Edexcel IAL Physics revision

Edexcel IAL Physics revision · A2 — Fields

Electric fields

Gravitational fields with the masses swapped for charges — same inverse-square shape, same potential logic, two new twists: charge comes in two signs, and uniform fields between plates behave completely differently from radial ones.

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What the syllabus demands

  • Use Coulomb's law: F = Qq ÷ 4πε₀r²
  • Define electric field strength E = F/Q; use E = Q ÷ 4πε₀r² for point charges
  • Use E = V/d for uniform fields between parallel plates
  • Define electric potential; use V = Q ÷ 4πε₀r
  • Analyse the motion of charged particles in uniform electric fields

Definitions that earn marks

Clear definitions to practise — check your course mark scheme

Electric field strength
The force per unit positive charge at a point: E = F ÷ Q. Units: N/C or V/m.
Electric potential
The work done per unit positive charge in bringing a small test charge from infinity to the point: V = Q ÷ 4πε₀r.
Coulomb's law
The force between two point charges is proportional to the product of the charges and inversely proportional to the square of their separation.

The equations

Coulomb's lawF = Qq ÷ 4πε₀r² · N
Field of a point chargeE = Q ÷ 4πε₀r² · V/m
Uniform fieldE = V ÷ d · V/m
Potential of a point chargeV = Q ÷ 4πε₀r · V

More equations to practise: the Edexcel IAL formula sheet.

Where the marks die

Common mistakes to check

  1. 01

    Using E = V/d for a point charge, or the inverse-square formula between plates. Radial fields: inverse-square. Parallel plates: uniform, E = V/d. Identify the geometry before choosing the equation.

  2. 02

    Sign carelessness with potential: unlike gravitational potential, electric potential can be positive (near positive charge) or negative (near negative charge). Keep the sign of Q in the formula.

  3. 03

    Field strength falls as 1/r², but potential falls as 1/r. Mixing the powers is the classic error on sketch-graph questions.

  4. 04

    A charged particle between plates follows a parabola — treat it exactly like projectile motion: constant velocity along the plates, constant acceleration (F = EQ, a = EQ/m) across them.

One worked example, done properly

Question

An electron enters the field between parallel plates 2.0 cm apart with a p.d. of 400 V. Find the force on the electron. (e = 1.6 × 10⁻¹⁹ C)

Method

  1. 1.E = V/d = 400 ÷ 0.020 = 2.0 × 10⁴ V/m.
  2. 2.F = EQ = 2.0 × 10⁴ × 1.6 × 10⁻¹⁹.

F = 3.2 × 10⁻¹⁵ N, towards the positive plate

Test yourself

10 questions · instant marking

Question 1 of 10

The electric field strength between parallel plates 5.0 cm apart with a p.d. of 200 V is:

Question 2 of 10

The field between parallel plates (away from the edges) is:

Question 3 of 10

Electric field strength of a point charge falls with distance as:

Question 4 of 10

Doubling the distance from a point charge changes the force on a test charge by a factor of:

Question 5 of 10

A charged particle moving parallel to the plates in a uniform field follows a path that is:

Question 6 of 10

Electric potential near an isolated negative charge is:

Question 7 of 10

The force on an electron (q = 1.6 × 10⁻¹⁹ C) in a field of 5.0 × 10⁴ V/m is:

Question 8 of 10

Unlike gravitational fields, electric fields can:

Question 9 of 10

The work done moving a charge q through a potential difference V is:

Question 10 of 10

Where the equipotential lines around a charge are closest together, the field is:

Fit these topics into your free physics revision plan

Common questions

Asked, answered.

How are electric and gravitational fields similar and different?

Both are inverse-square with analogous potential (1/r) formulas. The differences: electric forces can attract or repel (two signs of charge) while gravity only attracts, and electric fields can be shielded while gravity cannot.

When do you use E = V/d versus the inverse-square formula?

E = V/d applies only to the uniform field between parallel plates. The inverse-square formula applies to the radial field of a point (or spherical) charge. The geometry of the question decides — never the numbers.

What path does a charged particle take in a uniform electric field?

A parabola, exactly like a projectile: constant velocity parallel to the plates, constant acceleration a = EQ/m perpendicular to them. All the projectile techniques from AS kinematics transfer directly.

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