLIKE attracts – set directions by inspection, not by plugging signs blindly.
  • ‘Rubbing creates charge.’ No – it transfers electrons. Specifically, In other words, Total charge is conserved; the balloon gains exactly what the hair loses.

This Physics in Your Daily Life

? Therefore, This physics in your daily life

  • The balloon-and-hair trick is this entire card: rubbing transfers electrons, the charged balloon polarises the wall’s molecules, and unlike-charge attraction sticks it there.
  • Lightning is charge separation gone extreme – clouds rub against air (essentially), build kilomillion-volt charge differences, and the 1036-strong force discharges in a flash.
  • Laundry static and crackling sweaters in dry winter air: electron transfer between fabrics, with no humid air to leak it away.
  • Photocopiers and laser printers guide toner powder with charged drums – Coulomb’s law, printing your documents.
  • Fuel trucks drag earth-chains because transferred charge during fuelling could spark – safety engineering built on charge conservation.

Practice set (answers hidden – try first)

(NEET-level) Two 3 ?C charges, 30 cm apart. Force:
F = 9×10? x 9×10?1? / 0.09 = 0.9 N (repulsive).
(JEE Main-level) One charge doubled, distance doubled. Force becomes:
(x2)/(2?) = ? F/2.
(NEET-level) Charge on 5×1014 electrons:
q = ne = 5×1014 x 1.6×10?1? = 8×10?5 C.
(Concept) A glass rod rubbed with silk becomes positive because:
Electrons transferred FROM glass TO silk – protons never move.
(JEE Main-level) Two charges attract at F. Meanwhile, Both are doubled, distance unchanged:
x2 x2 = 4F.
?? Consequently, Memory tricks & everyday anchors – the 20-second revision

  • F = kq1q2/r?; k = 9×10? N?m?/C?
  • inverse square: distance x10 force ?100
  • Therefore, quantised q = ne, e = 1.6×10?1? C
  • ?? like repels, unlike attracts – set direction by inspection
  • ?? Furthermore, F = kq1q2/r?, k = 9×10? (vs gravity’s 10?11 G)
  • In addition, ?? electric force is ~1036 x gravity between protons
  • ?? charge quantised: q = ne; conserved: rubbing transfers, never creates
  • ?? ratio method for combined changes (charge x2, distance ?2 8F)
  • Therefore, ?? like repel, unlike attract
  • ?? However, F = kq1q2/r?, k = 9×10?
  • ?? charge quantised (q = ne) and conserved
One idea, three doors — open whichever clicks for you
Same concept (why rubbing makes things stick (charge and Coulomb’s law)), three different ways of seeing it. If one door confuses you, try the next — at least one will stick.
Door 1 · The story way

Rub a balloon on your hair and it clings to a wall. Nothing was created: electrons — tiny, movable — were scraped from hair to rubber. Now the balloon has extra minus, the hair extra plus, and opposite charges pull. Static electricity is bookkeeping of scraped electrons.

Door 2 · The numbers way

Coulomb: F = kq₁q₂/r². Two 1 C charges 1 m apart: 9 billion newtons — a monstrous force (k = 9×10⁹). Two balloons rubbed: microcoulombs, centimetres apart → milli-newtons: gentle clinging. Same law, six orders of magnitude apart in charge.

Door 3 · The picture way

Draw the two objects with + and − signs, arrows between them: unlike arrows pointing AT each other (pull), like arrows pointing APART (push). Longer distance, shorter arrows — the 1/r² collapse drawn to scale.

Why is this happening at all? Why does rubbing transfer charge at all? Because different materials hold their outer electrons with different grip (the triboelectric ranking): touching surfaces lets the looser-gripped one donate electrons. Why the huge force? Because k is 10³⁶ times gravity’s G — charge is a vastly stronger currency than mass, which is why a microgram of shifted electrons moves everyday objects.
? Moreover, Recap card – save for revision week

  • ?? Chant: ‘like flees, unlike clings’.
  • ?? k vs G: ‘electricity is 1036 times the bully’.
  • ?? One coulomb: ‘six billion billion electrons’.
  • ?? Daily: balloon-on-wall, winter crackle, lightning – all Part 1.
  • ?? Daily: photocopiers print with Coulomb’s law.

Frequently Asked Questions

What should you know about Two Kinds of Charge, One Simple Rule?

Charge comes in exactly two flavours: positive (+) and negative (-). Moreover, The behaviour rule is one line: like charges repel (push apart), unlike charges attract (pull together). Protons carry +e, electrons carry -e, and almost everything around you is neutral only because the two precisely cancel.

What should you know about Coulomb's Law: Gravity's Twin?

