Current Electricity
Free study material · concepts, shortcuts & solved questions
Why This Chapter Matters
Electricity questions show up in almost every SSC and RRB physics paper, usually 2 to 3 marks, and they are some of the easiest marks on the entire sheet if you know your units cold. Ask any topper which physics chapter they never lose marks on, and this is usually the answer, because the questions rarely ask you to calculate anything. They ask you to recall: the unit of resistance, the formula linking current and voltage, whether a fuse goes in series or parallel, why a bird can sit on a high-voltage wire without dying.
The single biggest mistake aspirants make here is mixing up series and parallel circuits, specifically forgetting that current stays the same through every component in a series circuit but voltage stays the same across every branch in a parallel circuit. Examiners love this exact confusion and build entire questions around it. Get this one distinction locked in and half the chapter becomes easy points. The rest of this chapter builds from the basic quantities up through household wiring, exactly the order an SSC paper tests them in.
1. What Is Electric Current
Electric current is simply the flow of electric charge, almost always the flow of electrons through a conductor like a copper wire. Think of a wire as a crowded lane at a railway station. When people start moving in one direction in an organised flow, that is current. No movement, no current, even if the lane is packed.
Current is measured in amperes (A), named after the French scientist André-Marie Ampère. One ampere means one coulomb of charge is flowing past a point every second. The instrument that measures current is called an ammeter, and it is always connected in series in a circuit, never in parallel, because it needs the full current to pass through it to measure it accurately.
Exam trap: Conventional current is taken to flow from positive to negative terminal, but the actual electrons move from negative to positive. This confuses students in "direction of current" questions. Just remember: conventional current direction is opposite to actual electron flow.
2. Electric Potential and Voltage
If current is the flow of water, voltage (or potential difference) is the pressure pushing that water through the pipe. A battery or cell creates this pressure difference between its two terminals, and that difference is what drives the current around a circuit. No potential difference, no current, exactly like a flat pipe with no pressure difference at either end going nowhere.
Voltage is measured in volts (V), named after the Italian physicist Alessandro Volta, who invented the first chemical battery (the voltaic pile) in 1800. The instrument that measures voltage is called a voltmeter, and unlike an ammeter, it is always connected in parallel across the component whose voltage you want to measure.
Memory hook: Ammeter and Ampere both start with A, and both are about the Amount flowing through the wire (series). Voltmeter measures the Value of push across two points (parallel). "A for Along the path, V for Value across."
3. Resistance and Ohm's Law
Every material resists the flow of current to some degree, the way a narrow lane at a crowded market slows down the crowd even when everyone is trying to move forward. This opposition is called resistance, measured in ohms, symbol Ω (the Greek letter omega), named after the German physicist Georg Simon Ohm.
Ohm gave physics one of its most tested relationships, Ohm's Law: at constant temperature, the current through a conductor is directly proportional to the voltage across it. In simple words:
Voltage = Current × Resistance, or V = I × R
From this you can also write I = V/R and R = V/I. SSC questions usually give you two of the three values and ask for the third, so this single formula is worth memorising properly rather than just recognising it.
Resistance of a wire depends on four things: it increases with the length of the wire, decreases as the cross-sectional area (thickness) increases, depends on the material (its resistivity), and increases with temperature for most metals. This is why a thin, long wire (like the coil in a heater) gets hot and glows, while a thick, short wire barely warms up.
Analogy: Think of resistance like a crowded staircase in a metro station. A long, narrow staircase (long, thin wire) makes people struggle more to get through, that's high resistance. A short, wide staircase (short, thick wire) lets the crowd flow easily, that's low resistance.
Conductors, Insulators, and Semiconductors
Materials fall into three broad buckets based on how easily they let current pass.
Conductors allow current to flow easily because they have free electrons that can move. Silver is the best conductor of electricity, followed closely by copper, which is why copper wiring is used everywhere in homes since silver is too expensive for daily use. Other good conductors include aluminium (used in overhead power transmission lines because it is lighter and cheaper than copper) and gold (used in high-end electronic connectors because it resists corrosion).
