1) Magnetism — The Basics
Magnetism is a force that acts at a distance, caused by moving electric charges. Every magnet has two poles: North (N) and South (S). Like poles repel, unlike poles attract.
Types of Magnets:
- Natural Magnets: Lodestone (magnetite, Fe₃O₄) — found in nature. Weak magnetic properties
- Artificial Magnets: Made by humans — bar magnet, horseshoe magnet, U-shaped magnet, electromagnet. Can be made very strong
Magnetic Field and Field Lines:
The magnetic field is the region around a magnet where its influence can be detected. We represent it using magnetic field lines — imaginary lines that show the direction a north pole would move.
1. They originate from the N-pole and terminate at the S-pole (outside the magnet)
2. Inside the magnet, they go from S to N — forming closed continuous loops
3. Two field lines never intersect — if they did, the compass needle would point in two directions, which is impossible
4. Crowded lines → strong magnetic field. Sparse lines → weak field
5. They are concentrated (crowded) near the poles — field is strongest at the poles
6. The tangent at any point gives the direction of the magnetic field at that point
Place a compass near a bar magnet. The N-pole of the compass aligns along the field line. Mark successive positions of the compass needle to trace the complete line. Repeat from different starting points.
(A) N to S (B) S to N (C) Random (D) No field lines inside
Ans: B (inside magnet: S → N; outside: N → S)
(A) Can intersect (B) Cannot intersect (C) Are always straight (D) Start at south pole
Ans: B (two field lines never intersect)
2) Oersted's Experiment — Current Produces Magnetic Field
In 1820, Hans Christian Oersted made a groundbreaking discovery. He placed a compass needle near a current-carrying wire and observed deflection of the needle. This proved that electric current produces a magnetic field.
• When no current flows: Compass needle points towards geographic north (Earth's magnetic field)
• When current flows: Needle deflects (shows that current produces a magnetic field)
• When current direction is reversed: Needle deflects in the opposite direction
• When current is increased: Deflection increases (stronger magnetic field)
• Conclusion: A current-carrying conductor produces a magnetic field around it. The direction depends on the direction of current.
(A) Magnet produces current (B) Current produces magnetic field (C) Light is electromagnetic (D) Heat produces current
Ans: B (current-carrying wire deflects compass needle)
3) Biot-Savart Law (Qualitative) — NEW
The Biot-Savart law gives the magnetic field produced by a small current element. For AMU, you need the qualitative understanding:
• Magnetic field (B) is directly proportional to current (I): B ∝ I
• B is inversely proportional to distance (r) from the conductor: B ∝ 1/r
• B depends on the sine of the angle between current and position: B ∝ sin θ
• Direction of B is given by the right-hand rule
dB = (μ₀/4π) × (IdL × sin θ)/r²
• More current → stronger magnetic field
• Closer to the wire → stronger magnetic field
• Direction of B is perpendicular to both the current and the position vector
4) Magnetic Field Due to a Straight Current-Carrying Wire
When current flows through a straight wire, magnetic field lines form concentric circles around the wire. The direction is given by the Right-Hand Thumb Rule (also called Maxwell's Corkscrew Rule).
Hold the wire in your right hand with thumb pointing in the direction of current. Your curled fingers show the direction of the magnetic field lines.
Alternative (Corkscrew): Imagine a right-handed screw being turned in the direction of current. The direction the screw moves gives the field direction.
B = μ₀I / (2πr)
B = magnetic field strength (tesla, T)
μ₀ = permeability of free space = 4π × 10⁻⁷ T·m/A
I = current (A)
r = perpendicular distance from wire (m)
• B ∝ I (double the current → double the field)
• B ∝ 1/r (double the distance → half the field)
• Direction: circles around the wire (tangential)
Solution:
r = 10 cm = 0.1 m
B = (4π × 10⁻⁷ × 5) / (2π × 0.1) = (20π × 10⁻⁷) / (0.2π) = (20 × 10⁻⁷) / 0.2 = 100 × 10⁻⁷ = 1 × 10⁻⁵ T
(A) Straight lines (B) Concentric circles (C) Ellipses (D) Parabolas
Ans: B (concentric circles centered on the wire)
5) Magnetic Field Due to a Circular Current Loop
When current flows through a circular loop of wire, the magnetic field at the centre is stronger than at other points. The field lines are circular near the wire but become straight at the centre.