Place two charges a distance apart – they push or pull with a force given by Coulomb’s law. In fact, As a result, Compare it with Newton’s gravity and the family resemblance is unmistakable:

What should you know about The k Surprise: Why Electricity Rules?

Gravity’s G is 6.67×10?11; electricity’s k is 9×10?. Notably, In short, Between two protons, the electric repulsion beats gravitational attraction by a factor of about 1036 – a billion trillion trillion. Meanwhile, Indeed, Why doesn’t electricity crush the universe then? Meanwhile, Because ordinary matter is neutral: the positives and negatives cancel almost perfectly, leaving gravity (which never cancels) to run the cosmos at large scales.

What should you know about Quantisation and Conservation?

Quantised: charge comes in whole-electron packets. Meanwhile, You can have 1e, 2e, 100e – never half an electron. q = ne. Conserved: the total charge of an isolated system never changes; rubbing a balloon doesn’t create charge, it TRANSFERS electrons (hair balloon, leaving hair + and balloon -).

What should you know about Solved Examples?

Direct: F = 9×10? x (2×10?6)? / (0.1)? = 9×10? x 4×10?1? / 0.01. = 3.6 N – a tangible push between two specks. Therefore, That’s k’s enormity at work. Forgetting to square r. The eternal inverse-square trap – square the distance before dividing. Using cm with k. k demands metres and coulombs; a ?C is 10?6 C, a cm is 10?? m. Convert everything first.

Contents: this page covers Charge and Coulomb’s Law: The Push and Pull of Electricity with worked notes, tables, a checklist and a rapid recap.

Charge and Coulomb's Law: The Push and Pull of Electricity - key points summary card

Exam Checklist

  • In addition, read once fully, then tables only
  • Convert each heading into a question
  • Speak five lines aloud as a briefing
  • Therefore, index one line in the fortnight sheet
  • Return on day three and day seven

Exam checklist - actionable revision steps

FAQ

How much of this page is exam-relevant?

Nearly all of it, because the tables and worked items follow the standard question register for this subject.

When should I revisit?

Day three and day seven after the first read, with the drill spoken aloud once.

The Thirty-Second Recap

One page. One topic. Therefore, read the tables twice. Speak the recap once. Moreover, the numbers carry the marks. The names carry the traps. However, revisits beat rereads. Finally, day three and day seven. That is all.

Explain It Simply

Think of this page as a map of one neighbourhood. The big streets are the tables. The landmarks are the numbers. The street names are the terms in bold. However big the city feels, this one neighbourhood fits in a pocket, and a pocket map is what exam week needs. Therefore, walk it once fully, then walk only the streets you forget, and by the second walk the neighbourhood feels like home.

Pocket the map, not the whole city: exams reward the walkable version of every topic.

Recap card - acronyms and revision anchors

Abbreviations That Recur Here

  • JEE.
  • In addition, nEET.
  • LIKE.
  • UNLIKE.
  • Therefore, fROM.
  • TO.
  • AT.
  • In addition, aPART.

Key Takeaways

In conclusion, Charge and Coulomb’s Law: The Push and Pull of Electricity compresses into its tables, its numbers and its checklist above. To summarize, revise twice this week, speak the recap once, and let the acronyms carry the recall. Therefore, this page banks itself in ten honest minutes.

The Plain-Word Walk

Let us walk this page in small words. It began as a long text. Long texts scare readers. However, a map makes them small. Therefore, take the tables as your streets. Walk them once, slow. Then walk them again, fast. The numbers on the walls are your friends. Moreover, the bold words are the street signs. Miss a sign, and you lose your way. However, the walk fixes that too, because the second pass catches what the first pass let slip. In addition, speak one line aloud as you pass each door. A spoken line sticks. A silent line fades. Therefore, the walk ends with a spoken recap, not a closed tab. Finally, the page folds into a pocket map, and exam week loves a pocket map.

Furthermore, the walk has a rule: no new streets on exam eve. However tempting a fresh road looks, the walked streets win. Moreover, your feet know them, and feet beat eyes under a clock. Consequently, the page serves its whole purpose in two walks and one spoken line. Therefore, walk it now. Walk it on day three. Walk it on day seven. Then let the paper ask whatever it wants, because your feet already know the way home.

The Numbers on One Table

Fact LineExam Use
Key points – the 30-secondRecall anchor
– looks exactly like gravity, but with aRecall anchor
Part 1 of the Electrostatics series – theRecall anchor
Meanwhile, Compare it with Newton'sRecall anchor
shape – but electricity's strengthRecall anchor

Rapid recap card - revision anchors
Source anchor card - primary references

The Echo Round

  • Numbers to carry: 1 , 8 , 30 , 1036 , 1. , 12 , 104 , 6..
  • Acronyms to carry: JEE , NEET , LIKE , UNLIKE , FROM , TO , AT , APART.
  • Words worth keeping: anchor, register, corridor, calibration, diligence, threshold, plateau, buffer.
  • Walk date one, day three, day seven – the pocket map rule.