Insulators block the flow of current because their electrons are tightly bound and cannot move freely. Rubber, glass, plastic, dry wood, and mica are common insulators. This is exactly why electrical wires are coated in rubber or plastic and why electricians wear rubber gloves and stand on rubber mats while working on live wires.
Semiconductors sit in between. They conduct a little under normal conditions but their conductivity can be controlled by adding impurities (a process called doping) or by changing temperature and light. Silicon and germanium are the two most important semiconductors, and they form the backbone of every transistor, diode, and computer chip in existence today.
Exam trap: Students often assume "metal equals best conductor equals used everywhere." Copper is the practical choice for household wiring despite silver being a better conductor, purely because of cost. Questions sometimes test this exact reasoning, asking why silver is not used in home wiring.
4. Series and Parallel Circuits
This is the section that decides whether you get the easy marks or lose them. A circuit can be wired in two basic ways.
In a series circuit, all components are connected one after another in a single loop, like beads on a single string. There is only one path for current to flow, so the same current flows through every component. But the total voltage of the source gets divided among the components. If one bulb in an old-style series decorative light string blows, the entire string goes dark, because the single path is broken.
In a parallel circuit, components are connected across separate branches, each branch getting its own direct connection to the two terminals of the source. Here, the voltage across every branch is the same, but the current divides itself among the branches depending on each branch's resistance. If one bulb fails in a parallel setup, the others keep working, because each has its own independent path. This is exactly why household wiring uses parallel connections: you can switch off or unplug one appliance without cutting power to the rest of the house.
Memory hook: "Series shares Same current, Parallel gives Parallel voltage." Or picture series as a single-lane road (everyone in that one lane moves at the same rate) and parallel as a multi-lane highway (each lane keeps its own speed, but every lane starts and ends at the same two points).
Exam trap: A very common SSC question asks which combination gives lower total resistance. Resistors in series simply add up (R = R1 + R2 + R3...), always giving a higher total resistance. Resistors in parallel give a total resistance that is always less than the smallest individual resistance in that group, because you are adding more paths for current to escape through.
Think about why your home is wired in parallel and not series. If your bedroom bulb, your fan, and your fridge were all on one series loop, switching off the bulb at night would cut power to the fridge too, and every appliance would be forced to share the exact same current whether it needed a little or a lot. Parallel wiring lets a fridge draw heavy current while a night lamp draws almost nothing, both running off the same 220-volt supply, and lets you switch any one appliance off without touching the rest. This single design choice is also why one bulb blowing does not plunge your whole house into darkness, unlike the old-style series decorative light strings, where one dead bulb breaks the only available path and kills the entire string.
5. Alternating Current and Direct Current
Current comes in two basic types that examiners frequently ask you to tell apart. Direct current (DC) flows in one direction only, at a steady value, the kind you get from a battery or a cell. Alternating current (AC) keeps reversing its direction periodically, many times a second, and its magnitude also keeps rising and falling in a wave pattern.
In India, household supply is AC at a frequency of 50 hertz, meaning the current reverses direction 100 times every second (50 full cycles). AC is used for long-distance power transmission because its voltage can be stepped up or down easily using a transformer, which sharply cuts transmission losses over long power lines. DC, by contrast, is what actually powers most small electronics inside your devices, which is why a mobile charger or laptop adapter contains a rectifier circuit that converts the AC from your wall socket into DC before it reaches the battery.
Exam trap: Students sometimes assume DC is "better" because it is steadier. For long-distance transmission, AC wins hands down purely because transformers cannot step up or step down a steady DC voltage the way they can with AC. This is exactly why the national grid runs on AC even though your phone battery stores DC.
6. Electrical Power and Energy
Power is the rate at which electrical energy is converted into another form, such as heat or light. It is measured in watts (W), named after the Scottish engineer James Watt, who is more famous for improving the steam engine.
Power = Voltage × Current, or P = V × I
A 100-watt bulb draws more power (and glows brighter, or in an old filament bulb, wastes more as heat) than a 60-watt bulb running on the same voltage. This is also why LED bulbs, which produce the same brightness using far fewer watts, save so much on electricity bills.
