Electricity and Magnetism
Current, Ohm's law, household wiring, fuses and earthing, kWh units, AC vs DC, magnets, motors, generators and transformers for CGPSC Prelims and Mains GS-II.
Prerequisites
- Motion and Force, for force and energy.
- Light and Sound is not needed, but the idea of an electromagnetic wave links the two pages.
- Energy Resources is the natural follow-up: how the electricity explained here is produced.
The Hook: From Korba’s Coal to Your Switchboard
Korba (कोरबा) is called the power capital of Chhattisgarh. Coal from giant open-cast mines such as Gevra is burnt in thermal power stations, the steam spins turbines, and generators turn that motion into electricity. Transformers raise its voltage for long-distance lines, lower it again near your village, and finally a fuse or MCB guards the wires in your house.
Every step in that chain is a law of electricity and magnetism. Why is power sent at very high voltage? Why is household wiring in parallel? Why does a metal-bodied cooler need a third, earth wire? This page answers those questions.
Why it matters: Prelims asks “which device works on which principle” and household-safety questions. Mains P-IV asks short explanations (fuse vs earthing, AC vs DC, transformers), often linked to energy and Chhattisgarh’s power sector.
Basic Quantities
| Quantity | What it is | SI unit | Measured by |
|---|---|---|---|
| Electric charge | Property of matter; electrons carry negative charge | coulomb (C) | — |
| Current (विद्युत धारा), I | Rate of flow of charge | ampere (A) | Ammeter, connected in series |
| Potential difference (विभवांतर), V | Work done to move unit charge between two points; the “push” | volt (V) | Voltmeter, connected in parallel |
| Resistance (प्रतिरोध), R | Opposition to the flow of current | ohm (Ω) | — |
| Power, P | Rate of using electrical energy | watt (W) | — |
By convention, current flows from the positive to the negative terminal. Electrons actually move the other way.
Ohm’s law
At constant temperature, the current through a conductor is proportional to the potential difference across it:
$$ V = IR $$Resistance depends on: the material (its resistivity), the length (longer wire, more resistance), the thickness (thicker wire, less resistance) and the temperature (for metals, resistance rises with temperature).
| Class of material | Examples | Use |
|---|---|---|
| Conductors | Silver (best), copper, aluminium | Copper for house wiring; aluminium for overhead transmission lines (light and cheap) |
| Insulators | Rubber, PVC, glass, porcelain, dry wood | Wire coatings, pylon insulators |
| Semiconductors | Silicon, germanium | Chips, solar cells, LEDs, transistors |
| Superconductors | Certain materials cooled below a critical temperature | Zero resistance; strong magnets in MRI machines and some maglev trains |
Series vs parallel
| Point | Series | Parallel |
|---|---|---|
| Current | Same through every component | Divides among branches |
| Voltage | Divides among components | Same across every branch |
| If one bulb fuses | All go off (the circuit breaks) | Others keep working |
| Total resistance | Adds up (increases) | Less than the smallest single resistance |
| Example | Old-style decorative bulb strings; a fuse is placed in series with the live wire | Household wiring |
Why household appliances are connected in parallel: each appliance gets the full mains voltage, each can be switched on or off independently, and one failure does not cut the others.
Heating Effect of Current
When current flows through a resistance, electrical energy turns into heat. This is the Joule heating effect: the heat produced is proportional to \( I^{2}Rt \) (the square of the current, the resistance and the time).
| Device | Material and reason |
|---|---|
| Heater, iron, toaster, geyser elements | Nichrome (nickel–chromium alloy): high resistivity and does not oxidise easily when red-hot |
| Filament bulb | Tungsten: very high melting point (about 3,400 °C). Bulbs are filled with an inert gas such as argon or nitrogen to lengthen filament life |
| Fuse | A wire of low melting point (traditionally a tin–lead alloy) that melts and breaks the circuit when the current is too high |
Most of the energy in a filament bulb is wasted as heat. LEDs give the same light for a small fraction of the power, which is why governments have pushed LED adoption (for example, through the UJALA LED distribution scheme launched in 2015).
Electric Power and the “Unit” on Your Bill
$$ P = VI = I^{2}R $$- 1 kilowatt (kW) = 1,000 W.
- The commercial unit of electrical energy is the kilowatt-hour (kWh), the “unit” on an electricity bill.
- 1 kWh = 1,000 W × 3,600 s = \( 3.6 \times 10^{6} \) joules.
A 1,500 W room heater runs 2 hours a day for 30 days.
