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4.2.4Electricity and Magnetism

Resistance — Cambridge IGCSE Physics 0625 Revision Notes & Topical Questions

5 min read 8 parts Lesson 18 of 65 1 quiz

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Lesson summary

4.2.4 Resistance — IGCSE PHYSICS notes: Define resistance and use R = V/I, describe how to find resistance, interpret I–V graphs and relate the resistance of a wire to length and area.Resistance = the opposition to current.Cause — free electrons collide with the metal ions in the…

  • Consequences
  • Thermistor
  • LDR (light-dependent resistor)
  • Heating effect
  • Cross-sectional area
  • Ohmic conductor

Part 1 of 6Resistance and Ohm's law

1Resistance
Resistance the opposition to current.
2Cause
  • Cause free electrons collide with the metal ions in the wire, which slows them down.
3Effect
  • Effect the higher the resistance of a circuit, the lower the current.
4R
V / I
  • R is resistance in ohms (Ω), V is p.d. in volts and I is current in amperes.
  • Ohm's law — the current in a metallic conductor is directly proportional to the p.d. across it at constant temperature.
  • Rearranged, V = I R and I = V / R.
5Consequences
  • Consequences for a constant p.d., current falls as resistance rises;
    • for a constant current, the p.d. across a conductor rises as resistance rises.

Part 2 of 6Finding resistance experimentally

1
Connect the component in series with an ammeter, a variable resistor and the supply.
2
Connect a voltmeter in parallel across the component.
3
Adjust the variable resistor and record V and I for at least five values.
4
Switch off between readings so the component does not heat up.
5
Calculate R = V / I for each pair or plot I against V and interpret the graph.

Part 3 of 6I–V graphs

ComponentGraph shapeResistanceReason
Fixed resistor or wire (constant temperature)Straight line through the originConstant (ohmic)Current is directly proportional to p.d.
Filament lampCurve that flattens as p.d. risesIncreasesFilament gets hotter, the ions vibrate more and the electrons collide more often
DiodeCurrent only in the forward directionVery low forward, very high reverseAllows current one way only (starts to conduct above about 0.6 V)

Part 4 of 6Other resistors

Other resistors
Thermistor
  • Thermistor its resistance decreases as temperature increases.
LDR (light-dependent resistor)
  • LDR (light-dependent resistor) its resistance decreases as light intensity increases.
Heating effect
  • Heating effect higher-resistance components get hotter for the same current because electrons collide with ions and transfer energy.

Part 5 of 6Resistance of a wire (Extended)

Length
  • Length resistance is directly proportional to length (R ∝ L).
  • Doubling the length doubles the resistance.
Cross-sectional area
  • Cross-sectional area resistance is inversely proportional to area (R ∝ 1/A).
  • Doubling the area halves the resistance.
  • A wire with twice the length and twice the diameter has four times the area, so its resistance is R × 2 ÷ 4 = R/2.

Part 6 of 6More from the specification

More from the specification
Resistance
  • Resistance potential difference divided by current, R = V / I, measured in ohms
Potential difference
  • Potential difference energy transferred per unit charge, with a voltmeter connected across the component
Static charge
  • Static charge rubbing a polythene rod gives it negative charge by gaining electrons, and like charges repel
Electrical power
  • P = I x V, the rate of energy transfer, so higher resistance in a wire means more energy dissipated as heat for the same current
Mains supply
  • Domestic a.c. supply, rated 230 V rms at 50 Hz in the UK.
Resistance
  • Resistance potential difference divided by current, R = V / I, measured in ohms
Potential difference
  • Potential difference energy transferred per unit charge, with a voltmeter connected across the component
Static charge
  • Static charge rubbing a polythene rod gives it negative charge by gaining electrons, and like charges repel
Electrical power
  • P = I x V, the rate of energy transfer, so higher resistance in a wire means more energy dissipated as heat for the same current
Terminal
  • Connection point of a cell, labelled + or −.
Insulator
  • Material that does not allow current to flow.
Potential difference
  • Work done by a unit charge passing through a component.
Electric field
  • Region of space in which a charge experiences a force.
Alternating current
  • Current that continually reverses direction.
Field lines
  • Lines showing the direction and strength of a magnetic field.
Electromotive force
  • Energy transferred from other forms to electrical energy per unit charge.
Gold-leaf electroscope
  • A device in which a charged gold leaf falls when photoelectrons discharge the plate.
Charge
  • Quantity of electricity in coulombs, Q = It.
    What the symbols mean: Q = charge (C) · I = current (A) · t = time (s)
Electroscope
  • Instrument with a metal cap, stem and gold leaf used to detect charge.

Key terms

TermMeaning
ResistanceOpposition to current, R = V / I, in ohms (Ω).
Ohm's lawCurrent is directly proportional to p.d. at constant temperature.
Ohmic conductorComponent whose I–V graph is a straight line through the origin.
DiodeComponent that allows current in one direction only.
LDRResistor whose resistance falls as light intensity rises.
ThermistorResistor whose resistance falls as temperature rises.

Avoid these mistakes

1
Saying resistance is proportional to diameter — it depends on cross-sectional area, so on diameter squared.
2
Saying a filament lamp is ohmic — its resistance rises as it gets hot, so its I–V graph curves.
3
Connecting the voltmeter in series — it must be in parallel across the component.
4
Mixing up direct and inverse proportion — R increases with length but decreases with area.

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