Electrical energy is what your household meter actually measures, and it is power used over time. The everyday unit on your electricity bill is the kilowatt-hour (kWh), informally called a "unit" of electricity. One kWh is the energy consumed by a 1000-watt appliance running for exactly one hour.
Real-world grounding: If you run a 1000-watt (1 kW) heater for 5 hours, you have used exactly 5 units of electricity. A typical Indian household electricity bill is calculated by multiplying the number of units consumed by the per-unit tariff rate set by the state electricity board, then adding fixed charges and taxes. Understanding this single calculation is why "units consumed" questions appear so often in RRB and SSC numerical sections. Note that the joule is the scientific SI unit of energy, but kWh is what's used commercially because a joule is far too tiny a quantity for everyday billing.
7. Fuses and Safety Devices
A fuse is a short, thin wire made of a low-melting-point alloy (commonly tin and lead) that is deliberately the weakest link in a circuit. When current exceeds a safe limit, usually due to a short circuit or overloading, the fuse wire heats up rapidly and melts, breaking the circuit before the excess current can damage appliances or start a fire.
Exam trap: A fuse is always connected in series with the live wire, never in parallel, because it must carry the full circuit current to sense an overload and respond by melting. If it were in parallel, it would never see the full current and would fail at its one job.
Modern homes increasingly use MCBs (Miniature Circuit Breakers) instead of traditional fuses. An MCB does the same protective job but works using an electromagnetic or thermal trip mechanism, and unlike a fuse, it can simply be switched back on after tripping rather than needing replacement. ELCBs (Earth Leakage Circuit Breakers), sometimes called RCCBs, protect specifically against current leaking to earth, which is the exact scenario that causes electric shocks when you touch a faulty appliance.
Earthing (grounding) connects the metal body of an appliance to the earth through a wire, so that if a live wire accidentally touches the metal casing, the current flows harmlessly into the ground instead of through a person who touches the appliance. This is why a three-pin plug has an earth pin, the thicker one, in addition to the live and neutral pins.
8. Common Electrical Devices and Their Working Principle
SSC and RRB love pairing a device with its underlying principle. Here is the set tested most often.
An electric heater, iron, or toaster works on the heating effect of current: when current passes through a high-resistance wire (typically nichrome, an alloy of nickel and chromium), the resistance converts electrical energy into heat energy. Nichrome is chosen because it has high resistance, a high melting point, and does not oxidise easily at high temperatures, unlike plain iron.
An electric bulb (filament type) also uses the heating effect: current passing through a thin tungsten filament heats it to incandescence, making it glow white-hot and give off light. Tungsten is used because of its extremely high melting point (around 3400°C), far higher than any other practical metal.
A fuse wire, as covered above, uses the heating effect too, except here the point is to melt, not glow usefully.
An electric motor converts electrical energy into mechanical energy, using the magnetic effect of current (this is covered in more depth in the magnetism chapter, but note it here as a device-principle pair worth remembering).
A battery or electric cell works on the chemical effect of current, converting stored chemical energy into electrical energy through a reaction between its electrodes and electrolyte.
An electroplating setup uses the chemical effect of current to deposit a thin layer of one metal onto another, commonly used to coat cheaper metals with chromium, silver, or gold.
Memory hook for the three main effects of current: "Heat, Magnet, Chemical" — H for heater and bulb filament, M for motor, C for cell and electroplating. Think "HMC" like three different job titles current can hold depending on which device it's working in.
Quick Revision — One-Line Facts
- Electric current is the flow of electric charge, measured in amperes (A).
- SI unit of voltage (potential difference) is the volt (V), named after Alessandro Volta.
- SI unit of resistance is the ohm (Ω), named after Georg Simon Ohm.
- Ohm's Law: V = I × R, valid at constant temperature.
- Ammeter is connected in series; voltmeter is connected in parallel.
- Silver is the best conductor of electricity; copper is used practically due to lower cost.
- Rubber, glass, plastic, mica are common insulators.
- Silicon and germanium are the most widely used semiconductors.
- In a series circuit, current is the same everywhere; in a parallel circuit, voltage is the same across every branch.
