Topics
Electric Charges and Fields
- Electric Charge
- Properties of Electric Charge
- Simple Atomic Structure
- Conductors and Insulators
- Mechanism of Charging of an Object
- Charging by Friction
- Charging by Conduction
- Charging by Induction
- Coulomb's Law (Scalar Form): Force Between Two Point-Charges
- Coulomb's Law in Vector Form
- Forces Between Multiple Charges: Superposition Principle
- Equilibrium of System of Charges
- Electric Field
- Intensity of Electric Field
- Electric Field Intensity Due to a Point-Charge
- Intensity of Electric Field due to a Continuous Charge Distribution
- Electric Lines of Force
- Electric Dipole
- Electric Field due to an Electric Dipole
- Motion of an Electric Dipole in a Uniform Electric Field
- Effect of a Uniform Electric Field on the Motion of a Charged Particle
- Equilibrium of a Charged Body in a Uniform Electric Field
- Introduction to Gauss' Theorem of Electrostatics
- Area Vector
- Flux of a Vector Field
- Gauss' Theorem
- Gaussian Surface and its Properties
- Applications of Gauss' Theorem > Electric Field due to a Point Charge
- Applications of Gauss' Theorem > Electric Field due to an Infinite Line of Charge
- Applications of Gauss' Theorem > Electric Field due to an Infinite Plane Sheet of Charge
- Applications of Gauss' Theorem > Electric Field due to Two Infinite Parallel Sheets of Charge
- Applications of Gauss' Theorem > Electric Field Intensity Just Outside a Charged Conductor
- Applications of Gauss' Theorem > Electric Field due to a Uniformly Charged Thin Spherical Shell
- Applications of Gauss' Theorem > Electric Field due to a Uniformly Charged Sphere
- Overview: Gauss' Theorem
Electrostatics
Current Electricity
Electrostatic Potential, Potential Energy and Capacitance
- Introduction to Electric Potential
- Electric Potential: A Quantitative Approach
- Potential Difference
- Work Done in Moving a Charge in an Electric Field
- Acceleration of a Charged Particle Between Two Points in an Electric Field
- Electric Potential Due to a Point Charge
- Potential due to a Group of Point Charges
- Potential Gradient
- Electric Field as Gradient of Electric Potential: Relation between E and V
- Equipotential Surfaces
- Electric Potential Energy of a System of Charges
- Charged Body Between Parallel Plates
- Potential Due to an Electric Dipole
- Work Done in Rotating an Electric Dipole in an Electric Field
- Electric Potential Energy of an Electric Dipole in an Electrostatic Field
- Electrostatics of Conductors
- Free and Bound Charges
- Dielectrics
- Electric Polarisation of Dielectrics
- Capacitance of a Conductor
- Capacitance of an Isolated Spherical Conductor
- Potential Energy of a Charged Conductor
- Redistribution of Charges: Common Potential
- Introduction to a Capacitor
- The Parallel Plate Capacitor
- Expression for Capacitance of a Parallel-Plate Capacitor
- Dependence of the Capacitance of a Capacitor
- Capacitance of a Parallel-Plate Capacitor with Dielectric Slab between Plates
- Combination of Capacitors
- Energy Stored in a Charged Capacitor
- Force between the Plates of a Charged Parallel-Plate Capacitor
- Effect of Dielectric Insertion on a Capacitor: with and Without a Battery
- Variation of Electric Field and Potential Due to a Charged Sphere
Magnetic Effects of Current and Magnetism
Electric Resistance and Ohm's Law
- Introduction Tо Current Electricity
- Electric Current
- Current Density
- Electric Resistance
- Ohm's Law
- Experimental Verification of Ohm’s Law and Ohmic Resistors
- Exceptions of Ohm's Law : Non-Linear V-I Characteristics
- Mechanism of Flow of Electrons Through the Metal Conductors
- Mobility of Electrons
- Current, Drift Velocity Relation
- Derivation of Ohm's Law with Current Drift Velocity Relation
- Specific Resistance or Electrical Resistivity
- Ohm's law in Vector Form
- Colour Code of Carbon Resistors
- Combinations of Resistances
- An Important Deduction
- Electric Energy and Power
- Commercial Units of Electricity Consumption
- Introduction: D.C. Circuits and Measurements
- Electric cell
- Electromotive Force of a Cell
- Terminal Potential Difference
