D.2.18 (HL)—Equipotentials and electric fields
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- HL
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.
Questions combine plate fields, equipotential lines and charge motion or ask which diagram statements are correct.
Which statements / What is correct
Draw field lines normal to equipotentials, point them toward lower potential, and reverse the force direction for a negative charge.
Confusing field-line and equipotential directions, or failing to reverse force direction for a negative charge.
Representative question
A particle with charge −2.5×10−6C 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
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