Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
How to Use This Page
1. Attempt every question yourself first — read the question, write your answer, then compare with the solution here. 2. Master both Fleming's rules — left-hand rule (motor/force) and right-hand rule (generator/induction). They appear in every board exam. 3. Practise diagram descriptions — the motor, generator, domestic wiring, and magnetic field patterns are high-yield diagram questions. Visualise each one. 4. Focus on the Key Concepts section before solving — it gives you the conceptual foundation to answer any variation the board sets. 5. Check the Exam Checklist at the end — if you can tick every item, you are exam-ready.
Key Concepts (Quick Recap)
Magnetic Field and Field Lines
- A magnetic field is the region around a magnet where its magnetic influence (force) can be detected.
- Magnetic field lines are imaginary curves along which a free north pole would tend to move.
- Properties of magnetic field lines:
- They emerge from the North pole and enter the South pole outside the magnet.
- Inside the magnet, they run from South to North — forming closed continuous loops.
- They never intersect each other (a point can have only one direction of the field).
- Closer spacing = stronger field; wider spacing = weaker field.
- The tangent at any point on a field line gives the direction of the magnetic field at that point.
Magnetic Field Due to a Current-Carrying Conductor
- Straight wire: Magnetic field lines are concentric circles centred on the wire. Their spacing increases with distance from the wire (field weakens).
- Right-hand thumb rule: Grasp the wire with your right hand so the thumb points in the direction of conventional current — the curled fingers show the direction of the magnetic field lines around the wire.
- Circular loop: Field lines at the centre are nearly straight (parallel). The direction inside the loop is given by the right-hand thumb rule — curl fingers along the current, thumb gives field direction at the centre. Field is stronger at the centre of the loop.
- Solenoid: A long coil of many turns. Inside, the field is uniform (same at all points) and parallel to the axis. Outside, it resembles a bar magnet — field lines emerge from one end (North) and enter the other (South). The strength of the field is proportional to the number of turns per unit length and the current.
Electromagnet vs Permanent Magnet
| Feature | Electromagnet | Permanent Magnet |
|---|---|---|
| Source of magnetism | Current in a solenoid with soft iron core | Hard steel or alloys (Alnico) |
| Strength | Can be varied by changing current | Fixed |
| Poles | Can be reversed by reversing current | Fixed N and S |
| Behaviour when source removed | Loses magnetism (soft iron core) | Retains magnetism |
| Uses | Cranes, electric bells, loudspeakers | Compasses, fridge magnets |
Force on a Current-Carrying Conductor in a Magnetic Field
- A conductor carrying current placed in a magnetic field experiences a mechanical force (Ampere's force).
- Magnitude: F = BIL (B = magnetic field strength, I = current, L = length of conductor in the field).
- Direction: given by Fleming's left-hand rule.
- The force is maximum when the conductor is perpendicular to the field; zero when parallel.
- The displacement (deflection) of the conductor increases when: (a) current increases, (b) magnetic field strength increases.
Fleming's Left-Hand Rule (Motor Rule)
Stretch the thumb, index finger, and middle finger of your left hand at right angles to each other:
- Index finger → direction of Magnetic field (B), North to South.
- Middle finger → direction of Current (I), conventional current.
- Thumb → direction of Force/Motion on the conductor.
Electric Motor
- Principle: A current-carrying conductor placed in a magnetic field experiences a force. A coil carrying current in a magnetic field rotates due to equal and opposite forces on its two sides.
- Construction: Rectangular coil ABCD between the N and S poles of a permanent magnet. The coil is connected to a source through brushes B1, B2 and a split-ring commutator (two half-rings R1 and R2).
- Current enters via brush B1 → commutator ring R1 → side AB → side BC → side CD → commutator ring R2 → brush B2.
- By Fleming's left-hand rule: Force on AB is downward, force on CD is upward → couple rotates the coil anticlockwise (as seen from the commutator end).
- After half rotation, the commutator halves swap brushes — current in AB reverses direction — forces reverse — coil continues rotating in the same direction.
- Split-ring commutator: Reverses the direction of current through the coil every half rotation, ensuring unidirectional rotation.
- Energy conversion: Electrical energy → Mechanical energy.
Electromagnetic Induction
- The phenomenon of producing an induced EMF (and hence induced current) in a circuit by changing the magnetic flux linked with it.
- Faraday's law: The magnitude of induced EMF is directly proportional to the rate of change of magnetic flux.
