School-college Physics Notes: Electricity 3.3 Filament lamp - the I-V graph

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Electricity Section 3: 3.3 Investigating the current - voltage characteristics of a metal filament lamp

[Author © Dr WP Brown PhD: Doc Brown's physics exam revision notes suitable for students of UK IGCSE & GCSE level physics courses, ~ US grades 9-10 physics, electricity page updated Feb 8th 2026]

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INDEX for electricity section 3 notes on current, voltage, resistance, energy & charge transfer in circuits


3.3 Investigating the current

The voltage characteristics of a metal filament lamp
 

circuit diagram to investigate the current - voltage behavior characteristics of a metal filament bulb lamp When electric charge flows through a high resistance, like the thin metal filament of a lamp, it transfers some of the electrical energy to the thermal energy store of the filament. The electric charge does work against the resistance.

Circuit 45 shows how you can investigate the current - potential difference characteristics of a filament bulb.

The voltmeter is wired in parallel with the thermistor, the p.d. V is measured in volts (V).

The variable resistor allows you to vary the p.d. and current flow.

The ammeter, wired in series, gives you the current I reading in amps (A).

 

current-voltage graph for metal filament lamp bulb shape of graph explainedThe passage of current heats up the filament and the rise in temperature causes the resistance to increase. So a filament lamp is a non-ohmic conductor.

This 'heating up effect' affects all resistors.

As the current increases, more heat energy is released and the filament gets hotter and hotter, so further increase in temperature further increases the resistance.

This decreases the rate at which the current increases with increase in potential difference.

Therefore the gradient of the I-V graph curve decreases and increasingly so with increase in temperature - graph 2. Its a non-linear graph.

If the gradient is changing, then the resistance is changing.

The graph (2) is constructed on a crosswire axis. The top right half is your first set of results, you then reverse the terminals on the power supply and repeat the experiment giving the bottom left part of the graph.

The phrase non-linear component may be used.

When the current (A) is NOT proportional to the p.d (V) the filament lamp is described as a non-ohmic conductor (doesn't obey Ohm's Law!).

You get the same I-V shaped graph for a thermistor.

 

(c) doc bTheory - with reference to the metallic structure diagram

A metal crystal lattice consists of immobile ions and freely moving electrons between them. As the temperature increases, the metal ions vibrate more strongly into which the electrons collide and this inhibits the passage of electrons - reducing the flow of charge. As the current increases, the vibrations increase causing more of the electrical energy to be converted to heat -  increasing the temperature AND the resistance of the metallic filament, thereby lowering the current even further.

 

So, an increase in temperature increases the resistance a filament lamp (or most other resistors) and lowers the current flowing for a given p.d.

If a resistor becomes too hot, almost no current will flow.

There is one important exception to this 'rule', see notes on the thermistor where the resistance actually falls with increase in temperature.

 

The filament bulb is just one of many examples were energy is transferred usefully, BUT there is always heat energy lost to the thermal energy store of the device and the surroundings.

The filament is often made of the metal tungsten that melts at >3400oC, and glows brightly at 2500oC, but it still evaporates very slowly. An inert gas such as argon or nitrogen is added to reduce this evaporation - any evaporated tungsten atoms hit the unreactive (and so non-oxidising) Ar or N2 molecules and hopefully condense back on the filament.

 

See also Conservation of energy, energy transfers-conversions, efficiency - calculations

INDEX of electricity section 3 notes on current, voltage, resistance, energy & charge transfer in circuits including Ohm's Law investigations


Key points about electric circuits in physics courses: I-V behaviour of a filament lamp resistor

Information sources for Doc Brown's key points: IGCSE-GCSE physics are based on textbooks & syllabus-specifications for students taking the UK AQA, Edexcel, OCR 21st Century Science, OCR Gateway science suite, WJEC, CCEA and CIE GCSE physics 9-1 level science examinations.

A detailed, exam-board-aligned summary on filament bulb resistance and non-ohmic behaviour, tailored for GCSE/IGCSE Physics students:


Resistance of a Filament Bulb – Summary Revision Notes

Core Concept

A filament bulb contains a thin wire (usually tungsten) that glows when current passes through it. As the current increases, the wire heats up, and its resistance increases. This is a classic example of a non-ohmic conductor.


Key Physics Principles

Concept Explanation
Non-ohmic behaviour Does not obey Ohm’s Law: ( V proportional to I ) is not true
Temperature effect As current increases, filament temperature rises → metal ions vibrate more
Increased collisions Hotter filament = more resistance due to more frequent electron collisions
Graph shape (V–I) Curved graph: gradient increases → resistance increases with voltage
Resistance versus Current Resistance increases non-linearly with current

Graphical Representation

  • Ohmic conductor: straight line through origin (constant resistance)
  • Filament bulb: S-shaped curve – flattens as current increases
  • Gradient = resistance → steeper gradient = higher resistance

Required Practical (All Boards)

Aim: Investigate the current-voltage relationship for a filament bulb

Method Overview:

  • Connect filament bulb in series with ammeter and variable power supply
  • Use voltmeter in parallel across bulb
  • Vary voltage, record current
  • Plot V versus I graph

Expected Result: Non-linear curve showing increasing resistance


Typical Exam Board Specification Content

Key Focus

Required practical on V–I characteristics; understanding non-ohmic behaviour
Emphasis on interpreting curved V–I graphs and resistance changes
Includes filament bulb as a non-ohmic component in practicals
Focus on circuit diagrams and resistance variation with temperature
Investigates resistance changes in filament bulbs and graph analysis
Strong emphasis on definitions, graphical interpretation, and practical design

Student Tips for Success

  • Understand non-ohmic: Know why filament bulbs don’t follow Ohm’s Law
  • Sketch graphs: Be able to draw and explain the curved V–I graph
  • Explain temperature link: Use particle model to describe increased resistance
  • Use correct terms: “Resistance increases due to increased ion vibrations”
  • Revise practicals: Be confident describing method, apparatus, and expected results
  • Think real-world: Filament bulbs are inefficient due to energy lost as heat

Keywords, phrases and learning objectives for the current-voltage characteristics of metal filament bulb

Be able to describe the circuit and method for investigating the electrical resistance of metal filament lamp (old fashioned bulb).

Be able to describe the current-voltage graph for a filament lamp bulb and calculations of results for a non-ohmic conductor such as the metal filament bulb.

Be able to explain why you get an S shaped graph involving the disproportionate increase in resistance with increase in the p.d. voltage, causing an increase in temperature.


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