B = μ₀I / (2r) (for a single turn)B = μ₀NI / (2r) (for N turns)N = number of turns
I = current (A)
r = radius (m)
• More turns (N) → stronger field (B ∝ N)
• More current (I) → stronger field (B ∝ I)
• Smaller radius (r) → stronger field (B ∝ 1/r)
• Direction at centre: Use right-hand rule — curl fingers along current direction, thumb points in direction of B at centre
Solution:
r = 5 cm = 0.05 m
B = μ₀NI/(2r) = (4π × 10⁻⁷ × 50 × 2) / (2 × 0.05) = (400π × 10⁻⁷) / 0.1 = 4000π × 10⁻⁷ = 1.26 × 10⁻³ T
6) Solenoid and Electromagnet ⭐
A solenoid is a long coil of insulated copper wire wound tightly in the shape of a cylinder. When current flows through it, it behaves like a bar magnet with a N-pole at one end and S-pole at the other.
B = μ₀ × n × I
n = number of turns per unit length = N/L
I = current (A)
μ₀ = 4π × 10⁻⁷ T·m/A
Properties of solenoid field:
• Inside the solenoid: uniform magnetic field (parallel straight lines, equally spaced)
• Outside the solenoid: field is weak (similar to a bar magnet's external field)
• Field depends on n and I, NOT on the diameter (for an ideal solenoid)
Electromagnet:
When a soft iron core is placed inside a solenoid, the magnetic field is greatly enhanced (μ_iron >> μ₀). This combination is called an electromagnet.
• Electromagnet is a temporary magnet — magnetism exists only while current flows
• Strength can be varied by changing current (I) or number of turns (N)
• Polarity can be reversed by reversing current direction
• Soft iron core is used because it can be magnetised and demagnetised easily
• Used in: electric bells, magnetic cranes (lift scrap iron/steel), MRI machines, speakers, relays, circuit breakers
| Property | Permanent Magnet | Electromagnet |
|---|---|---|
| Magnetism | Always present | Only when current flows |
| Material | Steel, alnico, ferrite | Soft iron core + copper coil |
| Strength | Fixed (depends on material) | Variable (change I or N) |
| Polarity | Fixed | Can be reversed (reverse current) |
| Uses | Compass, speakers, fridge magnets | Cranes, bells, relays, MRI, maglev trains |
(A) Bar magnet (B) Electromagnet (C) Both (D) Neither
Ans: C (solenoid with current = electromagnet, behaves like bar magnet)
(A) Steel (B) Soft iron (C) Cobalt (D) Nickel
Ans: B (soft iron — easily magnetised and demagnetised)
(A) Increasing current (B) Increasing turns (C) Adding soft iron core (D) All of these
Ans: D
7) Force on a Current-Carrying Conductor in a Magnetic Field ⭐
When a current-carrying wire is placed in a magnetic field, it experiences a force. This is called the motor effect — it's the principle behind electric motors.
F = B × I × L × sin θ
F = force (newton, N)
B = magnetic field strength (tesla, T)
I = current (A)
L = length of conductor in the field (m)
θ = angle between B and I
Special cases:
• When B ⟂ I (θ = 90°): F = BIL (maximum force)
• When B ∥ I (θ = 0° or 180°): F = 0 (no force)
Stretch your left hand such that the forefinger, middle finger, and thumb are mutually perpendicular:
• Forefinger → direction of magnetic field (B)
• Middle finger → direction of current (I)
• Thumb → direction of force / motion (F)
Mnemonic: FBI — F (thumb) = Force, B (forefinger) = Field, I (middle finger) = Current
The magnetic field of the current interacts with the external magnetic field. The fields add on one side and cancel on the other, creating a net force. This is the Lorentz force acting on moving charges in the wire.