- Induced current can be produced by: (a) moving a magnet towards or away from a coil, (b) moving a coil towards or away from a magnet, (c) rotating a coil in a magnetic field, (d) changing current in a nearby coil.
- Fleming's right-hand rule (Generator rule): Stretch the thumb, index finger, and middle finger of your right hand at right angles:
- Thumb → direction of Motion of the conductor.
- Index finger → direction of Magnetic field (B).
- Middle finger → direction of Induced current (I).
Electric Generator
- Principle: Electromagnetic induction — when a coil rotates in a magnetic field, the changing magnetic flux induces an alternating EMF.
- AC Generator: Uses slip rings (two continuous rings) — each end of the coil is connected to a separate slip ring. Current in the external circuit alternates direction every half cycle.
- DC Generator: Uses a split-ring commutator — connections reverse every half rotation, so current in the external circuit flows in one direction only (though it pulsates).
- Generator diagram: Rectangular coil rotated between N and S poles of a magnet. Slip rings (AC) or commutator (DC) connect coil to external circuit via brushes. As coil rotates, the flux through it changes continuously, inducing EMF. Induced current is maximum when the coil is perpendicular to the field and zero when parallel.
- Energy conversion: Mechanical energy → Electrical energy.
Domestic Electric Circuits
- Three-wire system:
- Live wire (Phase): Red or brown insulation; carries current at 220 V (in India); connected to the meter and switchboard.
- Neutral wire: Black or blue insulation; at approximately 0 V; completes the circuit by providing a return path.
- Earth wire: Green or green/yellow insulation; connects metallic bodies of appliances to the earth (ground); safety wire.
- Fuse: A short piece of wire made of a material with a low melting point (e.g., tin-lead alloy). Placed in the live wire. When current exceeds its rated value, the fuse wire melts and breaks the circuit, protecting appliances and preventing fire. Fuses are rated in amperes (e.g., 5 A, 15 A).
- MCB (Miniature Circuit Breaker): Modern replacement for fuses. Automatically trips (switches off) when current exceeds the rated value. Can be reset manually — no replacement needed.
- Short circuit: When live and neutral wires come into direct contact (insulation failure), resistance drops to near zero, and current increases heavily (I = V/R, R ≈ 0). This can cause fire.
- Overloading: When too many appliances are connected to a single circuit, the total current drawn exceeds the safe rating of the wiring. Causes overheating, insulation damage, and fire risk.
Intext Questions
Page 224
Page 228
Page 229
Page 230
Page 235
Q1. The magnetic field inside a long straight solenoid carrying current: (a) is zero (b) decreases as we move towards its end (c) increases as we move towards its end (d) is the same at all points
A long solenoid produces a uniform magnetic field inside it — the field lines are parallel and equally spaced throughout the interior. This is analogous to the uniform field between the plates of a parallel-plate capacitor. Near the ends the field lines begin to diverge, but for a long solenoid, the interior field is practically the same everywhere.
Page 238
Page 240
Page 242
Page 245
Chapter-End Exercise
Q1. Which of the following correctly describes the magnetic field near a long straight current-carrying wire? (a) The field consists of straight lines parallel to the wire. (b) The field consists of straight lines perpendicular to the wire. (c) The field consists of radial lines originating from the wire. (d) The field consists of concentric circles centred on the wire.
Q2. The phenomenon of electromagnetic induction is: (a) the process of charging a body. (b) the process of rotating a coil of an electric motor. (c) producing induced current in a coil due to relative motion between a magnet and the coil. (d) the process of rotating a coil in a magnetic field to produce current.
Q3. The device used for producing electric current is called a: (a) generator (b) galvanometer (c) ammeter (d) motor
Q4. The essential difference between an AC generator and a DC generator is that: (a) AC generator has an electromagnet while a DC generator has a permanent magnet. (b) DC generator will generate a higher voltage. (c) AC generator has slip rings while the DC generator has a commutator (split rings). (d) AC generator has a coil on its armature while the DC generator does not.
- AC generator: Uses slip rings (two continuous conducting rings) — each end of the coil connects to one ring. As the coil rotates, the current in the external circuit alternates direction every half cycle.
- DC generator: Uses a split-ring commutator (two half-rings) — the connections to the external circuit reverse every half rotation, so the current in the external circuit always flows in the same direction.
Both use permanent magnets (or electromagnets), both have armature coils, and voltage is not inherently different.
