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Question

A square loop of wire with sides of length L and carrying a conventional current I lies in the yz plane with its center at the origin. What is the approximate equation for the magnitude of the magnetic field at a location x that is much greater than L, in terms of the magnetic moment of the loop?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3To solve this problem, we'll take final result from the previous problem.

$\begin{equation} B_{x} = \dfrac{\mu_{0}IL^{2}}{2\pi} \cdot \dfrac{1}{x^{2} + \dfrac{L^{2}}{4}} \cdot \dfrac{1}{\sqrt{x^{2} + \dfrac{L^{2}}{2}}} \end{equation}$

Here, we can define a magnetic moment $\mu$ as $\mu = I \cdot A$ where $A = L^{2}$

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