Find the distribution of magnetic field induction around an infinite straight wire carrying a current I.

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Solutions of Savchenko Problems in Physics
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    <h3 id="back-link"><a href="/#9.2">$\leftarrow$Back</a></h3>

    <h3> Statement </h3>
    <p>
        $9.2.3.$ Find the distribution of magnetic field induction around an infinite straight wire carrying a current $I$.
    </p>

    <h3>Solution</h3>
    <p>
        We write down the current strength by definition, we find the speed of current flow

$$I = \frac{dq}{dt} = \frac{\lambda dl}{dt} = \lambda v \Rightarrow v = \frac{I}{\lambda}$$
Field of a charged filament with linear charge density $\lambda$:
$$E = \frac{\lambda}{2\pi\varepsilon_0 R}$$
Where do we find the distribution of magnetic field induction around the wire?
$$B = \varepsilon_0 \mu_0 Ev\Rightarrow \boxed{B = \frac{\mu_0 I}{2\pi R}}$$

    </p>

    <h4>Answer</h4>
    <p>
        $$B = \frac{\mu_0 I}{2\pi R}$$
    </p>
	<p style="text-align: right; font-style: italic; font-size: 14;">
      Andrei Yersh<br>
    </p>


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