- Internal Resistance of a Cell
- Relation between E, V, and r
- Combinations of Cells
- Kirchhoff’s Laws
- Wheatstone Bridge
- Metre Bridge: Slide-Wire Bridge
- Potentiometer
- Overview: Electric Resistance and Ohm's Law
Electromagnetic Induction and Alternating Currents
Moving Charges and Magnetism
- Introduction to Magnetic Effect of Current
- Oersted's Experiment
- Concept of Magnetic Field
- Force on a Moving Charge in a Uniform Magnetic Field
- Definition of Magnetic Field on the Basis of Magnetic Force
- Motion of Charged Particles in a Uniform Magnetic Field
- Lorentz Force
- Cyclotron
- Force on a Current-Carrying Conductor Placed in a Uniform Magnetic Field
- Magnetic Field Due to a Current-carrying Conductor: Biot-savart's Law
- Comparison of Coulomb's Law and Biot-Savart's Law
- Rules to Determine the Direction of Magnetic Field
- Applications of Biot-Savart's Law > Magnetic Field at the Axis of a Circular Current-carrying Loop
- Applications of Biot-Savart's Law > Magnetic Field Due to a Straight Current-carrying Conductor of Finite Size
- Applications of Biot-Savart's Law > Magnetic Field at the Centre of a Circular Current-carrying Loop
- Ampere’s Circuital Law
- Applications of Ampere’s Circuital Law > Magnetic Field of a Long Straight Thin Wire
- Applications of Ampere’s Circuital Law > Magnetic Field of a Long Straight Solenoid
- Applications of Ampere’s Circuital Law > Magnetic Field of a Toroidal Solenoid
- Force Between Two Parallel Current-Carrying Conductors : Definition of Ampere
- Comparison Between Electric and Magnetic Forces
- Torque on a Current-Loop in a Uniform Magnetic Field
- Atom as a Magnetic Dipole
- Moving Coil Galvanometer
- Sensitivity of a Galvanometer
- Conversion of a Galvanometer in Ammeter
- Conversion of a Galvanometer in Voltmeter
- Overview: Moving Charges and Magnetic Field
- Overview: Torque on a Current-Loop : Moving-Coil Galvanometer
Electromagnetic Waves
Magnetism and Matter
- Introduction to Magnetism
- Current Loop as a Magnetic Dipole : Magnetic Dipole Moment of Current Loop
- Magnetic Dipole Moment of a Revolving Electron
- The Bar Magnet
- Magnetic Lines of Force
- Current-carrying Solenoid: An Electromagnetic Equivalent of a Bar-magneт
- Magnetic Field of a Magnetic Dipole (Small Bar Magnet)
- Torque on a Magnetic Dipole (Bar Magnet) in a Uniform Magnetic Field
- Potential Energy of a Magnet in a Magnetic Field
- Earth’s Magnetic Field
- Elements of the Earth's Magnetic Field > Angle of Declination
- Elements of the Earth's Magnetic Field > Angle of Dip or Magnetic Inclination
- Elements of the Earth's Magnetic Field > Horizontal Component of Earth's Magnetic Field
- Classification of Substances According to their Magnetic Behaviour
- Some Important Terms Used in Magnetism
- Properties of Dia, Para, and Ferromagnetic Substances
- Explanation of Dia, Para and Ferromagnetism on the Basis of Atomic Model of Magnetism
- Explanation of Demagnetisation by Atomic Model
- Hysteresis: Retentivity and Coercivity
- Differences in Magnetic Properties of Soft Iron and Steel
- Selection of Magnetic Materials
- Overview: Magnetic Field and Earth's Magnetism
- Overview: Magnetic Classification of Substances
Optics
Electromagnetic Induction
- Introduction to Electromagnetic Induction
- Magnetic Flux
- Electromagnetic Induction: Experimental Demonstration
- Faraday's Laws of Electromagnetic Induction
- Induced Current and Induced Charge
- Methods of Changing the Magnetic Flux
- Motion of a Straight Conductor in a Uniform Magnetic Field (Motional EMF)
- Motional Emf: A Conceptual Approach Based on Lenz's Law and Dynamic Flux Analysis
- Motional emf in Rotating a Conducting Rod in a Uniform Magnetic Field
- Self – Induction
- Self-Inductance of a Long Solenoid
- Energy Stored in an Inductor
- Some Examples of the Effect of Self-induced Current
- Mutual Inductance
- Mutual Inductance of Two Long Coaxial Solenoids
- Eddy Currents or Foucault Currents
- Overview: Electromagnetic Induction
Dual Nature of Radiation and Matter
Alternating Current
- Introduction to Ac and Aс Circuits
- Alternating Voltage and Current Developed in a Coil Rotating in Magnetic Field