Solution:
θ = 90° → sin 90° = 1
F = BIL sin θ = 0.2 × 3 × 0.5 × 1 = 0.3 N
Solution:
F = BIL sin 30° = 0.2 × 3 × 0.5 × 0.5 = 0.15 N (half the maximum force)
8) Force Between Two Parallel Current-Carrying Conductors — NEW
When two parallel wires carry current, they exert a force on each other. This force is the basis of the definition of the ampere.
F/L = μ₀ × I₁ × I₂ / (2πd)
d = distance between wires (m)
I₁, I₂ = currents in the wires
Direction:
• Same direction currents → wires attract each other
• Opposite direction currents → wires repel each other
One ampere is that constant current which, when flowing through two infinitely long straight parallel conductors of negligible cross-section placed 1 metre apart in vacuum, produces a force of 2 × 10⁻⁷ N per metre length between them.
9) Galvanometer — NEW
A galvanometer is a device used to detect and measure small electric currents. The moving coil galvanometer is the most common type.
• Principle: When a current-carrying coil is placed in a magnetic field, it experiences a torque (turning effect). The coil rotates, and a pointer attached to it moves across a scale
• Construction: A rectangular coil of wire wound on a soft iron core, suspended between the poles of a permanent magnet. The coil is attached to a pointer and a spring
• Working: Current flows through the coil → coil experiences torque → coil rotates → spring provides restoring torque → pointer deflection is proportional to current
• Conversion: Galvanometer can be converted to an ammeter (by connecting a low resistance in parallel = shunt) or to a voltmeter (by connecting a high resistance in series)
10) Electric Motor — Construction and Working ⭐
An electric motor converts electrical energy into mechanical energy. It is one of the most important applications of the motor effect.
Principle:
A current-carrying coil placed in a magnetic field experiences a torque (rotational force) and rotates. The direction of rotation is given by Fleming's left-hand rule.
Construction of a DC Motor:
- Armature (Coil): Rectangular coil of insulated copper wire wound on a soft iron core. Placed between the poles of a strong permanent magnet (or electromagnet)
- Magnet: Provides the magnetic field. Either a permanent magnet or an electromagnet (field coil)
- Split-ring Commutator: Two halves of a split ring (R₁ and R₂). Connected to the two ends of the coil. Reverses the direction of current in the coil every half rotation so that the coil continues to rotate in the same direction
- Brushes: Two carbon brushes (B₁ and B₂) that press lightly against the split ring. They connect the coil to the external circuit (battery)
- Axle: The central shaft around which the coil rotates. Connected to the object to be driven
Working:
- Current enters the coil through the brushes and commutator
- Side AB of coil experiences an upward force, side CD experiences a downward force (Fleming's left-hand rule) → the coil rotates
- After half rotation, the split ring halves swap contacts with the brushes → current direction in the coil reverses
- Now side AB (which was on the left) is on the right, but current reverses → force directions remain the same → coil continues rotating
- This cycle repeats → continuous rotation
Without the commutator, the coil would rotate only half a turn and then stop (or oscillate). The split ring ensures the torque is always in the same direction by reversing the current at the right moment. This gives continuous rotation — the foundation of electric motors!
Electrical Energy → Mechanical EnergyUses: Electric fans, water pumps, washing machines, mixers/grinders, electric trains, electric vehicles (EVs), vacuum cleaners, hair dryers, toy cars
(A) Mechanical → Electrical (B) Electrical → Mechanical (C) Magnetic → Electrical (D) Heat → Electrical
Ans: B (electrical to mechanical energy)
(A) Increase current (B) Reverse current direction every half rotation (C) Decrease current (D) Produce magnetic field
Ans: B (split ring reverses current to maintain rotation in one direction)
11) Electromagnetic Induction ⭐⭐⭐
Electromagnetic induction is the production of electricity from magnetism. This was discovered by Michael Faraday in 1831 and is the principle behind electric generators.
Faraday's Experiments:
- Experiment 1: Move a bar magnet towards a coil connected to a galvanometer. The galvanometer needle deflects — induced current is produced. When the magnet moves away, the needle deflects in the opposite direction
- Experiment 2: Keep the magnet stationary and move the coil. Same result — induced current is produced
- Experiment 3: Place two coils near each other. When the current in the first coil is switched on/off or changed, the galvanometer in the second coil shows deflection
In all three experiments, the common factor is a CHANGE in magnetic flux (the number of field lines passing through the coil). Induced current is produced only when the magnetic flux through the coil changes. If the magnet is stationary, no current is induced.
