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Class 9–10 · Physics

Static electricity

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Static electricity

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.
Lessons in this chapter
  1. Charge and atoms
  2. Conductors and charging
  3. Induction and earthing
  4. Electroscope
  5. Coulomb's law
  6. Electric field
  7. Potential and energy
  8. Capacitors
  9. Lightning and electrostatic applications

Lessons

1

Charge and atoms

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Protons are positive, electrons negative and neutrons neutral. Neutral objects balance positive and negative charge. Electron transfer charges ordinary objects; like charges repel and unlike attract. Total charge is conserved.

Key relationship

q = ne; e ≈ 1.60×10⁻¹⁹ C

Worked example

Gain 10¹² electrons ⇒ q = −1.60×10⁻⁷ C

2

Conductors and charging

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Conductors allow charge to redistribute; insulators restrict it. Charging can occur through friction, contact or induction. Friction transfers charge rather than creating it. Moisture often helps charge leak away.

Key relationship

total isolated charge before = total isolated charge after

Worked example

Comb gains electrons while hair loses them; combined total remains unchanged.

3

Induction and earthing

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

A nearby charge redistributes a conductor's charges without contact. Insulators can polarise. For charging by induction, ground while the source is near, disconnect ground first, then remove the source. Earth acts as a large charge reservoir.

Key relationship

negative source near grounded conductor → electrons may leave

Worked example

Negative rod near sphere; ground, unground, remove rod ⇒ sphere left positive

4

Electroscope

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Charge spreads through a conducting knob and leaves, causing the leaves to repel. An electroscope detects charge, but a previously neutral instrument's divergence alone does not identify its sign. Earthing can discharge it.

Key relationship

like charges → leaf repulsion

Worked example

Charge knob by contact ⇒ leaves diverge; ground instrument ⇒ leaves collapse

5

Coulomb's law

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Electrostatic force between point charges follows an inverse-square law along their connecting line. In air, use approximately k = 9×10⁹ N m²/C². The medium affects the interaction.

Key relationship

F = k abs(q₁q₂)/r²

Worked example

1 μC and 2 μC, r = 0.3 m ⇒ F = 0.2 N

6

Electric field

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Electric field is force per positive test charge. It points away from positive sources and towards negative ones. Field-line tangents give direction and relative density indicates strength; lines cannot intersect.

Key relationship

E = F/q; point-charge magnitude E = k abs(Q)/r²

Worked example

E = 200 N/C, q = +0.01 C ⇒ F = 2 N along field

7

Potential and energy

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Potential is potential energy per charge. A potential difference gives energy change per charge. Potential is scalar whereas field is vector. A point charge's potential varies as 1/r, not 1/r².

Key relationship

ΔEp = qΔV; point charge V = kQ/r; 1 V = 1 J/C

Worked example

q = 2 C, ΔV = +3 V ⇒ ΔEp = +6 J

8

Capacitors

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

Two conductors separated by insulation store equal and opposite charges. Capacitance is charge magnitude divided by voltage. Larger plate area and smaller spacing generally increase it. Charged capacitors store energy even after a device is disconnected.

Key relationship

C = Q/V; U = ½CV²; unit farad

Worked example

C = 10 μF, V = 12 V ⇒ Q = 120 μC

9

Lightning and electrostatic applications

+−F = k abs(q₁q₂)/r²
Unlike charges attract along their connecting line.

A large potential difference can ionise air and produce a discharge. Lightning protection provides a suitably designed conductive path and grounding. Electrostatic attraction also supports photocopying, spray painting and particle collection.

Key relationship

large potential difference → electrical breakdown of air

Worked example

Toner adheres to selected charged areas in a copier.

Check your understanding

Try answering first, then open the question to compare your reasoning.

1. Charge after losing electrons?

Positive: fewer electrons than protons

2. Triple separation: Coulomb-force factor?

1/3² = 1/9

3. Field direction around a positive source?

Outwards, following force on a positive test charge

4. 12 J change for 3 C: potential difference?

ΔV = 12/3 = 4 V

5. 20 μF capacitor at 5 V: charge?

Q = CV = 100 μC

Sources and scope

Original GetReady teaching notes. The 13 core chapters follow the existing site sequence. Physics to save life is an explicitly labelled older-edition supplement. Check your current book and board instructions for examination scope. Illustrations are schematic. Unless stated otherwise, use g = 9.8 m/s². A physics teacher should review content and edition coverage before it is relied on.