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Science lesson plan · 12th grade (Year 13 in England) · 45 minutes

Coulomb's law: force between charges

Electricity and magnetism

CCSS NGSS.HS-PS2-4England: A level Physics: Electric fields (extension)

Objective and success criteria

Students will: Coulomb's law: force between charges.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Static electricity and charges; Newton's law of gravitation and field strength

Leads to: the next skill in this area.

Materials: Circuit kits (cells, wires, bulbs), Circuit symbol cards, Mini whiteboards, A diagram or short video clip of the idea, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Static electricity and charges; Newton's law of gravitation and field strength). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. An object with a − charge is brought near an object with a + charge. Do they attract or repel? (attract / repel) → attractPrompt: Like charges repel; opposite charges attract.
  2. The distance between two masses is multiplied by 4. By what factor does the gravitational force between them change? (F = G m₁ m₂ ÷ r²; give 4 decimal places if needed) → 0.0625Prompt: Force is proportional to each mass.
  3. Your hair stands up after you pull off a woolly hat. Why? (The hairs gain the same charge and repel each other / The hairs lose their mass / The hairs become magnetic / Cold air lifts them) → The hairs gain the same charge and repel each otherPrompt: Like charges repel.

Hook · 5 min

  • Show a circuit with a gap and ask why the bulb doesn't light.
  • Share the objective: Coulomb's law: force between charges. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Two small charged spheres carry 3 µC and 2 µC and are 0.5 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places)
  • Step 1: F = 8.99 × 10⁹ × 3 × 10⁻⁶ × 2 × 10⁻⁶ ÷ 0.5² = 0.216
  • Step 2: So the answer is: 0.22 N
  • Answer: 0.22 N
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. Two small charged spheres carry 5 µC and 1 µC and are 0.5 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places) → 0.18 NPrompt: Convert µC to C.
  2. Both charges are multiplied by 3 and the distance is unchanged. By what factor does the force change? → 9Prompt: F ∝ q₁ q₂ ÷ r²

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Two small charged spheres carry 3 µC and 3 µC and are 0.5 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places) → 0.32 NPrompt: Convert µC to C.
  2. The distance between two charges is multiplied by 4. By what factor does the electrostatic force change? (Give 4 decimal places.) → 0.0625Prompt: F ∝ q₁ q₂ ÷ r²

Watch out for

  • Everyday meanings of words getting in the way of the science meaning: define key words explicitly.
  • Remembering facts without the reason: ask "why?" and "what is the evidence?"

Support and stretch

Support

  • Review first: Static electricity and charges.
  • Use concrete materials: circuit kits (cells, wires, bulbs).
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/science/grade-12.

Free lesson plan from eurekami.com/lesson-plan-builder

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Coulomb's law: force between charges

Name

Date

Score/ 8

  1. Question 1

    Two small charged spheres carry 3 µC and 2 µC and are 0.5 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places)

    AnswerN

  2. Question 2

    How is Coulomb's law similar to Newton's law of gravitation?

    • A. Both depend on mass
    • B. Both forces are always attractive
    • C. Both are unaffected by distance
    • D. Both are inverse square laws
  3. Question 3

    The distance between two charges is multiplied by 3. By what factor does the electrostatic force change? (Give 4 decimal places.)

    Answer

  4. Question 4

    Two small charged spheres carry 5 µC and 6 µC and are 0.3 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places)

    AnswerN

  5. Question 5

    Why don't we notice electrostatic forces between everyday objects most of the time?

    • A. Most objects are electrically neutral, with equal positive and negative charge
    • B. Air blocks them
    • C. Electrostatic forces are very weak
    • D. They only act in space
  6. Question 6

    Both charges are multiplied by 2 and the distance is unchanged. By what factor does the force change?

    Answer

  7. Question 7

    One charge is multiplied by 4 and the distance is unchanged. By what factor does the force change?

    Answer

  8. Question 8

    Two small charged spheres carry 4 µC and 1 µC and are 0.2 m apart. What is the size of the force between them, in N? (F = k q₁ q₂ ÷ r², k = 8.99 × 10⁹ N m²/C², 1 µC = 10⁻⁶ C; give 2 decimal places)

    AnswerN

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Answer key: Coulomb's law: force between charges

  1. 1. 0.22 N

  2. 2. D. Both are inverse square laws

  3. 3. 0.1111

  4. 4. 3 N

  5. 5. A. Most objects are electrically neutral, with equal positive and negative charge

  6. 6. 4

  7. 7. 4

  8. 8. 0.9 N