Picture of coil of wire for physics practicals

Physics

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Answer

This appears to be a question about calculating the magnetic field inside a solenoid.

Step-by-step solution

4 steps
  1. Identify the relevant formula.

    The magnetic field (B) inside a long solenoid is given by:
    B = μ₀ × (N/L) × I

    Where:
    μ₀ is the permeability of free space (a constant, 4π × 10⁻⁷ T·m/A)
    N is the number of turns in the coil
    L is the length of the coil
    I is the current flowing through the coil

  2. Extract values from the image and problem description.

    From the image, I can see:

    • Number of turns (N) = 200 turns
    • Length of the coil (L) = 0.10 m
    • Current (I) = 2.0 A
  3. Substitute the values into the formula.

    B = (4π × 10⁻⁷ T·m/A) × (200 turns / 0.10 m) × 2.0 A

  4. Calculate the result.

    B = (4π × 10⁻⁷) × (2000 m⁻¹) × 2.0 A
    B = (4π × 10⁻⁷) × 4000 T
    B = 16000π × 10⁻⁷ T
    B = 1.6π × 10⁻³ T
    B ≈ 5.03 × 10⁻³ T

    The magnetic field inside the solenoid is approximately 5.03 × 10⁻³ Tesla.

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