Q5. At the time of short circuit, the current in the circuit: (a) reduces substantially (b) does not change (c) increases heavily (d) varies continuously
Q10. Choose the correct option: A rectangular coil of copper wires is rotated in a magnetic field. The direction of the induced current changes once in each: (a) two revolutions (b) one revolution (c) half revolution (d) one-quarter revolution
Current drawn by the oven:
I = P / V = 2000 / 220 = 9.09 A (approximately)
The oven draws about 9.09 A, but the circuit is rated for only 5 A. Since the current drawn (9.09 A) is much greater than the circuit's safe rating (5 A), the fuse will blow (or the MCB will trip), and the circuit will be disconnected. The oven will not work.
To operate a 2 kW oven safely, the circuit must be rated for at least 10 A, and a 15 A fuse/circuit should be used. High-power appliances like ovens, geysers, and ACs should always be connected on separate high-current circuits.
Common Mistakes to Avoid
1. Confusing Fleming's left-hand rule with Fleming's right-hand rule. Left-hand rule is for motors (force on a current-carrying conductor). Right-hand rule is for generators (direction of induced current). Remember: Left = Motor (L for Motor/Motion), Right = Generator (R for Generator/Induced current).
2. Forgetting that field lines go N → S outside the magnet but S → N inside. Many students draw all lines from N to S. Inside the magnet, the field lines go from South to North — they form closed loops, not open curves.
3. Mixing up slip rings and split-ring commutator. Slip rings = AC generator (continuous rings, current alternates). Split-ring commutator = DC generator / DC motor (two half-rings, current direction maintained or reversed at the right time).
4. Thinking magnetic field lines can intersect. They never do. At any point, the magnetic field has exactly one direction. If lines intersected, it would mean two directions at one point — physically impossible.
5. Confusing electromagnetic induction with magnetic field creation. Electromagnetic induction is about inducing a current/EMF by changing flux — it is not the same as creating a magnetic field by passing current through a wire. A current-carrying wire produces a field (Oersted); a changing field induces a current (Faraday) — these are two distinct phenomena.
6. Forgetting that the fuse is always placed in the LIVE wire. If the fuse were in the neutral wire and it blew, the appliance would still be connected to the live wire (220 V) — extremely dangerous for anyone who touches it. The fuse must be in the live wire so that when it blows, the appliance is fully disconnected from the high voltage.
7. Wrong explanation of why a motor needs a split-ring commutator. Students often say "to supply current to the coil." The actual reason: to reverse the direction of current through the coil every half rotation so that the torque always acts in the same rotational direction, ensuring continuous rotation. Without the commutator, the coil would oscillate and stop.
8. Reversing the direction in the right-hand thumb rule. Curl fingers = field direction; thumb = current direction. Students sometimes swap these. Remember: thumb always points in the direction of conventional current.
9. Saying "field is zero inside a solenoid." It is the opposite — the field inside a long solenoid is strong and uniform. The field outside is weak (nearly zero for a long solenoid).
10. Confusing the direction of current in a generator with the direction of applied force. In a generator, you apply mechanical rotation (not electrical force). The current is the output, not the input. Do not use Fleming's left-hand rule for a generator.
Exam Checklist
- [ ] I can state the properties of magnetic field lines (at least 4).
- [ ] I can apply the right-hand thumb rule to find field direction around a straight wire.
- [ ] I can apply Fleming's left-hand rule to determine force direction on a conductor.
- [ ] I can apply Fleming's right-hand rule to determine induced current direction.
- [ ] I can explain the working of a DC electric motor with the role of the split-ring commutator.
- [ ] I can explain the working of an AC generator and a DC generator, and distinguish slip rings from commutator.
- [ ] I can describe domestic wiring — live, neutral, earth wires and their colour codes.
- [ ] I can explain the function and placement of a fuse and an MCB.
- [ ] I can define electromagnetic induction and state Faraday's law.
- [ ] I can calculate whether a circuit will blow its fuse given appliance power, voltage, and fuse rating.
- [ ] I can list at least 5 precautions to avoid overloading in domestic circuits.
- [ ] I can distinguish between electromagnet and permanent magnet with examples.
Internal Links
- [Chapter 13 Guide — Magnetic Effects of Electric Current](/school/cbse/class/10/science/cbse-magnetic-effects-of-electric-current)
- [All Class 10 Science Solutions](/school/cbse/class/10/science/solutions)
- [Class 10 Science Subject Guide](/school/cbse/class/10/science)
