Translated 9.2.1-9.2.9

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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>
+ $$B = \frac{\mu_0 I}{2\pi R}$$
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