#### Question

The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00 $\mu \mathrm { T }$. At what distance is it 0.100 $\mu \mathrm { T }$?

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#### Step 1

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In this problem, we are given that a current-carrying wire has current $I = 2.00~\mathrm{A}$. At a distance $r_{1} = 40.0~\mathrm{cm} = 0.400~\mathrm{m}$, the magnetic field is $B_{1} = 1.00~\mathrm{\mu T}$. We calculate the distance such that the magnetic field is $B_{2} = 0.100~\mathrm{\mu T}$.

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