Faraday's Laws of Electromagnetic Induction — NEW:
Second Law: The magnitude of the induced emf is directly proportional to the rate of change of magnetic flux.
ε = −dΦ/dtε = induced emf (V)
Φ = magnetic flux (Wb)
t = time (s)
Lenz's Law — NEW:
Explanation: When you push a magnet into a coil, the induced current creates a magnetic field that repels the incoming magnet (opposes the motion). When you pull it out, the induced current attracts the magnet (again opposing the motion).
The negative sign in Faraday's law: ε = −dΦ/dt — the minus sign represents Lenz's law!
Stretch your right hand with thumb, forefinger, and middle finger mutually perpendicular:
• Forefinger → direction of magnetic field (B)
• Thumb → direction of motion of the conductor
• Middle finger → direction of induced current
Mnemonic: Right hand = Generator (given motion, find current)
• Left Hand (Motor): Given current → find motion (Electrical → Mechanical)
• Right Hand (Generator): Given motion → find induced current (Mechanical → Electrical)
• GOLDEN RULE: "LEFT = MOTOR (L and M come before R and G in alphabet). RIGHT = GENERATOR"
(A) Oersted (B) Faraday (C) Maxwell (D) Fleming
Ans: B (Michael Faraday, 1831)
(A) Left-hand rule (B) Right-hand rule (C) Right-hand thumb rule (D) Ampere's rule
Ans: B (Fleming's right-hand rule)
(A) Energy (B) Mass (C) Charge (D) Momentum
Ans: A (the induced current opposes the change → work must be done → energy is conserved)
12) Electric Generator — AC Generator and DC Generator ⭐
An electric generator converts mechanical energy into electrical energy. It works on the principle of electromagnetic induction.
Principle:
When a coil is rotated in a magnetic field, the magnetic flux linked with it changes continuously, inducing an alternating emf in the coil.
AC Generator (Alternator):
- Construction: Coil (armature) placed between magnet poles. Coil ends are connected to two slip rings (complete rings). Carbon brushes press against the slip rings to collect current
- Working: Coil rotated mechanically (by turbine or engine). As it rotates, the flux changes → induced current flows. After half rotation, the current direction reverses. This produces alternating current (AC)
- Slip rings: Complete rings that maintain connection regardless of coil rotation. They do NOT reverse the current → output is AC
- Uses: All power plants produce AC electricity (thermal, hydro, nuclear, wind)
DC Generator (Dynamo):
- Construction: Same as AC generator but uses a split-ring commutator (like in a DC motor) instead of slip rings
- Working: The split ring reverses the connection every half rotation, converting the naturally alternating current into direct current (DC) in one direction
- Uses: Bicycle dynamo, old car generators, small DC power sources
| Property | Electric Motor | Electric Generator |
|---|---|---|
| Energy conversion | Electrical → Mechanical | Mechanical → Electrical |
| Principle | Force on current-carrying conductor in B-field | Electromagnetic induction |
| Rule | Fleming's Left-Hand Rule | Fleming's Right-Hand Rule |
| Key parts | Armature, commutator, brushes, magnet | Armature, slip rings (AC) / commutator (DC), brushes, magnet |
| Current produced/used | Uses DC or AC | Produces AC or DC (depending on rings) |
| Applications | Fans, pumps, EVs, trains, mixers | Power plants, bicycle dynamo, wind turbines |
(A) Heating effect (B) Electromagnetic induction (C) Chemical effect (D) Magnetic effect of current
Ans: B (electromagnetic induction)
(A) Motor (B) Generator (C) Transformer (D) Battery
Ans: B
13) Transformer — Step-Up and Step-Down — NEW
A transformer is a device that changes the voltage of an alternating current (AC) supply. It works on the principle of mutual induction.
