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IB Physics: Electric Fields & Coulomb's Law — FAQ

Answered by RevisionPrep's IB Educators

Electric fields and Coulomb's law sit in Theme C (SL) and extend further at HL in IB Physics. Students lose marks here for mixing up field and potential, or misapplying the vector nature of force. Here's what I tell every student I teach, question by question.

Concept & Content

Electric fields & Coulomb's law: what do you actually need to know for IB Physics?

You need Coulomb's law (F = kq1q2/r²) for point charges, the definition of electric field strength (E = F/q), field patterns around point and parallel-plate charges, and — at HL — the relationship between field and potential (E = −dV/dr). SL stops at qualitative field lines and simple calculations; HL adds the calculus link.

According to the IB Diploma Programme Physics guide (first assessment 2025), this content sits under Theme C: Wave behaviour and Theme D: Fields, with Coulomb's law and electric field strength examined at both SL and HL, and the field–potential gradient relationship reserved for HL only.

Quick tip: Always check whether a question gives you charge in microcoulombs (µC) — forgetting the 10⁻⁶ conversion is the single most common arithmetic slip I see in mock papers.

What's the difference between electric field and electric potential in IB Physics?

Electric field (E) is a vector — force per unit charge, measured in N C⁻¹ or V m⁻¹, and it tells you direction and magnitude of force on a charge. Electric potential (V) is a scalar — energy per unit charge, measured in volts, and tells you work done moving a charge from infinity.

Students conflate these constantly because both formulas use k and r. Field falls off as 1/r², potential as 1/r — that difference alone explains why the field-potential graph question is a recurring HL Paper 2 favourite.

How do you calculate electric field strength from Coulomb's law?

Electric field strength at a point is the force per unit charge a small positive test charge would feel there: E = kQ/r², derived directly from Coulomb's law F = kQq/r² divided by q. Direction is radially outward from a positive charge, inward toward a negative one.

Worked example: Find the field strength 0.30 m from a point charge of +5.0 µC.

  1. E = kQ/r²
  2. E = (8.99 × 10⁹ × 5.0 × 10⁻⁶) / (0.30)²
  3. E = 44 950 / 0.09
  4. E ≈ 5.0 × 10⁵ N C⁻¹, directed away from the charge.

That's a standard 3-mark Paper 1 or Paper 2 calculation — examiners want the formula stated, correct substitution, and a unit.

What's the difference between electric fields and gravitational fields in IB Physics?

Both follow an inverse-square law and share almost identical formula structures, but electric fields can attract or repel (charges come in two signs) while gravitational fields only attract (mass is always positive). The IB data booklet lists them side by side because the maths is deliberately parallel.

See the comparison table below — this pairing shows up constantly in Paper 2 'compare and contrast' short-answer questions worth 2-3 marks.

Exam & Syllabus

Is Coulomb's law on both SL and HL Physics?

Yes — Coulomb's law, electric field strength, and field patterns around point charges are common to both SL and HL. What's HL-only is the deeper treatment: field-potential relationships via calculus, combined electric and gravitational field problems, and more demanding multi-charge superposition questions.

If you're SL, don't panic when you see a past paper question that looks calculus-heavy on this topic — check the paper year and level first, since older exams sometimes mixed content differently before the current guide.

What formulas do I need to know for electric fields in the IB Physics data booklet?

The data booklet gives you F = kq1q2/r² (Coulomb's law), E = F/q (field strength), E = kQ/r² (field from a point charge), and V = kQ/r (potential). HL adds W = qV for work done and the field-potential gradient relationship in the electricity and magnetism section.

You don't need to memorise the constant k — it's provided (8.99 × 10⁹ N m² C⁻²), along with permittivity of free space ε₀, so the exam is testing application, not recall of numbers.

What are common exam mistakes with electric fields questions?

The three I see every year: forgetting field is a vector and adding magnitudes instead of components; confusing field strength with potential in graph questions; and dropping the negative sign when a charge is negative, which flips the direction of force entirely.

Common mistake checklist — check before you submit any electric fields answer:

  1. Have I kept charge signs through the whole calculation, not just at the end?
  2. Did I resolve field vectors into components before adding, if more than one charge is involved?
  3. Have I used the right formula — E for field, V for potential — and matched units (N C⁻¹ vs V)?
  4. Did I convert µC or nC into base SI units before substituting?

How to Study & Get a 7

How do I get a 7 in the IB Physics electricity and fields topics?

Grade 7 students on this topic can move fluently between field, force and potential without re-deriving formulas each time, and they always sketch a diagram before calculating — field direction errors cost more marks than arithmetic errors. Practising multi-charge superposition problems is what separates a 6 from a 7.

In my experience marking mocks, the difference between a 6 and a 7 here is rarely the calculation — it's whether the student states direction and justifies sign conventions explicitly, which IB examiner reports repeatedly flag as under-communicated even when the number is correct.

What past-paper style questions come up on Coulomb's law?

Expect a mix: a straightforward point-charge calculation (Paper 1 or short Paper 2), a two-charge superposition problem where you resolve vectors, a field-line sketching question, and — at HL — a combined gravitational/electric field comparison or a graph interpreting E versus r.

Topical worksheets on RevisionPrep group these by exact question type, so you can drill the superposition-vector questions specifically rather than working through a whole past paper to find two relevant questions.

Difficulty & Comparisons

Is electric fields and Coulomb's law hard in IB Physics?

It's moderately demanding rather than brutally hard — the maths itself (inverse-square law, vector addition) is manageable, but the conceptual overlap with gravitational fields and electric potential trips up students who memorise formulas without understanding what each variable represents.

Students who've done well in the Gravitational Fields topic first usually find this one easier, since the mathematical structure — and the common mistakes — are nearly identical.

How does IB Physics electric fields compare to A-level or AP Physics?

IB Physics covers similar core content to A-level Physics and AP Physics 2, but the IB's internal assessment and data-based Paper 3 questions ask students to apply Coulomb's law in unfamiliar experimental contexts, not just recall and calculate — which tends to demand more transferable understanding than a pure recall exam.

AspectIB PhysicsA-level PhysicsAP Physics 2
Coulomb's law depthSL & HL, HL adds calculus linkSimilar core contentAlgebra-based only
Assessment styleData-based Paper 3, IAWritten examsMCQ + free response
Field-potential calculusHL onlyA-level (Physics A)Not required

What resources help most for revising electric fields for IB Physics?

The most effective combination is targeted topical practice, concise revision notes that separate SL from HL content clearly, and full mock papers under timed conditions closer to exams. On RevisionPrep, students can work through Topical Worksheets on fields specifically, then check understanding against structured Revision Notes.

A cost-effective approach for parents: rather than buying a generic full-syllabus guide, look for resources organised by exact IB syllabus subtopic — it saves your child time hunting through irrelevant chapters and keeps revision focused on what's actually examined.

Electric Fields vs Gravitational Fields (IB Physics)

FeatureElectric fieldGravitational field
FormulaE = kQ/r²g = GM/r²
Source quantityCharge (± sign)Mass (always +)
Force directionAttract or repelAlways attract
Constantk = 8.99 × 10⁹ N m² C⁻²G = 6.67 × 10⁻¹¹ N m² kg⁻²
IB levelSL & HLSL & HL

For worked problems on Coulomb's law and electric fields, work through the Topical Worksheets and Revision Notes for this subtopic on revisionprep.com, then test yourself under timed conditions with a full Mock Paper.

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