Controlling Variables in Physics (DP IB Physics): Revision Note

Katie M

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Katie M

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Controlling variables in Physics

  • This is the practical application of the 'Controlled Variables' you identified in your design

  • The main goal of controlling variables is to minimise systematic errors - errors that consistently shift your results in one direction

  • By keeping all other factors constant, you can:

    • be more confident that any effect you measure is due to the change in your independent variable

    • ensure that the results are valid

    • ensure that you are conducting a fair test

Methods of control

Appreciate when and how to calibrate measuring apparatus

  • To ensure your data is accurate, the instruments you use must be checked and calibrated

  • Calibration is the process of checking an instrument's readings against a known, reliable standard and adjusting it if necessary

  • You should consider calibration for key instruments in your design:

    • Sensors:

      • A force sensor should be zeroed with no load on it

      • A motion sensor should be checked to ensure it accurately measures the distance to a known object

    • Digital thermometers and sensors

      • Their accuracy can be checked by placing them in boiling, distilled water (which should read 100.0°C at standard pressure) and a beaker of crushed ice (0.0°C)

        A data logger connected to a temperature probe displaying result graphically
        A data logger connected to a temperature probe.
        Digital thermometer displaying 37.0 degrees Celsius, with a blue tip and grey sensor end, on a white background.
        A digital thermometer.
    • Digital balances

      • Must always be zeroed (tared) before use to ensure you are measuring the mass of the object only

        Digital scales showing zero and 0.0550 kg with instructions: ensure zero before use and wait for stabilisation before reading.
    • Ammeters and voltmeters

      • Should be checked to ensure they read zero when there is no current or potential difference

Appreciate when and how to maintain constant environmental conditions of systems

  • The conditions in the laboratory can affect your results

  • Key environmental conditions to control include temperature, pressure, humidity, air currents (draughts), and light intensity

  • Maintaining temperature

    • For many experiments, temperature is one of the most important variables to control, as it directly affects other quantities, such as density, gas pressure, and electrical resistance

  • Controlling air currents

    • Draughts from windows or air conditioning can cool a substance, causing significant errors in calorimetry experiments

    • This can be controlled by closing windows or using a draught shield around the apparatus

  • Sometimes, a variable cannot be perfectly controlled (e.g., ambient room temperature might fluctuate slightly)

    • In these cases, the best practice is to monitor and record it

    • You can then discuss its potential impact in your evaluation

Appreciate when and how to insulate against heat loss or gain

  • In any thermal physics experiment (e.g., measuring specific heat capacity), the biggest source of error is unwanted heat exchange with the surroundings

  • Insulating the system is crucial for collecting accurate temperature data

  • Common insulation techniques include:

    • using a polystyrene cup instead of a glass beaker, as polystyrene is a much better thermal insulator

    • placing the polystyrene cup inside a larger glass beaker to provide stability and an insulating layer of air

    • using a lid (e.g., made of cardboard or plastic) with holes for the thermometer and stirrer. This minimises heat loss by evaporation and convection

Apparatus for reducing heat loss
Heat losses can be minimised by using an insulating lid and a polystyrene cup, allowing for more accurate temperature measurements

Appreciate when and how to reduce friction

  • In mechanics experiments, frictional forces reduce motion and introduce energy losses to heat and sound

  • Friction can be reduced by

    • lubricating moving parts, such as pulleys and wheels

    • adding bearings to prevent components from directly rubbing together

    • using low-friction apparatus, such as an air track

Air Track, downloadable IB Physics revision notes
Air tracks create a near-frictionless surface, making them ideal for investigating collisions

Appreciate when and how to reduce electrical resistance

  • In circuit experiments, all components, including connecting wires, have some resistance

  • This results in unwanted heat transfers to the wires, components and the surroundings

  • Resistance can be reduced by:

    • using shorter, thicker wires

    • keeping the current as low as possible 

    • ensuring connections are secure, as poor connections can add extra resistance

Appreciate when and how to take background radiation into account

  • In experiments involving radioactive sources, the background radiation must be taken into account

  • To adjust for background radiation using a Geiger-Muller (GM) tube:

    • record a background count rate with no radioactive source present

    • subtract the background count rate from all subsequent measurements to ensure you are only measuring the radiation from the source itself

Worked Example

Research question:

  • "What is the relationship between the length of a simple pendulum and its period of oscillation?"

Below is how you would identify and control the key variables for this experiment to ensure a fair test:

  • Amplitude of the swing

    • Method of control

      • The pendulum will be released from the same small angle (less than 10°) for every trial, measured with a protractor

    • Justification

      • The formula T space equals space 2 straight pi square root of L over g end root is based on the small-angle approximation

      • Keeping the initial angle small and constant ensures this approximation remains valid and does not introduce a systematic error

  • Friction at the pivot

    • Method of control

      • The string will be suspended from a smooth, knife-edge pivot or passed through a glass tube

    • Justification

      • Friction at the pivot is a damping force that removes energy from the system, which could affect the period

      • A smooth pivot minimises this unwanted energy loss

  • Air resistance

    • Method of control

      • The experiment will be conducted indoors, away from any open windows or air conditioning units, using a dense and aerodynamic pendulum bob

    • Justification

      • Air resistance is a form of friction that will cause damping of oscillations

      • Minimising draughts and using a suitable bob ensures its effect is negligible and consistent across all trials

Worked Example

Research question:

  • "What is the relationship between the length of a constantan wire and its electrical resistance?"

Below is how you would identify and control the key variables for this experiment:

  • Temperature of the wire

    • Method of control

      • A low potential difference will be used across the wire to keep the current small

      • The power supply will be switched off between readings

    • Justification:

      • The flow of current causes Joule heating, which increases the temperature of the wire

      • As resistance is temperature-dependent, this would introduce a significant systematic error

      • Keeping the current low and switching off the supply minimises this effect

  • Cross-sectional area of the wire

    • Method of control

      • The same piece of constantan wire will be used for all measurements of length

      • Its diameter will be measured with a micrometer at several points along its length to check for uniformity

    • Justification

      • Resistance is inversely proportional to the cross-sectional area open parentheses R space equals space fraction numerator rho L over denominator A end fraction close parentheses

      • Using the same wire ensures area Ais constant

      • Checking for uniformity confirms that this is a valid assumption

  • Contact resistance

    • Method of control

      • Crocodile clips will be attached firmly to the wire, and the points of contact will be cleaned if necessary

    • Justification

      • Poor connections can add extra resistance to the circuit

      • Ensuring clean, firm contacts minimises this potential source of error

Examiner Tips and Tricks

Be specific about how you control a variable.

  • Simply stating "I will reduce friction" is not enough.

  • You must explain the method: "An air track will be used to provide a near-frictionless surface for the glider."

Don't forget simple controls.

  • Important controls include:

    • Using the same piece of equipment (e.g., the same digital multimeter) for all measurements of a certain type

    • Having the same person read the measurement (e.g., timing the oscillations) to reduce subjective error.

Justify your controls.

  • For top marks, briefly explain why controlling a particular variable is important for the validity of your experiment.

  • For example, "The amplitude was kept small to ensure the small-angle approximation, upon which the theory is based, remained valid."

Prioritise your controls.

  • In your justification, focus your explanation on the variables that will have the most significant impact on your results (e.g., keeping the swing angle small for a pendulum).

  • This demonstrates insight.

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Katie M

Author: Katie M

Expertise: Physics Content Creator

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.