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11th grade Magnetic field around a wire and inside a coil worksheet

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Magnetic field around a wire and inside a coil

Grade 11 Science Worksheet

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Circle the best answer, or write your answer on the line.

  1. A solenoid has 1200 turns over 0.4 m. What current gives a field of 9 mT inside, to 0.01 A, Esme? Use μ₀ = 4π × 10⁻⁷ T·m/A.

  2. A solenoid has 300 turns over 0.15 m. What current gives a field of 2 mT inside, to 0.01 A, Jun? Use μ₀ = 4π × 10⁻⁷ T·m/A.

  3. The current in a long wire doubles. What happens to the field 3 cm away, Kira?

    • It doubles
    • It stays the same
    • It becomes 4 times as strong
  4. A point moves from 2 cm to 6 cm away from a long wire. What happens to the field, Luz?

    • It falls to a ninth
    • It triples
    • It falls to a third
  5. The field 4 cm from a long wire is 50 μT. What is it 1 cm from the wire, Milo?

    • 12.5 μT
    • 800 μT
    • 200 μT
  6. A solenoid's turns per meter are doubled at the same current. What happens to the field inside, Noah?

    • It doubles
    • It halves
    • It stays the same, since the current did not change
  7. A solenoid is made twice as long by adding turns at the same spacing, at the same current. What happens to the field inside, Pia?

    • It stays the same
    • It doubles, since there are twice as many turns
    • It halves, since it is twice as long
  8. Solenoid A has 1000 turns over 0.5 m; solenoid B has 1000 turns over 0.25 m. Both carry 2 A. Which has the stronger field inside, Ren?

    • They are equal, with 1000 turns each
    • A, since it is longer
    • B, with twice A's field
  9. Read this first

    Table (example data), field 2 cm from a long straight wire

    Current 2 A, 20 μT; 4 A, 40 μT; 6 A, 60 μT; 8 A, 80 μT.

  10. Using the table, how does the field change with the current, Tala?

    • It grows as the current squared
    • It grows in step with the current
    • It stays the same for each current
  11. Using the table, what would the field be at 4 cm for 8 A, Ari?

    • 160 μT
    • 40 μT
    • 20 μT
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11th grade Magnetic field around a wire and inside a coil worksheet – printable
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About this worksheet

Magnetic field around a wire and inside a coil. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the field of a long straight wire with B = μ₀I ÷ (2πr), and its direction with the right-hand rule.
  • I can scale the wire's field (it grows with I and falls as 1 ÷ r) and add the fields of two wires midway between them.
  • I can use B = μ₀nI inside a long solenoid, with n = N ÷ L, and explain why its length does not matter at fixed n.

Standard: supports HS-PS2-5

Words to know

μ₀: The magnetic constant, 4π × 10⁻⁷ T·m/A

tesla (T): The unit of magnetic field; 1 μT = 10⁻⁶ T

solenoid: A long coil of wire

turns per meter (n): Total turns divided by the coil's length, N ÷ L

right-hand rule: Thumb along the current; fingers curl with the field

Common mistakes

Your child used the distance squared. The field of a long straight wire falls as 1 ÷ r, so B = μ₀I ÷ (2πr), with r in meters.

Your child used the total number of turns. B = μ₀nI uses n, the turns per meter, which is N ÷ L.

Your child subtracted fields that add. Between wires with opposite currents, both fields point the same way, so they add.

Questions parents ask

What is the most common mistake with magnetic field around a wire and inside a coil?

Your child used the distance squared. The field of a long straight wire falls as 1 ÷ r, so B = μ₀I ÷ (2πr), with r in meters.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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