Energy = 1.5 kW × 2 h × 30 = 90 kWh = 90 units. At ₹6 per unit, the cost is ₹540 (illustrative tariff only).
Domestic Electric Circuits and Safety
Supply in India
- AC (alternating current) at a nominal 230 V and 50 Hz (Indian Standard IS 12360). NCERT textbooks round the voltage to 220 V; both appear in MCQs, and the frequency is 50 Hz either way.
- At 50 Hz, the current reverses direction 100 times a second (once every 1/100 s).
- For comparison, the USA uses about 120 V at 60 Hz.
The three wires
| Wire | Role | Colour (older code, used in NCERT) | Colour (current IS 732 practice) |
|---|---|---|---|
| Live (phase) | Carries the supply voltage | Red | Brown |
| Neutral | Return path, near zero potential | Black | Light blue |
| Earth | Safety wire to a metal plate buried deep in moist ground | Green | Green-and-yellow |
Black means neutral in the old code but is a phase colour in the new one. Older houses use the old colours, so you will meet both.
Safety devices
| Device | Protects against | How |
|---|---|---|
| Fuse | Overloading and short circuits | Melts when the current exceeds its rating; fitted in series in the live wire; must be replaced |
| MCB (miniature circuit breaker) | The same faults | Trips automatically and can be reset with a switch |
| Earthing | Electric shock from appliances with metal bodies (cooler, fridge, iron, washing machine) | If the live wire touches the metal body, current flows safely to earth instead of through a person, and usually blows the fuse or trips the MCB |
| RCCB / ELCB (residual-current device) | Leakage current and shock | Detects any imbalance between live and neutral currents and cuts the supply in a fraction of a second; devices for personal protection are typically rated at 30 mA |
| Fault | Meaning |
|---|---|
| Short circuit | Live and neutral wires touch directly (damaged insulation). Resistance falls almost to zero and the current becomes very large |
| Overloading | Too many appliances on one circuit or socket, or a voltage surge, so the current exceeds the safe limit |
- It is the current through the body that harms. Wet skin has much lower resistance than dry skin, so never touch switches with wet hands.
- A bird on a single live wire is safe: both its feet are at the same potential, so no current flows through it. Touching the wire and the ground (or two wires) completes a circuit.
- In a thunderstorm, a car with a metal body is a safe shelter because charge stays on the outer metal surface. A lone tree or open field is dangerous. Lightning conductors on tall buildings carry the discharge safely to the ground. The Damini app, from IITM Pune under the Ministry of Earth Sciences, gives lightning warnings.
AC vs DC
| Point | AC (alternating current) | DC (direct current) |
|---|---|---|
| Direction | Reverses periodically (50 times per second each way in India) | One direction only |
| Sources | Power-station generators | Cells, batteries, solar panels |
| Transformers | Work with AC, so voltage can be stepped up or down easily | Do not work with DC |
| Long-distance transmission | Standard choice | Used in special HVDC links for very long distances |
| Everyday use | Household supply | Mobile phones, laptops, electronics (adaptors and chargers convert AC to DC); inverters convert DC from batteries or solar panels back to AC |
Magnetism (चुंबकत्व)
Magnets and Earth’s magnetic field
- Every magnet has a north and a south pole. Like poles repel, unlike poles attract. Cutting a magnet gives two smaller magnets; a single isolated pole is never found.
- A freely suspended magnet points roughly north–south: this is the principle of the magnetic compass.
- Earth behaves like a giant magnet. Its magnetic poles do not coincide with its geographic poles, and the magnetic pole near the geographic North Pole is actually a magnetic south-type pole (that is why it attracts the compass’s north pole).
- Earth’s magnetic field deflects many charged particles from the Sun. Particles funnelled near the poles light up the upper air as auroras.
- Magnetic field lines run from north to south outside a magnet, and they never cross.
Magnetic effect of current: electromagnets
In 1820, Hans Christian Oersted found that a current-carrying wire deflects a compass needle: electric current produces a magnetic field.
- A coil of wire (a solenoid) carrying current behaves like a bar magnet.
- With a soft iron core, it becomes a strong electromagnet that loses its magnetism as soon as the current stops. Steel keeps its magnetism, so it is used for permanent magnets.
- Uses of electromagnets: cranes that lift scrap iron, electric bells, relays, loudspeakers, MRI scanners, and maglev (magnetic levitation) trains that float above the track.
Electric motor: electricity → motion
A current-carrying coil placed in a magnetic field experiences a force and rotates. Fleming’s left-hand rule gives the direction of the force.
