Class 10 Electricity Notes | Complete Chapter Notes, Formulas & Numericals

CLASS 10 SCIENCE • CBSE • NCERT • PHYSICS

Electricity – Complete Chapter Notes

Get complete Class 10 Science Electricity Notes for CBSE and NCERT preparation. Revise electric current, potential difference, resistance, Ohm's Law, resistivity, V-I characteristic graphs, formulas, important concepts and numerical problems in one place.

Class 10 Electricity Notes – Complete Chapter Revision

Welcome to these comprehensive Class 10 Electricity Notes designed especially for CBSE Class 10 Science and NCERT Class 10 Science students. Electricity is an important chapter in Class 10 Physics and is regularly tested through concepts, formulas, numerical problems, graphs and application-based questions in school examinations, pre-board exams and board exams.

These Class 10 Science Electricity notes cover electric current, electric charge, potential difference, electric circuits, resistance, Ohm's Law, V-I characteristics, factors affecting resistance, resistivity and important applications of electrical resistance.

Students can use this page for quick revision before exams and for understanding the important formulas and concepts from the Electricity chapter of NCERT Class 10 Science.

Important Electricity Formulas

I = Q / t
Electric Current
V = W / Q
Potential Difference
R = V / I
Resistance
V = IR
Ohm's Law
R = ρL / A
Resistance & Resistivity
ρ = RA / L
Resistivity

1. Electric Charge and Electric Current

Electric current is the rate of flow of electric charge through a conductor.

I = Q / t

Where I = current, Q = electric charge and t = time.

  • SI unit of charge: Coulomb (C)
  • SI unit of current: Ampere (A)
  • 1 ampere means that 1 coulomb of charge flows through a conductor in 1 second.
Remember: Conventional current is considered to flow from the positive terminal of a cell or battery towards the negative terminal in the external circuit.

2. Electric Potential and Potential Difference

Potential difference between two points is the work done in moving a unit charge from one point to another.

V = W / Q

V = potential difference, W = work done, Q = charge

  • SI unit: Volt (V)
  • Potential difference is measured using a voltmeter.
  • A voltmeter is connected in parallel across the component.

3. Electric Circuit

An electric circuit is a closed conducting path through which electric current can flow.

Common components of an electric circuit:
  • Electric cell or battery
  • Connecting wires
  • Electric switch or key
  • Resistor or other electrical appliance
  • Ammeter
  • Voltmeter
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4. Ammeter and Voltmeter

Instrument Measures Connection
Ammeter Electric current Connected in series
Voltmeter Potential difference Connected in parallel
Exam Tip: Never connect an ammeter directly across a battery because it has very low resistance and a large current may flow through it.

5. Electric Resistance

Resistance is the property of a conductor that opposes the flow of electric current through it.

R = V / I
  • SI unit: Ohm (Ω)
  • Resistance is represented by the symbol R.
  • A conductor has a resistance of 1 Ω if a potential difference of 1 V produces a current of 1 A through it.

6. Ohm's Law

Ohm's Law states that the potential difference across the ends of a conductor is directly proportional to the current flowing through it, provided the temperature and other physical conditions remain constant.

V ∝ I

Therefore,

V = IR

Here, R is the constant of proportionality and represents the resistance of the conductor.

7. Ohm's Law Experiment

The experimental verification of Ohm's Law involves connecting a battery, key, resistor, ammeter and voltmeter in an electric circuit.

Basic arrangement:
  1. Connect the resistor in series with the battery, key and ammeter.
  2. Connect the voltmeter in parallel across the resistor.
  3. Close the key and note the ammeter and voltmeter readings.
  4. Change the number of cells to change the potential difference.
  5. Record different values of V and I.
  6. Calculate V/I for each observation.

Observation Table

Potential Difference V (V) Current I (A) V/I (Ω)
1 0.2 5
2 0.4 5
3 0.6 5
Conclusion: If V/I remains constant, the conductor obeys Ohm's Law.

8. V-I Characteristic Graph

For an ohmic conductor, the graph between potential difference V and current I is a straight line passing through the origin.

Important points:
  • V is directly proportional to I.
  • The graph is a straight line through the origin.
  • The slope of a V-I graph gives resistance.
Slope = V / I = R

9. Factors Affecting Resistance

The resistance of a conductor depends on several factors.

