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Problem 62 Hard Difficulty

For two long parallel wires separated by a distance $d,$ carrying currents $I_{1}$ and $I_{2}$ as in Fig. $10,$ show directly $(\mathrm{Eq} .1)$ that Ampere's law is valid (but do not use Ampere's law) for
a circular path of radius $r(r<d)$ centered on $I_{1} :$

$\oint \vec{\mathbf{B}} \cdot d \vec{\ell}=\mu_{0} I_{1}$

Answer

\mu_{0} I_{1}

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University of Wisconsin - Madison
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

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LB
Liev B.

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Farnaz M.

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Physics 102 Electricity and Magnetism Bootcamp

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