Vₚ / Vₛ = Nₚ / Nₛ
Vₚ = primary voltage
Vₛ = secondary voltage
Nₚ = number of turns in primary coil
Nₛ = number of turns in secondary coil
For an ideal transformer (no losses):
Vₚ × Iₚ = Vₛ × Iₛ (P_in = P_out)
Types:
- Step-Up Transformer: Nₛ > Nₚ → Vₛ > Vₚ (increases voltage, decreases current). Used at power stations to step up voltage for transmission (reduces I²R losses)
- Step-Down Transformer: Nₛ < Nₚ → Vₛ < Vₚ (decreases voltage, increases current). Used near homes/industries to step down voltage to 220 V for safe use
Power loss in transmission lines = I²R. By stepping up voltage (V ↑), current decreases (P = VI, so I ↓). Lower I means much less I²R loss. This is why electricity is transmitted at 11 kV, 66 kV, 132 kV, 220 kV, or even 400 kV!
Solution:
Vₛ/Vₚ = Nₛ/Nₚ → Vₛ/220 = 5000/100 = 50
Vₛ = 220 × 50 = 11,000 V = 11 kV
Solution:
VₚIₚ = VₛIₛ → 220 × 10 = 11000 × Iₛ
Iₛ = 2200/11000 = 0.2 A (current decreases when voltage increases)
14) Domestic Electromagnetic Appliances and Safety — NEW
Many household appliances use electromagnets or electromagnetic induction:
- Electric Bell: Electromagnet attracts iron armature → hammer strikes gong. When circuit breaks, armature returns and circuit reconnects → continuous ringing
- Magnetic Crane: Large electromagnet lifts scrap iron/steel. Switch off current → releases the load
- Induction Cooktop: Uses electromagnetic induction to heat cookware directly. A coil generates alternating magnetic field → induces eddy currents in the metal pan → heat is produced. Safer and more efficient than gas
- MRI (Magnetic Resonance Imaging): Uses very strong electromagnets (superconducting) to produce detailed images of internal body structures
- Maglev Trains: Use electromagnets to levitate above the track, eliminating friction and allowing speeds over 500 km/h
- Speakers / Headphones: Varying current in a coil produces varying magnetic field → coil moves → attached diaphragm vibrates → produces sound
• Never touch bare wires with wet hands (water reduces body resistance)
• Always use a fuse or MCB in the circuit
• Switch off mains before repairing electrical appliances
• Use three-pin plugs with proper earthing for metal-bodied appliances
• Don't overload sockets with too many appliances
15) PYQ Battle — AMU Past Questions on Magnetic Effect
(A) Current produces magnetic field (B) Magnet produces current (C) Light is electromagnetic (D) Heat produces current
Ans: A
(A) Induced current (B) Force on current-carrying conductor (C) Magnetic field (D) Electric field
Ans: B (force/motion)
(A) Motor (B) Generator (C) Transformer (D) Battery
Ans: B
(A) Straight wire (B) Circular loop (C) Bar magnet (D) Horse-shoe magnet
Ans: C (bar magnet)
(A) Left-hand rule (B) Right-hand rule (C) Right-hand thumb rule (D) Ampere's rule
Ans: B (Fleming's right-hand rule)
(A) Electric bell (B) Crane (C) MRI (D) All of these
Ans: D
(A) Oersted (B) Faraday (C) Maxwell (D) Fleming
Ans: B
(A) Increasing current (B) Increasing turns (C) Adding soft iron core (D) All of these
Ans: D
(A) Can intersect (B) Cannot intersect (C) Are always straight (D) Start at south pole
Ans: B (two field lines never intersect)
(A) Increase current (B) Reverse current direction every half rotation (C) Decrease current (D) Produce magnetic field
Ans: B
(A) B = μ₀I/2r (B) B = μ₀I/2πr (C) B = μ₀I/r (D) B = μ₀I/πr
Ans: A (B = μ₀I/2r)
(A) Left-hand rule (B) Right-hand thumb rule (C) Fleming's rule (D) Ampere's rule
Ans: B (Maxwell's right-hand thumb rule)
(A) Steel (B) Soft iron (C) Cobalt (D) Nickel
Ans: B (soft iron)
(A) Self-induction (B) Mutual induction (C) Electromagnetic induction (D) Both B and C
Ans: D (transformer uses mutual induction, which is a type of electromagnetic induction)
(A) DC only (B) AC only (C) Both AC and DC depending on design (D) Neither
Ans: C (slip rings → AC, split ring/commutator → DC)
(A) Tesla (B) Gauss (C) Weber (D) Henry
Ans: A (tesla, T. 1 T = 10⁴ gauss)
(A) Repel (B) Attract (C) No force (D) Perpendicular force
Ans: B (attract — same direction currents attract)
(A) Conservation of energy (B) Conservation of charge (C) Conservation of mass (D) Conservation of momentum
Ans: A
(A) Reduce weight (B) Reduce eddy current losses (C) Increase strength (D) Improve cooling
Ans: B (laminated core reduces eddy currents, improving efficiency)
(A) Less than primary (B) Greater than primary (C) Equal to primary (D) Zero
Ans: B (step-up → Nₛ > Nₚ → Vₛ > Vₚ)
16) Common Mistakes — DON'T DO THESE!