Factor Effect on Resistance
Length of conductor Resistance increases with length.
Area of cross-section Resistance decreases when area increases.
Nature of material Different materials have different resistivities.
Temperature Resistance generally changes with temperature.

For a uniform conductor:

R ∝ L
R ∝ 1/A

10. Resistivity

Resistivity is a property of a material that indicates how strongly it resists the flow of electric current.

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R = ρL / A

Therefore,

ρ = RA / L
  • ρ = resistivity
  • R = resistance
  • L = length of conductor
  • A = area of cross-section
SI unit of resistivity: Ω m (ohm metre)

11. Resistance vs Resistivity

Resistance Resistivity
Depends on length and cross-sectional area. Depends mainly on the nature of the material and temperature.
Symbol: R Symbol: ρ
SI unit: Ω SI unit: Ω m
R = V/I ρ = RA/L

12. Conductors, Insulators, Semiconductors & Heating Elements

Type Examples Important Property
Conductors Copper, Aluminium Low resistance and low resistivity
Insulators Rubber, Plastic Very high resistance
Semiconductors Silicon, Germanium Electrical conductivity between conductors and insulators
Heating Elements Nichrome High resistivity and high melting point
Why is nichrome used in heating elements? Nichrome has relatively high resistivity and a high melting point. Therefore, it can produce considerable heat without melting easily.

13. Important Electricity Numericals

Q1. Calculate the resistance of a conductor if a potential difference of 12 V produces a current of 2 A.

Using R = V/I:

R = 12/2 = 6 Ω

Q2. A current of 3 A flows through a resistor of resistance 4 Ω. Find the potential difference.

Using V = IR:

V = 3 × 4 = 12 V

Q3. A charge of 60 C flows through a conductor in 20 seconds. Calculate the current.

Using I = Q/t:

I = 60/20 = 3 A

Q4. A wire has resistance 10 Ω. If the potential difference across it is 20 V, calculate the current.

I = V/R

I = 20/10 = 2 A

14. Important Board-Style Questions

Q1. State Ohm's Law and write its mathematical expression.
Q2. What is resistance? State its SI unit.
Q3. Define resistivity. Write its SI unit and formula.
Q4. What happens to the resistance of a wire when its length is doubled?
Q5. What happens to resistance when the area of cross-section of a wire is increased?
Q6. Why are copper and aluminium commonly used for electrical wiring?
Q7. Why is nichrome used for making heating elements?
Q8. What does the slope of a V-I graph represent?
Q9. Differentiate between resistance and resistivity.
Q10. A material has very high resistivity. Would it be a good conductor or an insulator? Explain.

15. Application-Based Question

At 20°C, the resistivities of three materials A, B and C are:

A = 1.6 × 10-8 Ωm

B = 6.84 × 10-8 Ωm

C = 1012 Ωm

Identify which material is likely to be a metal, which could be an alloy and which could be an insulator.

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Concept: Materials with very low resistivity are good conductors. Materials with extremely high resistivity behave as insulators. Alloys generally have higher resistivity than pure metals.

16. Quick Concept Check

1. If the diameter of a wire is increased, what happens to its resistance?
2. Why is plastic used as insulation around electrical wires?
3. Why is an ammeter connected in series?
4. Why is a voltmeter connected in parallel?
5. What does a straight-line V-I graph indicate?

17. One-Page Quick Revision

Concept Key Point
Electric Current I = Q/t
Potential Difference V = W/Q
Resistance R = V/I
Ohm's Law V = IR
V-I Graph Slope gives resistance
Resistance and Length R ∝ L
Resistance and Area R ∝ 1/A
Resistivity ρ = RA/L
Resistance Formula R = ρL/A
Resistance Unit Ohm (Ω)
Resistivity Unit Ohm metre (Ωm)
Ammeter Connected in series
Voltmeter Connected in parallel

18. Exam Tips for Class 10 Electricity

  • Learn all important formulas before attempting numericals.
  • Always write the given quantities and required quantity.
  • Write the formula before substituting values.
  • Do not forget SI units in numerical answers.
  • Remember the difference between resistance and resistivity.
  • Remember that an ammeter is connected in series.
  • Remember that a voltmeter is connected in parallel.
  • Practice V-I graph questions.
  • Revise questions based on factors affecting resistance.
  • Practice application-based and competency-based questions.

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