- Some Definitions Regarding Alternating Voltage and Current
- Mean (or Average) Value of Alternating Current (or Voltage)
- Root-Mean-Square Value of Alternating Current
- Phasors and Phasor Diagrams
- Types of Ac Circuits > Circuit Containing Resistance Only
- Types of Ac Circuits > Circuit Containing Inductance Only
- Types of Ac Circuits > Circuit Containing Capacitance Only
- Types of Ac Circuits > Circuit Containing Inductance and Resistance in Series (L-r Series Circuit)
- Types of Ac Circuits > Circuit Containing Capacitance and Resistance in Series (C-R Series Circuit)
- Types of Ac Circuits > Circuit Containing Inductance and Capacitance (L-C Circuit)
- Types of Ac Circuits > Circuit Containing Inductance, Capacitance and Resistance in Series (L-C-R Series Circuit)
- Power in AC Circuit
- Wattless Current
- Half Power Points, Bandwidth and Q-Factor
- Choke Coil
- Electrical Oscillations in L-C Circuit
- Resonant Circuits
- Frequency Response of AC Circuits
- Alternating-Current Generator
- Transformers
- Utility of Alternating Current in Comparison to Direct Current
- Overview: Alternating Current
Atoms and Nuclei
Electromagnetic Waves
- Introduction to Electromagnetic Waves
- Displacement Current
- Relation Between Conduction Current and Displacement Current
- Concept of Electromagnetic Waves
- Field Magnitude Relation in Free Space
- Important Characteristics of Electromagnetic Waves
- Transverse Nature of Electromagnetic Waves (Qualitative Idea)
- Transverse Nature of Electromagnetic Waves (Quantitative Analysis)
- Electromagnetic Spectrum
- Maxwell's Equation
- Energy Density in Electromagnetic Waves
- Overview: Electromagnetic Waves
Ray Optics and Optical Instruments
- Introduction to Ray Optics
- Introduction to Spherical Mirrors
- Spherical Mirrors
- Few Definitions Related to Spherical Mirrors
- Relation Between Focal Length and Radius of Curvature of a Spherical Mirror
- Rules to Trace the Image Formed by Spherical Mirrors
- Conditions of Image Formation
- Position and Nature of Image Formed by Spherical Mirrors
- Coordinate Geometry Sign Convention for Measuring Distances and Lengths
- Mirror Formula for Concave Mirror
- Mirror Formula for Convex Mirror
- Linear Magnification by Spherical Mirrors
- Uses of Spherical Mirrors
- Introduction to Refraction at a Plane Interface
- Refraction of Light
- Laws of Refraction
- The Refractive Index
- Cause of Refraction
- Physical Significance of Refractive Index
- Reversibility of Light
- Refraction through Parallel Multiple Media
- Refraction of Light Through a Rectangular Glass Block
- Real and Apparent Depths: Normal Displacement
- Critical Angle
- Total Internal Reflection
- Applications of Total Internal Reflection
- Introduction to Refraction at Curved Surfaces
- Coordinate Geometry Sign Convention for Measuring Distances and Lengths
- Refraction at Concave Spherical Surface
- Refraction at a Convex Spherical Surface
- Concept of Lenses
- Converging and Diverging Actions of Lenses
- Some Definitions Related to Lens
- Lens Maker's Formula
- Factors Affecting Focal Length of a Lens
- Image Formation by Thin Lenses
- Ray Diagrams for Formation of Image by a Convex Lens
- Image Formation by Lenses Made of Multiple Materials
- Ray Diagram for Formation of Image by a Concave Lens
- Linear Magnification by Spherical Lenses
- Power of a Lens
- Combined Focal Length of Two Thin Lenses in Contact
- Combination of Lenses and Mirrors
- Prism
- Refraction Through a Prism
- Specific Conditions for Emergent Ray
- Dispersion of White Light by a Prism : Angular Dispersion
- Dispersive Power of an Optical Medium
- Rainbows
- Scattering of Light-Rayleigh's Law
- Phenomena Based Upon Scattering of Light
- Introduction to Optical Instruments
- Power of Aссоmmodation of the Eye
- Visual Angle : Magnifying Power of Optical Instruments
- Magnifying Power of Microscope and Telescope in Terms of Visual Angle
- Simple Microscopе
- Compound Microscope
- Astronomical Telescope (Refracting Type)
- Reflecting Telescope
- Telescope Vs Compound Microscоре
- Resolving Power of Optical Instruments.
