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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) → repelPrompt: 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. What causes lightning? (Magnets in the clouds / Thunder heating the air / The Sun's light / A huge build-up of static charge in clouds discharging) → A huge build-up of static charge in clouds dischargingPrompt: It is like a giant spark.

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 3 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) → 0.11 NPrompt: Convert µC to C.
  2. Both charges are multiplied by 2 and the distance is unchanged. By what factor does the force change? → 4Prompt: 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. Why don't we notice electrostatic forces between everyday objects most of the time? (Most objects are electrically neutral, with equal positive and negative charge / Electrostatic forces are very weak / They only act in space / Air blocks them) → Most objects are electrically neutral, with equal positive and negative chargePrompt: The force is huge compared with gravity, so why is it hidden?
  2. Both charges are multiplied by 3 and the distance is unchanged. By what factor does the force change? → 9Prompt: 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

    Both charges are multiplied by 4 and the distance is unchanged. By what factor does the force change?

    Answer

  2. Question 2

    Two small charged spheres carry 1 µC and 1 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

  3. Question 3

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

    • A. Both forces are always attractive
    • B. Both depend on mass
    • C. Both are inverse square laws
    • D. Both are unaffected by distance
  4. Question 4

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

    Answer

  5. Question 5

    Two small charged spheres carry 1 µC and 6 µC and are 0.1 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

  6. Question 6

    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. They only act in space
    • D. Electrostatic forces are very weak
  7. Question 7

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

    Answer

  8. Question 8

    Two small charged spheres carry 2 µC and 3 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

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Answer key: Coulomb's law: force between charges

  1. 1. 16

  2. 2. 0.1 N

  3. 3. C. Both are inverse square laws

  4. 4. 4

  5. 5. 5.39 N

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

  7. 7. 0.0625

  8. 8. 0.6 N