Moreover, the echo round exists because retrieval beats rereading, and ten numbers plus eight acronyms, spoken once, outperform an hour of passive scrolling. Therefore, close every revision with this list aloud, and the page banks itself.

The Long Walk in Short Words

Here is the page again, told the easy way. A big topic sat on a long page. Long pages scare tired minds. However, a good walk makes them small. Therefore, we walk. First, we find the doors. The doors are the headings. Each door leads to one room. Moreover, each room holds one idea. Some rooms have tables. Tables are like shelves: facts sit in rows, and rows are easy to count. Some rooms have lists. Lists are like pegs: hang one fact on each peg, and the pegs hold the weight. Therefore, we do not read the whole house at once. We enter one room, take one shelf, speak one line, and move on.

However, the walk has rules. Rule one: no new rooms on exam eve. Rule two: speak as you walk, because a spoken line sticks where a silent line fades. Rule three: count the doors each time, because a door count is a fact count in disguise. In addition, the walk gets faster each day. Day one takes twenty minutes. Day three takes ten. Day seven takes five. Moreover, by day seven the house feels like home, and homes do not scare anyone. Therefore, the exam walks into your home, not the other way around.

Furthermore, this page had one job when it was written: to take a wide topic and make it walkable. The tables cut it wide. The lists cut it deep. The drill cuts it sharp. However, the walk cuts it small, and small is what the pocket holds. In addition, the pocket is what walks into the exam hall with you. So here is the last rule, the one that ends every walk: fold the page, speak the recap, close the tab. Then let the day go on, because the map is in the pocket now, and the pocket does not forget what the feet have walked three times.

Therefore, Charge and Coulomb’s Law: The Push and Pull of Electricity is not a long page any more. It is a small map with a few doors, a few shelves and one spoken line. Moreover, that is all any exam topic ever was, under the right walk. Finally, walk well, and the marks follow the way water follows a slope – not because it tries, but because the path was made walkable.

Words From This Page Worth Keeping

  • Anchor: the fact every other fact hangs from.
  • Register: the exam’s own language and tone.
  • Threshold: the line that separates safe from sorry.
  • Calibration: matching effort to evidence, not mood.
  • Plateau: the flat week only review escapes.
  • Buffer: the spare marks that absorb bad days.
  • Diligence: the clock’s favourite strategy.

Moreover, these seven words travel across every subject this site covers, and using them precisely is the cheapest polish an answer can buy.

The Subject Word Bank

  • Electrostatics: charge at rest, the chapter’s frame.
  • Permittivity: the medium’s permission slip.
  • Inverse-square: the law distance enforces.
  • Quantisation: charge comes in packets.
  • Triboelectric: the rubbing that separates charge.
  • Superposition: forces adding like vectors.

Numbers to Carry

  • 1 , 8 , 30 , 1036 , 1. , 12 , 104 , 6..

Acronyms to Carry

  • JEE , NEET , LIKE , UNLIKE , FROM , TO , AT , APART.

The Two-Minute Ritual

Moreover, close every revision with this ritual: recite the word bank aloud, count the numbers once, and name the acronyms once. Therefore, sixty seconds of retrieval outperform an hour of rereading, and the exam hall pays for retrieval, not for familiarity. However, the ritual only works if it closes the session – open tabs do not count as closure.

The Framework Line to Memorise

Coulomb’s law is a validated framework: an inverse-square protocol between charges, with symmetric authorization – each force validated as exactly the other’s opposite.

The Quick Table

AnchorCarry Value
Day-one read20 minutes
Day-three read10 minutes
Day-seven read5 minutes
Spoken recap1 line
Revisit window3 days
Word bank close60 seconds

Moreover, every worked example runs the same algorithm: deploy the inverse-square parameter, validate the units configuration, and let the superposition framework authorise the final vector – three steps, no exceptions.

Quick revision

  • Charge comes in two kinds: positive and negative – like charges push apart, unlike charges pull together
  • Coulomb’s law: F = kq1q2/r? – looks exactly like gravity, but with a k that is ENORMOUS
  • In addition, k = 9×10? – electric force is ~1036 times stronger than gravity between two protons
  • Charge is quantised (comes in whole electrons) and conserved (never created or destroyed)
  • Quantising the charge: q = ne (n whole electrons, e = 1.6×10?1? C)
  • Therefore, two kinds of charge, one simple rule
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Sources & official references

External references for fact-checking and further reading.