D.2.18 (HL)—Equipotentials and electric fields

Syllabus
First assessment 2025
Objective
Level
HL

Relate Electric Equipotentials to Field Lines

HL only

Use the perpendicular relationship

Electric field lines cross equipotential surfaces at 90°. The field points toward decreasing electric potential, so the field-line arrow is normal to the equipotential and in the direction of the negative potential gradient.

Apply it between plates

For oppositely charged parallel plates, field lines are approximately straight and perpendicular to the plates; equipotential surfaces are parallel to the plates. This is why the potential changes across the separation but remains constant along a plate.

Predict motion

A positive charge accelerates along the electric field, toward lower potential. A negative charge accelerates opposite to the field, toward higher potential. The field direction and particle-force direction must be kept separate.

Common trap

Do not draw field lines parallel to equipotentials or assume a negative charge accelerates in the field direction. The field is defined using a positive test charge.

D.2.18 (HL) Exam Analysis

HL only

Assessment in practice

1–2 marks
How it is assessed

Questions combine plate fields, equipotential lines and charge motion or ask which diagram statements are correct.

Command terms

Which statements / What is correct

What earns marks

Draw field lines normal to equipotentials, point them toward lower potential, and reverse the force direction for a negative charge.

Watch for

Confusing field-line and equipotential directions, or failing to reverse force direction for a negative charge.

Representative question

Question 1

[Maximum number: 1]

A particle with charge 2.5×106C-2.5 \times 10^{-6} \mathrm{C} moves from point X to point Y due to a uniform electrostatic field. The diagram shows some equipotential lines of the field.

What is correct about the motion of the particle from X to Y and the magnitude of the work done by the field on the particle?

Motion of the particle from X to Y

Magnitude of the work done by the field on the particle

uniform linear

0 J

uniform linear

1J

uniformly accelerated

0 J

uniformly accelerated

1J