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Physics · Grades 11–12

Average induced emf

Use flux change per turn; the question asks magnitude, not the direction set by Lenz’s law.

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Rule and assumptions

Use flux change per turn; the question asks magnitude, not the direction set by Lenz’s law.

|ε̄| = N|ΔΦ|/Δt

Worked examples

A 790-turn coil has flux change 2 mWb per turn over 400 ms. Find average induced emf magnitude. Round to 3 decimal places if needed. Answer in V.

|ε̄| = N|ΔΦ|/Δt 790 × (2/1000) / (400/1000) = 3.95

3.95 V

A 470-turn coil has flux change 21 mWb per turn over 80 ms. Find average induced emf magnitude. Round to 3 decimal places if needed. Answer in V.

|ε̄| = N|ΔΦ|/Δt 470 × (21/1000) / (80/1000) = 123.375

123.375 V

Try two questions

  1. A 90-turn coil has flux change 39 mWb per turn over 360 ms. Find average induced emf magnitude. Round to 3 decimal places if needed. Answer in V.

  2. A 210-turn coil has flux change 24 mWb per turn over 420 ms. Find average induced emf magnitude. Round to 3 decimal places if needed. Answer in V.

Answers and reasoning

Answers and marking notes
  1. 9.75 V

    |ε̄| = N|ΔΦ|/Δt 90 × (39/1000) / (360/1000) = 9.75

  2. 12 V

    |ε̄| = N|ΔΦ|/Δt 210 × (24/1000) / (420/1000) = 12

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.