A 15.0 cm long solenoid with radius 0.750 cm is closely wound with 600 turns of wire. the current in the windings is 8.00 a.

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The magnetic field at a point near the center of the solenoid is equal to [tex]4.02 \times 10^{-2}\;Tesla[/tex]

Given the following data:

  • Length = 15.0 cm to m = 0.15 m.
  • Radius = 0.750 cm.
  • Number of turns = 600 turns.
  • Current = 8.00 A.

How to calculate the magnetic field.

Mathematically, the magnetic field at a point near the center of the solenoid is given by this formula:

[tex]B=\frac{\mu_o NI}{L}[/tex]

Where:

  • [tex]\mu_o[/tex] is the vacuum permeability.
  • N is the number of turns.
  • L is the length.
  • I is the current.

Substituting the given parameters into the formula, we have;

[tex]B=\frac{4\pi \times 10^{-7} \times 600 \times 8.00}{0.15}\\\\B=4.02 \times 10^{-2}\;Tesla[/tex]

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