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What is the far axial magnetic field of a solenoid expressed in terms of its total magnetic moment \[m\]?

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Question

What is the far axial magnetic field of a solenoid expressed in terms of its total magnetic moment \[m\]?

Options

  • \[B=\frac{\mu_0}{4\pi}\cdot\frac{2r^3}{m}\]

  • \[B=\frac{\mu_0}{4\pi}\cdot\frac{2m}{r^2}\]

  • \[B=\frac{\mu_0}{4\pi}\cdot\frac{2m}{r^3}\]

  • \[B=\frac{\mu_0}{4\pi}\cdot\frac{m}{r^3}\]

MCQ
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Solution

The far axial field is \[B=\frac{\mu_0}{4\pi}\cdot\frac{2m}{r^3}\]. It has the same form as the far axial field of a bar magnet.

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