Electricity
Charge, current, potential difference, resistance, series and parallel circuits, electrical power and safety.
📌 Key points
- Like charges repel and unlike charges attract. Rubbing an insulator transfers electrons: the object that gains electrons becomes negative.
- Current is the rate of flow of charge: I = Qt. Measure it with an ammeter in series. Conventional current flows from + to −; electrons flow the other way.
- Electromotive force (e.m.f.) is the energy supplied by a source per unit charge; potential difference (p.d.) is the energy transferred per unit charge across a component. Measure them with a voltmeter in parallel.
- Resistance R = VI, in ohms (Ω). A longer wire has more resistance; a thicker wire has less (R is proportional to length and inversely proportional to cross-sectional area).
- A fixed resistor at constant temperature has a straight-line I–V graph through the origin. A filament lamp’s graph curves because its resistance increases as it gets hotter.
- Series: the current is the same everywhere, the p.d.s add up to the e.m.f., and total R = R₁ + R₂.
- Parallel: each branch has the same p.d., the branch currents add up to the total, and the combined resistance is less than either resistor: 1R = 1R₁ + 1R₂.
- Power P = IV and energy E = IVt. The kilowatt-hour (kWh) is the energy used by a 1 kW appliance in 1 hour.
- A light-dependent resistor’s resistance decreases as light intensity increases; a thermistor’s resistance decreases as temperature increases.
- Safety: a fuse or circuit breaker in the live wire cuts off the current if it becomes too large; the earth wire connected to a metal case stops it from becoming live.
📖 Key terms
- Current
- The rate of flow of charge; measured in amperes (A).
- Electromotive force
- The energy supplied by a source in driving unit charge around a complete circuit.
- Potential difference
- The work done (energy transferred) per unit charge passing through a component.
- Resistance
- The p.d. across a component ÷ the current through it; measured in ohms (Ω).
- Fuse
- A thin wire that melts and breaks the circuit if the current is too high.
- Thermistor
- A resistor whose resistance decreases as temperature increases.
- Light-dependent resistor
- A resistor whose resistance decreases as light intensity increases.
- Kilowatt-hour
- The energy transferred by a 1 kW appliance in 1 hour.
✏️ Worked example
Resistors of 6.0 Ω and 3.0 Ω are connected in parallel to a 12 V battery. Find the combined resistance and the current from the battery.
- 1R = 16.0 + 13.0 = 16.0 + 26.0 = 36.0 = 12.0.
- So the combined resistance R = 2.0 Ω (less than 3.0 Ω, as expected).
- Current from the battery I = VR = 122.0 = 6.0 A.
- Check: 12 ÷ 6.0 = 2.0 A and 12 ÷ 3.0 = 4.0 A; 2.0 + 4.0 = 6.0 A.
Ammeters go in series and voltmeters in parallel. For resistors in parallel, the combined resistance must be smaller than the smallest one — use this to check your answer.
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