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IGCSE Physics (Extended) - Unit 4: Electricity (Full Cheat Sheet until Series and Parallel Resistance)

📑 TABLE OF CONTENTS

  1. Key Definitions

  2. Important Conversions

  3. Electricity Formulas

  4. Current, Voltage, Resistance

  5. Series and Parallel Circuits

  6. Electric Charge and Energy

  7. Model Questions & Answers with Keywords

  8. Tips to Gain Marks

📘 Key Definitions

Term

Definition (use these exact phrases for marks)

Current (I)

The rate of flow of electric charge.

Voltage (V) or Potential Difference

The work done per unit charge to move a charge between two points.

Resistance (R)

Opposition to the flow of current; it causes energy to be transferred as heat.

Ohm’s Law

The current through a conductor is directly proportional to the voltage across it, provided temperature remains constant.

Charge (Q)

A physical property of matter that causes it to experience a force in an electric field.

Electron flow

From negative to positive.

Conventional current

From positive to negative.

Series Circuit

A circuit where components are connected end-to-end and share the same current.

Parallel Circuit

A circuit where components are connected across the same two points and share the same voltage.

Important Conversions

Quantity

Conversion

1 A (ampere)

1000 mA (milliampere)

1 V (volt)

1000 mV (millivolt)

1 Ω (ohm)

1000 mΩ (milliohm)

1 kΩ

1000 Ω

Time

1 minute = 60 seconds

Electricity Formulas

Formula

What it’s for

Q = I × t

Charge (Coulombs), Current (A), Time (s)

V = I × R

Voltage, Current, Resistance (Ohm’s Law)

E = Q × V

Energy (J), Charge (C), Voltage (V)

P = V × I

Power (Watts), Voltage, Current

P = I² × R

Power when only current and resistance are given

P = V² ÷ R

Power using voltage and resistance

Total R (series) = R₁ + R₂ + …

Total resistance in series

1/Rtotal (parallel) = 1/R₁ + 1/R₂ + …

Total resistance in parallel

Current, Voltage, Resistance

🔹 Current (I)

  • Flows in a closed circuit.

  • Measured using an ammeter in series.

  • Units: Amperes (A)

🔹 Voltage (V)

  • Energy transferred per unit charge.

  • Measured using a voltmeter in parallel.

  • Units: Volts (V)

🔹 Resistance (R)

  • Slows down current.

  • Higher resistance = smaller current (for same voltage).

💡 Ohm’s Law: V = I × R

Current ∝ Voltage if Resistance is constant.

Series and Parallel Circuits

Series Circuit

Feature

Value

Current

Same everywhere

Voltage

Splits between components

Resistance

Adds up: Rₜ = R₁ + R₂ + …

If one component breaks

Whole circuit stops

Parallel Circuit

Feature

Value

Voltage

Same across each branch

Current

Splits between branches

Resistance

1/Rₜ = 1/R₁ + 1/R₂ + …

If one component breaks

Others still work

Electric Charge and Energy

Charge (Q)

  • Formula: Q = I × t

  • Measured in Coulombs (C)

  • 1 Coulomb = charge transferred by 1 A in 1 second

Energy (E)

  • Formula: E = Q × V or E = I × V × t

  • Measured in Joules (J)

📘 Model Questions & Answers with Keywords

🔸 Q1: Define electric current.

Answer (with keywords):

Electric current is the rate of flow of charge in a circuit, measured in amperes (A).

🔸 Q2: A current of 2 A flows for 30 seconds. Calculate the charge.

Formula: Q = I × t

Working: Q = 2 × 30 = 60 C

Answer: 60 Coulombs

Keywords: charge, current, time, Coulombs

🔸 Q3: Explain why a voltmeter must be connected in parallel.

Answer:

A voltmeter must be connected in parallel so that it measures the potential difference across a component without changing the current in the circuit.

🔸 Q4: Two resistors of 4Ω and 6Ω are connected in series. Find total resistance.

Working:

Rtotal = R₁ + R₂ = 4 + 6 = 10Ω

🔸 Q5: Two resistors of 6Ω and 3Ω are connected in parallel.

Formula: 1/R = 1/R₁ + 1/R₂

Working:

1/R = 1/6 + 1/3

= (1 + 2)/6 = 3/6 = 1/2

R = 2Ω

🔸 Q6: A 12V battery supplies 2A of current. What is the power output?

Formula: P = V × I

Working: P = 12 × 2 = 24W

Answer: 24 watts

Keywords: power, voltage, current

🔸 Q7: A device uses 5A for 60s at 6V. How much energy does it use?

Formula: E = I × V × t

Working: 5 × 6 × 60 = 1800 J

Answer: 1800 Joules

🎯 Tips to Gain Marks

  • ALWAYS use correct units (A, V, Ω, J, C, W, s)

  • Show formula first, then working, then answer with units

  • Use correct circuit symbols if drawing:

    • Cell: |‾|

    • Resistor: ─///\─

    • Voltmeter: Ⓥ

    • Ammeter: Ⓐ

  • Label circuit diagrams clearly

  • Include direction of current flow

🔁 Visual Summary Table

Quantity

Formula

Units

Current (I)

I = Q ÷ t

A

Voltage (V)

V = I × R

V

Resistance (R)

R = V ÷ I

Ω

Charge (Q)

Q = I × t

C

Energy (E)

E = Q × V = I × V × t

J

Power (P)

P = V × I = I² × R = V² ÷ R

W

Final Things to Memorise

All formulas in the table above

Definitions with keywords

Circuit rules for series and parallel

Unit conversions (mA to A, etc.)

Power and energy formulas

How to lay out full working in 3 steps:

  1. Formula

  2. Substitution

  3. Final answer with unit