Physics 10.17 - Core practical circuit measurements

Physics 10.17 - Core practical circuit measurements

Build a resistor and filament-lamp test circuit, record paired current and potential-difference readings, and use them to calculate resistance. Then compare the same filament lamps in series and parallel using measured currents and potential differences.

Equation support is provided for GCSE Combined Science Physics examinations in 2025–2027. Practise choosing, interpreting and rearranging the supplied relationships; these activities do not assume unaided equation memorisation.

Build and check the measurement circuit

Core practical 10.17 has two linked investigations. First use a resistor, then a filament lamp, to measure current at different potential differences. Next compare filament lamps in series and parallel. Repeat the circuit-layout comparison using fixed resistors as well, as specified in 10.17(b).

[DIAGRAM: asset_slug: phy_f_practical_circuits; description: Component I–V test loop, series filament lamps, and parallel filament lamps with total and branch current meters.]
Diagram

In Panel A, the ammeter, variable resistor and tested component are in series. The voltmeter connects across only the tested component. The low resistance of the ammeter lets the circuit current pass through it; the voltmeter has a high resistance so very little current enters its branch. Never put an ammeter directly across the supply.

Use a suitable low-voltage d.c. supply and keep the switch open while building or changing connections. Start at zero supply voltage or maximum variable resistance. Check the component rating, meter ranges and d.c. polarity before switching on. Panels B and C show the connections being compared; retain a switch in the supply route in the real circuits. Take voltage measurements across each lamp as described below, even where a meter is omitted from the simplified series diagram.

Core practical: measuring V, I and R

The first purpose of core practical 10.17 is to investigate the relationship between potential difference, current and resistance for a fixed resistor and a filament lamp.

Apparatus and variables

Use a suitable low-voltage d.c. supply, switch, ammeter, voltmeter, variable resistor, fixed resistor, filament lamp in a holder and connecting leads.

RoleQuantityHow it is handled
Independent variablePotential difference across the tested component (V\mathrm{V})Change it in regular safe steps using the supply or variable resistor
Dependent measurementCurrent through the tested component (A\mathrm{A})Read the series ammeter at every setting
Calculated dependent quantityResistance (Ω\Omega)Calculate R=VIR = \frac{V}{I} for each pair of readings
Controls for a fair comparisonComponent identity, connections and meter rangesUse the same tested component during one run and the same procedure for both component types
Heating control for the fixed resistorComponent temperature as far as practicableUse modest currents, take readings promptly, open the switch between readings and allow cooling before repeats

Changing temperature is part of what happens when a filament lamp operates, so do not claim that its temperature remains constant. Instead, use the same lamp and take each reading consistently after the display has settled.

Method

  1. With the switch open, construct the component test circuit in Panel A: supply, switch, ammeter, variable resistor and fixed resistor in series, with the voltmeter across the fixed resistor.
  2. Set the supply to zero or the variable resistor to maximum resistance. Select suitable d.c. meter ranges and have the circuit checked.
  3. Close the switch. Adjust the control until the voltmeter shows the first chosen potential difference, then record the potential difference and current. For the fixed resistor, open the switch promptly after the readings to limit heating.
  4. Take at least six well-spaced pairs of readings across the component's safe operating range. Use regular intervals where the apparatus permits.
  5. Repeat each setting at least twice more. If one reading is inconsistent, check the connections and repeat it rather than deleting it without a reason. Calculate a mean current for each potential difference.
  6. Return the supply to zero, open the switch and replace the fixed resistor with the filament lamp. Repeat the same sequence without exceeding the lamp’s rating. For each lamp setting, allow the brightness and meter readings to settle before recording; its changing working temperature is part of the investigation. Switch off between sets and allow cooling before handling. If both polarities are investigated, switch off before reversing the supply and repeat the readings with the signs recorded.

Record raw measurements before calculating:

ComponentPotential difference / VCurrent trial 1 / ACurrent trial 2 / ACurrent trial 3 / AMean current / AR=VIR = \frac{V}{I} / Ω
Fixed resistor or lamp

Processing and conclusions

Plot mean current, II (A\mathrm{A}), on the vertical axis against potential difference, VV (V\mathrm{V}), on the horizontal axis. Use a sensible linear scale, plot every mean and draw an appropriate best-fit line or smooth curve rather than joining each point dot-to-dot.

Calculate resistance at several readings using R=VIR = \frac{V}{I}. For example, a reading of 3.0 V3.0\,\mathrm{V} and 0.20 A0.20\,\mathrm{A} gives:

R=3.0 V/0.20 A=15 ΩR = 3.0\,\mathrm{V} / 0.20\,\mathrm{A} = 15\,\Omega

This is a ratio at that reading. Do not automatically call the gradient of any current-potential-difference graph "the resistance". Typical fixed-resistor data give an approximately constant VI\frac{V}{I} over the tested range; filament-lamp data may give different VI\frac{V}{I} values at different readings. Conclusions must be based on the measured pattern, not on forcing both components to behave identically.

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