Uses: fans, mixers, washing machines, water pumps, coolers, and the traction motors of electric vehicles and electric locomotives.
Electromagnetic induction: motion → electricity
In 1831, Michael Faraday showed that a changing magnetic field through a coil produces a current in it. This is electromagnetic induction (विद्युत चुंबकीय प्रेरण), and it is the principle behind almost all the world’s electricity.
| Device | How induction is used |
|---|---|
| Generator (dynamo) | A coil is rotated in a magnetic field (by steam, water or wind turbines) and current is induced. Fleming’s right-hand rule gives its direction. Converts mechanical energy into electrical energy |
| Transformer | Changes AC voltage using two coils on an iron core. Step-up at the power station (high voltage, low current, so less loss as heat in the lines); step-down at substations before supply to homes. Works only on AC |
| Induction cooktop | A changing magnetic field induces currents that heat the base of the vessel. It needs a vessel with a ferromagnetic base, such as iron or steel |
| Others | Wireless phone charging, metal detectors at airports, electric guitar pickups |
How electricity is generated: one chain
graph LR
A["Energy source
coal, water, wind, nuclear"] --> B["Turbine spins"]
B --> C["Generator
(electromagnetic induction)"]
C --> D["Step-up transformer"]
D --> E["High-voltage lines"]
E --> F["Step-down transformer
at substation"]
F --> G["Homes: 230 V, 50 Hz AC"]Solar photovoltaic cells are the exception: they turn light directly into DC using semiconductors, with no turbine or generator, and an inverter converts the DC to AC.
Memory Tricks
Don’t Confuse
| This | vs | That |
|---|---|---|
| Electric motor: electrical → mechanical, Fleming’s left-hand rule | vs | Generator: mechanical → electrical, Fleming’s right-hand rule |
| Fuse / MCB: protect against overloading and short circuits | vs | Earthing: protects people from shock via metal bodies |
| Short circuit: live touches neutral | vs | Overloading: too much total load |
| Step-up transformer: raises voltage, at power stations | vs | Step-down transformer: lowers voltage, near consumers |
| Soft iron: temporary magnet (electromagnets) | vs | Steel: permanent magnet |
| Nichrome: heating elements | vs | Tungsten: bulb filaments |
| Ammeter: in series | vs | Voltmeter: in parallel |
Common Mistakes
- “A transformer can step up DC voltage.” False. Transformers work only with AC, because they need a changing magnetic field.
- “A fuse is connected in parallel with the appliance.” False. It is in series, in the live wire.
- “Earthing protects against overloading.” False. It protects against shock from leakage to metal bodies. Overloading is handled by fuses and MCBs.
- “Household appliances are wired in series to save wire.” False. They are in parallel so each gets the full voltage and works independently.
- “High voltage is used in transmission to increase the current.” Reversed. High voltage lowers the current and so reduces \( I^{2}R \) losses.
- “Earth’s geographic and magnetic poles are at the same place.” False. They are apart, and the magnetic pole near the geographic North Pole is a south-type magnetic pole.
Practice
All questions below are original practice questions written in CGPSC style. They are not previous-year questions.
Level 1: Foundation
- The commercial unit of electrical energy, the “unit” on an electricity bill, is the ______.
- Electromagnetic induction was discovered by ______ in ______.
- The heating element of an electric iron is usually made of ______.
- A fuse is connected in ______ with the ______ wire.
Answers
- Kilowatt-hour (kWh), equal to \( 3.6 \times 10^{6} \) J.
- Michael Faraday, 1831.
- Nichrome.
- Series; live (phase).
Level 2: Prelims MCQs
Q1. Consider the following statements about domestic electric circuits in India:
- Household appliances are connected in parallel.
- The earth wire protects users from electric shock if the live wire touches the metal body of an appliance.
- The household supply is direct current at 50 Hz.
Which of the statements given above is/are correct?
- (a) 1 only
- (b) 2 and 3 only
- (c) 1 and 3 only
- (d) 1 and 2 only
Answer and explanation
Q2. Match List I (Device) with List II (Principle or effect):
| List I | List II |
|---|---|
| A. Electric generator | 1. Heating effect of current |
| B. Electric motor | 2. Electromagnetic induction |
| C. Electric fuse | 3. Force on a current-carrying conductor in a magnetic field |
| D. Electromagnet in a crane | 4. Magnetic effect of current |
- (a) A-2, B-3, C-4, D-1
- (b) A-3, B-2, C-1, D-4
- (c) A-2, B-3, C-1, D-4
- (d) A-2, B-1, C-3, D-4
Answer and explanation
Q3. Electric power is transmitted over long distances at very high voltage mainly because:
- (a) high voltage increases the current in the lines
- (b) a lower current at high voltage reduces energy lost as heat in the lines
- (c) transformers work only at high voltage
- (d) high voltage makes the electricity direct current
Answer and explanation
Q4. A 2,000 W geyser is used for 1 hour every day for 30 days. The energy consumed is:
- (a) 6 units
- (b) 20 units
- (c) 60 units
- (d) 600 units
Answer and explanation
Q5. Which of the following materials is used for the filament of an incandescent bulb, and why?