1. ❌ Left vs Right Hand Confusion: LEFT = Motor (current → motion). RIGHT = Generator (motion → current). Remember: "L comes before R, Motor comes before Generator in alphabet"
2. ❌ Field lines inside vs outside: Outside magnet: N→S. Inside magnet: S→N. Together they form closed loops
3. ❌ Oersted vs Faraday: Oersted = current produces magnetic field. Faraday = magnetic field produces current (opposite!)
4. ❌ Motor vs Generator: Motor uses current to produce motion (electrical→mechanical). Generator uses motion to produce current (mechanical→electrical)
5. ❌ AC vs DC Generator: AC uses slip rings, DC uses split-ring commutator. Confusing these is common!
6. ❌ Electromagnet vs Permanent Magnet: Electromagnet uses soft iron (temporary, variable). Permanent uses steel (fixed)
7. ❌ Commutator in Motor vs Generator: Motor has commutator (reverses current). DC generator also has commutator (converts AC to DC). AC generator has slip rings
8. ❌ Step-up vs Step-down: Step-up = more turns in secondary = higher voltage. Step-down = fewer turns in secondary = lower voltage
9. ❌ F = BIL vs F = BILsinθ: F = BIL is only when B ⟂ I. When angle is given, use sinθ
10. ❌ Transformer works only on AC: Transformer does NOT work on DC (steady DC doesn't produce changing flux → no induction)
17) Quick Revision — One-Liner Summary
| Concept | Key Point |
|---|---|
| Oersted's experiment | Current → magnetic field. Compass needle deflects near current-carrying wire |
| Field lines (outside) | N → S (outside magnet) |
| Field lines (inside) | S → N (inside magnet), closed loops, never intersect |
| Right-hand thumb rule | Thumb = current, curled fingers = field direction (straight wire) |
| Straight wire field | B = μ₀I/2πr, concentric circles, B ∝ I, B ∝ 1/r |
| Circular loop field | B = μ₀NI/2r at centre, stronger for more turns |
| Solenoid | Uniform field inside, B = μ₀nI, behaves like bar magnet |
| Electromagnet | Soft iron core + solenoid, temporary magnet, strength ∝ I, ∝ N |
| Force on conductor | F = BIL sinθ, Fleming's LEFT hand (FBI) |
| Parallel wires force | Same direction → attract. Opposite → repel. Defines 1 ampere |
| Motor | Electrical → Mechanical. Uses commutator. Fleming's LEFT hand |
| Electromagnetic induction | Faraday: changing flux → induced current. Faraday's laws + Lenz's law |
| Generator | Mechanical → Electrical. Slip rings = AC. Commutator = DC. Fleming's RIGHT hand |
| Transformer | Vₚ/Vₛ = Nₚ/Nₛ, P_in = P_out (ideal), AC only |
| Step-up transformer | Nₛ > Nₚ, Vₛ > Vₚ, I decreases (used at power station) |
| Step-down transformer | Nₛ < Nₚ, Vₛ < Vₚ, I increases (used near homes) |
✅ This chapter is all about rules and their applications. Practice identifying which rule applies in which situation. Left hand = motor, right hand = generator, right-hand thumb = field direction. Master these distinctions and you're set!
Next up: Sources of Energy 🌱