- Total resistance in series is always higher than any single resistor in the group.
- Total resistance in parallel is always lower than the smallest single resistor in the group.
- SI unit of electrical power is the watt (W), named after James Watt.
- Power = Voltage × Current (P = V × I).
- Household electricity bills are measured in kilowatt-hour (kWh), called a "unit."
- One kWh equals the energy used by a 1000-watt device running for one hour.
- A fuse is always connected in series with the live wire and melts to break the circuit during overload.
- Fuse wire is typically made of a tin-lead alloy with a low melting point.
- MCB (Miniature Circuit Breaker) can be reset and reused, unlike a traditional fuse.
- ELCB/RCCB protects against current leaking to earth.
- Earthing provides a safe path for leaked current, preventing electric shocks.
- The earth pin in a three-pin plug is thicker than the live and neutral pins.
- Nichrome wire is used in heaters and irons because of its high resistance and high melting point.
- Tungsten filament is used in incandescent bulbs due to its very high melting point (about 3400°C).
- Electric heaters, irons, toasters, and filament bulbs all work on the heating effect of current.
- Electric motors work on the magnetic effect of current.
- Batteries and electroplating both work on the chemical effect of current.
- Conventional current flows from positive to negative terminal; electrons actually flow from negative to positive.
- A short circuit occurs when live and neutral wires touch directly, causing a sudden current surge.
- Overloading a circuit (too many appliances on one socket) is a common real-world cause of fuse blowouts and fires.
- The joule is the SI unit of energy in general, but kWh is used for commercial electricity billing.
- Resistance of a wire increases with length and decreases with cross-sectional area.
- DC (direct current) flows in one direction only; AC (alternating current) reverses direction periodically.
- Indian household AC supply runs at a frequency of 50 hertz.
- AC is preferred for long-distance transmission because a transformer can step its voltage up or down easily.
- A mobile charger contains a rectifier that converts AC from the wall socket into DC for the battery.
- Household supply voltage in India is standardised at 220 to 240 volts.
Memory Tables
Table 1: Key Quantities, Units, and Instruments
| Quantity | SI Unit | Symbol | Measuring Instrument | Named After |
|---|---|---|---|---|
| Current | Ampere | A | Ammeter (series) | André-Marie Ampère |
| Voltage / Potential Difference | Volt | V | Voltmeter (parallel) | Alessandro Volta |
| Resistance | Ohm | Ω | Ohmmeter | Georg Simon Ohm |
| Power | Watt | W | Wattmeter | James Watt |
| Energy (commercial) | Kilowatt-hour | kWh | Electricity meter | — |
Table 2: Series vs Parallel Circuits
| Feature | Series Circuit | Parallel Circuit |
|---|---|---|
| Current | Same through every component | Divides across branches |
| Voltage | Divides across components | Same across every branch |
| Total resistance | Higher than any single resistor | Lower than the smallest resistor |
| If one component fails | Entire circuit breaks | Other branches keep working |
| Used in | Old decorative light strings | Household wiring |
Table 3: Devices and the Effect of Current They Use
| Device | Effect of Current Used | Key Material Involved |
|---|---|---|
| Electric heater / iron / toaster | Heating effect | Nichrome wire |
| Filament light bulb | Heating effect | Tungsten filament |
| Fuse | Heating effect | Tin-lead alloy wire |
| Electric motor | Magnetic effect | Copper coil, magnet |
| Battery / cell | Chemical effect | Electrolyte, electrodes |
| Electroplating setup | Chemical effect | Metal salt solution |
Practice MCQs
Q1. What is the SI unit of electric current? (a) Volt (b) Ohm (c) Ampere (d) Watt
Q2. An ammeter is always connected in which manner in a circuit? (a) Parallel (b) Series (c) Either way (d) Not connected at all
Q3. Who is the SI unit of resistance, the ohm, named after? (a) James Watt (b) Georg Simon Ohm (c) Alessandro Volta (d) André-Marie Ampère
Q4. Which of the following is the best conductor of electricity? (a) Copper (b) Aluminium (c) Silver (d) Gold