- Overview: Reflection of Light: Spherical Mirrors
Electronic Devices
Communication Systems
Wave Optics
- Introduction to Wave Optics
- Wavefront
- Wave Nature of Light and Huygens' Principle
- Huygens Principle
- Behaviour of Plane Wavefront in Reflection and Refraction
- Reflection of a Plane Wave by a Plane Surface
- Refraction of a Plane Wave
- Optical Path
- Effect on Wavelength of Light in Going from One Medium to Another
- Interference of Light
- Principle of Superposition of Waves
- Interference of Light Waves and Young’s Experiment
- Conditions for Constructive and Destructive Interference of Light
- Some Additional Information
- Expression for Fringe Width in Young's Double-slit Experiment
- Change in Fringe Width Under Various Conditions
- No Interference by Two Independent Light-Sources : Coherent Sources
- Conditions for Sustained Interference of Light Waves
- Effect of Introducing a Thin Transparent Plate in the Path of One of the Interfering Beams
- Diffraction of Light
- Types of Diffraction
- Fraunhofer's Diffraction Due to a Single-slit
- Interference Vs Diffraction
- Overview: Wave Optics
Dual Nature of Radiation and Matter
Atoms
Nuclei
Semiconductor Electronics
Junction Diodes
Junction Transistors
Logic Gates
Communication Systems
- Key Points: Magnetic Effect of Electric Current
Introduction:
|
Hans Christian Oersted, a 19th-century scientist, discovered in 1820 that electric current creates a magnetic field. He observed that a magnetic needle near a current-carrying wire deflects, proving the connection between electricity and magnetism. This discovery led to the development of electromagnetism, which is the basis of modern technology like electric motors and generators. In his honour, the unit of magnetic field intensity is named Oersted (Oe). |
Hans Christian |
A magnet is an object that attracts objects made of iron, cobalt, and nickel. A magnet comes to rest in a north-south direction when suspended freely. When current flows through a wire, it creates a magnetic field. This can be observed by the deflection of a compass needle placed near the wire. Winding the wire into a coil enhances this effect, creating an electromagnet, which is useful in various applications.
Properties of Magnet:
- A free suspended magnet always points towards the north and south directions.
- The pole of a magnet that points toward the north direction is called the north pole or north-seeking.
- The pole of a magnet that points toward the south direction is called the south pole or south-seeking.
- Like poles of magnets repel each other, while unlike poles of magnets attract each other.
Experiment 1
1. Aim: To demonstrate that a magnetic field is produced around a wire when an electric current flows through it.
2. Requirements: An inside tray of a used matchbox, a small magnetic needle, long connecting wire, an electric cell, a plug key, a light bulb, and a bar magnet.
3. Procedure
- Place the magnetic needle inside the matchbox tray.
- Wind the wire around the tray several times and connect it to an electric circuit with a cell, plug key, and bulb.
- Mark the magnetic needle's initial position. Bring a bar magnet close to the needle and observe its movement.
- Close the plug key to let current flow; the bulb lights up, and the magnetic needle changes position.
- Open the plug key to stop the current; the needle returns to its original position.

Magnetic effect of current
3. Conclusion: When the current flows through the wire, the magnetic needle changes direction, indicating that a magnetic field is created around the wire. When the current stops, the magnetic needle returns to its original position. This experiment shows that electric current produces a magnetic field, a phenomenon first observed by Hans Christian Oersted.
Experiment 2
1. Aim: To observe the magnetic effect of electric current and its relation to the deflection of a magnetic needle.
2. Requirements: battery, plug key, thick copper wire, connecting wires, magnetic needle.
3. Procedure
- Connect the circuit as shown in the diagram.
- Place a magnetic needle near the copper wire between points A and B.
- Keep the plug key open (circuit OFF) and observe the needle’s position.
- Close the plug key (circuit ON) and note the deflection of the needle.
- Reverse the connections of the cell and observe the new direction of the needle’s deflection.
Magnetic effects of a current
4. Observation
- When the current flows through the wire, the magnetic needle deflects.
- Reversing the current changes the needle’s deflection direction.
5. Conclusion: Electric current creates a magnetic field around a conductor. The field’s direction depends on the current flow. This principle is the basis of electromagnetism, used in motors and generators.
Experiment 3
1. Aim: To observe the magnetic field around a straight current-carrying conductor.
2. Requirements: battery, plug key, thick copper wire, cardboard, magnetic needle, iron filings.
3. Procedure
- Set up the circuit as shown in the diagram.
- Pass the thick copper wire vertically through the centre of the cardboard.
- Close the key to allow a large current (about 1A or more) to flow through the wire.
- Place a magnetic needle at different points around the wire and mark its directions.
- Spread iron filings on the cardboard and gently tap it to observe the pattern formed.
Magnetic field produced around the conductor
4. Observation
- The magnetic needle deflects in circular patterns around the wire.
- Iron filings arrange in concentric circles, showing magnetic field lines.
- The field strength decreases as the distance from the wire increases.
- Increasing the current strengthens the magnetic field.
5. Conclusion: A current-carrying conductor generates a magnetic field around it. The magnetic field forms concentric circles around the wire.
The field strength decreases with distance from the wire. Increasing the current increases the strength of the magnetic field. This experiment confirms that electricity and magnetism are interrelated, forming the basis of electromagnetism.
Maharashtra State Board: Class 10
Key Points: Magnetic Effect of Electric Current
- Electric current creates a magnetic field, shown by compass needle deflection.
- Oersted discovered the link between electricity and magnetism in 1820.
- Reversing current changes the direction of the magnetic field.
- Iron filings form circular patterns, showing magnetic field lines around the wire.
- Magnetic field strength increases with current and decreases with distance.