- (a) Nichrome, because it has high resistivity
- (b) Copper, because it is a good conductor
- (c) Tungsten, because it has a very high melting point
- (d) Tin–lead alloy, because it has a low melting point
Answer and explanation
Level 3: Mains Answer Writing
Q1. (60 words) Distinguish between a fuse and earthing as safety measures in domestic wiring.
Model answer outline
- Fuse (or MCB): in series in the live wire; melts or trips when current exceeds the safe limit; protects wiring and appliances from overloading and short circuits.
- Earthing: connects metal bodies of appliances to the ground; diverts leakage current; protects people from shock.
- Conclusion: They complement each other; an RCCB adds protection against small leakage currents.
Q2. (150–200 words) Explain the principle of electromagnetic induction. How is it applied in the generation and transmission of electricity? Illustrate with reference to Chhattisgarh.
Model answer outline
- Intro: Faraday (1831): a changing magnetic field through a coil induces an electric current in it.
- Generation: Turbines driven by steam (coal, nuclear), falling water or wind rotate coils in magnetic fields inside generators, converting mechanical energy into electrical energy. Solar PV is an exception: it produces DC directly from light.
- Transmission: Step-up transformers (also based on induction, and working only with AC) raise the voltage so that the current, and hence \( I^{2}R \) loss, is low. Step-down transformers at substations bring it to the 230 V household supply.
- Other applications: induction cooktops, metal detectors, wireless charging.
- Chhattisgarh angle: Korba, the state’s “power capital”, has large coal-based thermal power stations fed by mines such as Gevra. Its electricity reaches distant consumers through high-voltage lines and transformers. The state also has hydro capacity (for example, at Hasdeo Bango) and growing solar capacity, which uses inverters to feed the AC grid.
- Conclusion: Electromagnetic induction is the foundation of the modern grid. Cleaner sources and efficient transmission are the path forward.
Quick Revision Table
| Fact | Detail |
|---|---|
| Ohm’s law | \( V = IR \) at constant temperature |
| Units | Current: ampere; voltage: volt; resistance: ohm; power: watt |
| Ammeter / voltmeter | Series / parallel |
| Household wiring | Parallel |
| Supply in India | 230 V nominal (NCERT: 220 V), 50 Hz AC |
| 1 kWh | One “unit” = \( 3.6 \times 10^{6} \) J |
| Nichrome | Heating elements |
| Tungsten | Bulb filament; melting point about 3,400 °C |
| Fuse | Low-melting wire, in series in the live wire |
| Earthing | Protects against shock from metal bodies |
| Wire colours | Old: red / black / green; current: brown / blue / green-yellow |
| Oersted, 1820 | Current produces a magnetic field |
| Faraday, 1831 | Electromagnetic induction |
| Motor | Electrical → mechanical; Fleming’s left-hand rule |
| Generator | Mechanical → electrical; Fleming’s right-hand rule |
| Transformer | AC only; step-up for transmission, step-down for supply |
| Soft iron vs steel | Electromagnet vs permanent magnet |
| Korba | “Power capital” of Chhattisgarh |
Key Takeaways
- V = IR; households are wired in parallel; ammeters go in series, voltmeters in parallel.
- Fuse/MCB guard against overloading and short circuits; earthing guards people against shock.
- Bills count kWh: 1 unit = \( 3.6 \times 10^{6} \) J. India’s supply is 230 V, 50 Hz AC.
- Oersted linked electricity to magnetism (1820); Faraday reversed it with induction (1831).
- Motor: left hand. Generator: right hand. Transformers need AC, and high-voltage transmission cuts losses.
What’s Next
- Physics in Everyday Life: Quick Revision, the whole chapter on one page
- Energy Resources, covering thermal, hydro, nuclear and solar power
- Minerals, Energy and Industries of Chhattisgarh, for Korba and the state’s power sector
- Computers and Information Technology, where semiconductors drive electronics
- Light and Sound, the previous topic