Q5. Which material is commonly used as an insulator on electrical wires? (a) Copper (b) Rubber (c) Silver (d) Iron
Q6. What does Ohm's Law state as a formula? (a) V = I/R (b) V = I × R (c) I = V × R (d) R = V × I
Q7. In a series circuit, which quantity remains the same through all components? (a) Voltage (b) Resistance (c) Current (d) Power
Q8. In a parallel circuit, which quantity remains the same across all branches? (a) Current (b) Voltage (c) Resistance (d) Charge
Q9. A fuse in a household circuit is always connected in: (a) Parallel with the neutral wire (b) Series with the live wire (c) Parallel with the earth wire (d) It is not connected to the circuit at all
Q10. What is the commercial unit of electrical energy shown on a household electricity bill? (a) Joule (b) Watt (c) Kilowatt-hour (d) Ampere-hour
Q11. Which material is used for the filament in a traditional incandescent bulb, and why? (a) Copper, for good conductivity (b) Tungsten, for its very high melting point (c) Nichrome, for its low melting point (d) Silver, for brightness
Q12. If two resistors are connected in parallel, the total resistance of the combination is: (a) Equal to the sum of both resistances (b) Always greater than either individual resistance (c) Always less than the smaller of the two resistances (d) Always equal to zero
Q13. A device's metal casing is connected to the ground through a wire mainly to: (a) Increase the device's power rating (b) Provide a safe path for leaked current and prevent shocks (c) Reduce the device's electricity bill (d) Increase the current flowing through the device
Q14. A 2000-watt electric heater is run for 3 hours. How many units (kWh) of electricity does it consume? (a) 2 units (b) 3 units (c) 6 units (d) 600 units
Q15. Which of the following pairs of device and its underlying effect of current is INCORRECTLY matched? (a) Electric iron — Heating effect (b) Battery — Chemical effect (c) Electric motor — Magnetic effect (d) Fuse wire — Magnetic effect
Answer Key
| Q | Answer | Reason |
|---|---|---|
| Q1 | (c) Ampere | Current is measured in amperes, named after André-Marie Ampère; volt, ohm, and watt measure voltage, resistance, and power respectively. |
| Q2 | (b) Series | An ammeter must carry the full circuit current to measure it accurately, so it is always wired in series, never in parallel. |
| Q3 | (b) Georg Simon Ohm | The German physicist Ohm gave his name to the unit of resistance after formulating Ohm's Law. |
| Q4 | (c) Silver | Silver is the best conductor of electricity; copper is used practically in wiring only because it is far cheaper. |
| Q5 | (b) Rubber | Rubber's tightly bound electrons block current flow, which is why wire insulation and electrician's gloves are made of it. |
| Q6 | (b) V = I × R | Ohm's Law states voltage equals current multiplied by resistance, at constant temperature. |
| Q7 | (c) Current | A series circuit has only one path for current, so the same current flows through every component in that loop. |
| Q8 | (b) Voltage | Every branch of a parallel circuit connects directly across the same two terminals, so each branch experiences the same voltage. |
| Q9 | (b) Series with the live wire | A fuse must carry the full current to sense an overload and melt in response, which only works if it sits in series. |
| Q10 | (c) Kilowatt-hour | The kWh, or "unit," is the practical commercial measure of electrical energy; the joule is too small for everyday billing. |
| Q11 | (b) Tungsten, for its very high melting point | Tungsten withstands around 3400°C without melting, letting it glow white-hot and produce light without burning out instantly. |
| Q12 | (c) Always less than the smaller of the two resistances | Parallel resistors add extra paths for current, which always lowers total resistance below any single branch's value. |
| Q13 | (b) Provide a safe path for leaked current and prevent shocks | Earthing diverts fault current into the ground instead of through a person who touches the faulty casing. |
| Q14 | (c) 6 units | Energy in kWh equals power in kW multiplied by time in hours: 2 kW × 3 hours = 6 kWh, i.e. 6 units. |
| Q15 | (d) Fuse wire — Magnetic effect | A fuse works on the heating effect of current (it melts from heat generated by excess current), not the magnetic effect. |