PhysicsUK A LEVEL / FIELDS

The graph lab

Field graphs.

One field. Two graphs. Make the connection.

Check your understanding

A radial gravitational field

Outwards is positive →

A · referenceB · probe

Force per unit mass

Field magnitude

At B

Energy per unit mass

Potential

At B

Click or drag on either graph to move B. Use the sliders for keyboard control. Axes stay fixed as the points move; changing the source or plotted quantity rescales them.

Connect the graphs

Read the values at A and B
Values for the current field
QuantityAt AAt B

Pause & apply

Can you read the field?

Six short checks. These examples have their own values, independent of the lab.

0 / 6 correct

Choose an answer to see the reasoning.

Model assumptions & teaching notes

What the model represents

Radial models use a point source, or the external field of a spherically symmetric source. Here r is measured from its centre, not its surface. We show 1–10 m; the point-source equations are undefined at r = 0. These graphs do not describe the inside of a planet or conductor.

For radial fields, V = 0 at infinity. Curves approach zero without reaching it at any finite distance. Parallel plates use an ideal uniform field over 0–10 m, ignoring edge effects, with V = 0 at the right plate.

From graphs to exam answers

First distinguish field (force per kg or C) from potential (energy per kg or C). Then connect a tangent to the field at one point, and a signed area to a potential difference. The work view multiplies by the test mass or charge to show force and potential energy.

Simple source values make the arithmetic visible: initially GM = 100 m³ s⁻² or k|Q| = 100 V m. Test bodies do not alter the source. Work by an external agent assumes slow movement with no change in kinetic energy.

Curriculum: AQA 7408 §3.7.2–3.7.3; OCR A H556 §5.4.2, §5.4.4 and §6.2.2–6.2.4. AQA specification ↗ · OCR A specification ↗